Maksimov and Kolovsky, Equation (4)

Time bar (total: 10.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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 (21.2%)

Memory
-63.9MiB live, 2 765.8MiB allocated
Samples
791.0ms1 916×1valid
691.0ms6 340×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-exp: 436.0ms (36.1% of total)
ival-cos: 328.0ms (27.2% of total)
ival-mult: 181.0ms (15% of total)
ival-div: 58.0ms (4.8% of total)
ival-sub: 52.0ms (4.3% of total)
ival-add: 52.0ms (4.3% of total)
adjust: 48.0ms (4% of total)
ival-neg: 37.0ms (3.1% of total)
ival-true: 7.0ms (0.6% of total)
exact: 6.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain259.0ms (2.4%)

Memory
-8.4MiB live, 393.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1170-1(-6.1122213718409324e-254 -0.016645941666555378 51857397483726.95 48478672.9810089)(-.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))))
0116(2.8786443512169163e-214 -2.2161484020717805e+109 -2.876187814132632e+260 1.4502510388165828e-148)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
02(-6.195415038895343e-300 429.8287971880816 -2.5062954235855298e+72 -1.4611420674432457e+69)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)))sensitivity1161
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation410
exp.f64(exp.f64 (neg.f64 l))sensitivity20
Confusion
Predicted +Predicted -
+370
-99120
Precision
0.27205882352941174
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3700
-990120
Precision?
0.27205882352941174
Recall?
1.0
Freqs
test
numberfreq
0120
1113
223
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms174×1valid
36.0ms286×0valid
32.0ms52×2valid
Compiler

Compiled 202 to 60 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-exp: 54.0ms (52% of total)
ival-cos: 16.0ms (15.4% of total)
ival-mult: 10.0ms (9.6% of total)
adjust: 6.0ms (5.8% of total)
ival-sub: 5.0ms (4.8% of total)
ival-div: 4.0ms (3.9% of total)
ival-add: 4.0ms (3.9% of total)
ival-neg: 2.0ms (1.9% of total)
ival-true: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess127.0ms (1.2%)

Memory
8.6MiB live, 81.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066216
1162211
2457210
31541210
45276210
01415
02315
13615
26215
312515
428315
551015
669915
7118615
8172915
9191915
10200415
11201515
12201515
0201514
Stop Event
iter limit
saturated
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 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(+.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)

simplify65.0ms (0.6%)

Memory
7.5MiB live, 50.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
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 (*.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
13661
26261
312561
428361
551061
669961
7118661
8172961
9191961
10200461
11201561
12201561
0201560
Stop Event
iter limit
saturated
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 (exp.f64 l) (exp.f64 (neg.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 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
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

localize92.0ms (0.9%)

Memory
7.8MiB live, 120.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy0.00390625
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy0.05078125
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy26.79004986529235
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
49.0ms87×1valid
17.0ms143×0valid
15.0ms26×2valid
Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-exp: 36.0ms (55.7% of total)
ival-cos: 8.0ms (12.4% of total)
adjust: 7.0ms (10.8% of total)
ival-mult: 7.0ms (10.8% of total)
ival-sub: 2.0ms (3.1% of total)
ival-div: 2.0ms (3.1% of total)
ival-add: 2.0ms (3.1% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-17.8MiB live, 37.6MiB allocated
Counts
5 → 40
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))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
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 (* 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)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (exp (neg l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 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) (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 (* -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
9.0ms
l
@-inf
((+ (* (* 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))) (cos (/ K 2)))
2.0ms
J
@0
((+ (* (* 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))) (cos (/ K 2)))
2.0ms
K
@inf
((+ (* (* 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))) (cos (/ K 2)))
2.0ms
l
@0
((+ (* (* 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))) (cos (/ K 2)))
2.0ms
J
@-inf
((+ (* (* 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))) (cos (/ K 2)))

simplify159.0ms (1.5%)

Memory
6.9MiB live, 230.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145742
1453742
21464632
33603632
08258580
Stop Event
iter limit
node limit
Counts
40 → 39
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 (* 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)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (exp (neg l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* 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) (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 (* -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)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(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 #s(literal 2 binary64) l) J) (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) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (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 (*.f64 (*.f64 l J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) 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) l) J)
(* 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) l) J))
(* 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)
(* 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)
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.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)
(* 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)
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+ 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 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64)))) (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 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64)))) (*.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
#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))
(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)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)

rewrite140.0ms (1.3%)

Memory
8.8MiB live, 202.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
02338
17238
243338
0450037
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 264
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))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (-.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(*.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) (/.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U))))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) (*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (/.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (*.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (pow.f64 (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
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(+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))

eval62.0ms (0.6%)

Memory
17.0MiB live, 64.4MiB allocated
Compiler

Compiled 9 696 to 1 168 computations (88% saved)

prune17.0ms (0.2%)

Memory
-10.7MiB live, 27.0MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2878295
Fresh000
Picked101
Done000
Total2888296
Accuracy
100.0%
Counts
296 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
25.6%
(/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
95.5%
(+.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)
94.0%
(+.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)
88.4%
(+.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)
76.4%
#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))
61.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
84.7%
#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 428 to 318 computations (25.7% saved)

simplify148.0ms (1.4%)

Memory
-15.2MiB live, 164.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff0
(neg.f64 U)
cost-diff0
(fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))
cost-diff21568
(/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
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
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (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) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
cost-diff0
(*.f64 K #s(literal -1/2 binary64))
cost-diff0
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056506
097506
1173506
2342506
31021488
44178471
57992471
08003468
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
(*.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) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
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
(/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))
(neg.f64 U)
U
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(sinh.f64 l)
l
J
#s(literal 2 binary64)
(fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.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 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
(*.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) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
(fma.f64 (*.f64 (*.f64 #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 (*.f64 #s(literal 2 binary64) l) J) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
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)))
(/.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)))
(/.f64 K #s(literal 2 binary64))
K
U
(/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(*.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal 1 binary64))
(fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))
(neg.f64 U)
U
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(*.f64 J (sinh.f64 l))
(sinh.f64 l)
l
J
#s(literal 2 binary64)
(fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))
(fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))

localize650.0ms (6.1%)

Memory
30.0MiB live, 724.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))
accuracy0.0859375
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))
accuracy0.7499917428166807
(fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))
accuracy13.552874058177204
(/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
accuracy0.00390625
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy0.01171875
(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))
accuracy0.05078125
(*.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))))
accuracy0.7188936560603776
#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))
accuracy0.00390625
(*.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)))
accuracy0.00390625
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy0.05078125
(*.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))))
accuracy0.8039262851811855
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) K)
accuracy0.00390625
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy0.03125
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
accuracy0.5580887381742123
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
accuracy0.00390625
(sinh.f64 l)
accuracy0.00390625
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy0.0390625
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy0.046875
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Samples
415.0ms136×5exit
114.0ms87×1valid
53.0ms26×2valid
3.0ms0valid
Compiler

Compiled 907 to 111 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 468.0ms
ival-cos: 145.0ms (31% of total)
ival-mult: 102.0ms (21.8% of total)
adjust: 69.0ms (14.7% of total)
ival-add: 60.0ms (12.8% of total)
ival-exp: 39.0ms (8.3% of total)
const: 16.0ms (3.4% of total)
ival-pow2: 10.0ms (2.1% of total)
ival-sinh: 8.0ms (1.7% of total)
ival-div: 7.0ms (1.5% of total)
ival-neg: 7.0ms (1.5% of total)
ival-sub: 5.0ms (1.1% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series90.0ms (0.8%)

Memory
-15.1MiB live, 188.9MiB allocated
Counts
26 → 122
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
(+.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))
(/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))
(neg.f64 U)
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))
(sinh.f64 l)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(cos.f64 (/.f64 K #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))
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 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))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* -1 (pow U 2))
(+ (* -1 (pow U 2)) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))
(* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp 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)))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))
(* -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)))))
(+ 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 (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 (* 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 (+ (* 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)))))))
(* 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)))))))
(+ U (* l (- (* (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 (pow U 2)) (* 4 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2)))))
(+ (* -1 (pow U 2)) (* (pow l 2) (+ (* 4/3 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2)))) (* 4 (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ (* -1 (pow U 2)) (* (pow l 2) (+ (* 4 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* (pow l 2) (+ (* 8/45 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2)))) (* 4/3 (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* 4 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2))))
(* (pow l 2) (+ (* 4/3 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2)))) (* 4 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(* (pow l 2) (+ (* 4 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* (pow l 2) (+ (* 8/45 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2)))) (* 4/3 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(* (pow l 2) (+ (* 4 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* (pow l 2) (+ (* 4/3 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* (pow l 2) (+ (* 4/315 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2)))) (* 8/45 (* (pow J 2) (pow (cos (* -1/2 K)) 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
(+ 1/3 (* 1/60 (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))))))))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(- (exp l) (exp (neg l)))
(/ (+ (* -1 (pow U 2)) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (- (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 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)))))
(* 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))))))))
(+ (* -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 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (* J (- (exp l) (/ 1 (exp l)))) U))
(+ (* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* (pow K 2) (- (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))))
(+ (* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* (pow K 2) (- (+ (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* (pow K 2) (- (* 1/48 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/8 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 1/384 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))))
(+ (* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* (pow K 2) (- (+ (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* (pow K 2) (- (+ (* 1/48 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* (pow K 2) (- (* -1/1440 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/8 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* 1/48 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/8 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 1/384 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/46080 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (* 1/384 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U)))))))) (+ (* -1/8 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 1/384 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))))
(+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)))
(+ (* -1 (pow U 2)) (+ (* -1/4 (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))))
(+ (* -1 (pow U 2)) (+ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (* (pow K 2) (+ (* -1/4 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* 1/48 (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2))))))))
(+ (* -1 (pow U 2)) (+ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (* (pow K 2) (+ (* -1/4 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* (pow K 2) (+ (* -1/1440 (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* 1/48 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))))))
(* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))
(+ (* -1/4 (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)))
(+ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (* (pow K 2) (+ (* -1/4 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* 1/48 (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))))
(+ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (* (pow K 2) (+ (* -1/4 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* (pow K 2) (+ (* -1/1440 (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* 1/48 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))))))))
(* 1/2 K)
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* 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)))))))))
(+ (* 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))))))))))
(cos (* -1/2 K))
(cos (* 1/2 K))
(* -1 U)
(* 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))))
(* (pow U 2) (- (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2)) 1))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
13.0ms
l
@-inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 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))) (+ (* (* 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))) (/ (+ (* (neg U) U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2)) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (+ (* (neg U) U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2)) (neg U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (cos (/ K 2)) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (cos (* K -1/2)) (* (* (sinh l) J) 2)))
12.0ms
J
@0
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 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))) (+ (* (* 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))) (/ (+ (* (neg U) U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2)) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (+ (* (neg U) U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2)) (neg U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (cos (/ K 2)) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (cos (* K -1/2)) (* (* (sinh l) J) 2)))
9.0ms
l
@inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 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))) (+ (* (* 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))) (/ (+ (* (neg U) U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2)) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (+ (* (neg U) U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2)) (neg U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (cos (/ K 2)) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (cos (* K -1/2)) (* (* (sinh l) J) 2)))
9.0ms
K
@0
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 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))) (+ (* (* 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))) (/ (+ (* (neg U) U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2)) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (+ (* (neg U) U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2)) (neg U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (cos (/ K 2)) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (cos (* K -1/2)) (* (* (sinh l) J) 2)))
8.0ms
J
@inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 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))) (+ (* (* 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))) (/ (+ (* (neg U) U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2)) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (+ (* (neg U) U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2)) (neg U) (pow (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) 2) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (cos (/ K 2)) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (cos (* K -1/2)) (* (* (sinh l) J) 2)))

simplify195.0ms (1.8%)

Memory
0.9MiB live, 225.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04553669
114743614
249293153
081082988
Stop Event
iter limit
node limit
Counts
122 → 120
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))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* -1 (pow U 2))
(+ (* -1 (pow U 2)) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))
(* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp 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)))
(* (pow J 2) (+ (* -1 (/ (pow U 2) (pow J 2))) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))
(* -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)))))
(+ 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 (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 (* 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 (+ (* 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)))))))
(* 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)))))))
(+ U (* l (- (* (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 (pow U 2)) (* 4 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2)))))
(+ (* -1 (pow U 2)) (* (pow l 2) (+ (* 4/3 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2)))) (* 4 (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))
(+ (* -1 (pow U 2)) (* (pow l 2) (+ (* 4 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* (pow l 2) (+ (* 8/45 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2)))) (* 4/3 (* (pow J 2) (pow (cos (* -1/2 K)) 2))))))))
(* 4 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2))))
(* (pow l 2) (+ (* 4/3 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2)))) (* 4 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))
(* (pow l 2) (+ (* 4 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* (pow l 2) (+ (* 8/45 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2)))) (* 4/3 (* (pow J 2) (pow (cos (* -1/2 K)) 2)))))))
(* (pow l 2) (+ (* 4 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* (pow l 2) (+ (* 4/3 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* (pow l 2) (+ (* 4/315 (* (pow J 2) (* (pow l 2) (pow (cos (* -1/2 K)) 2)))) (* 8/45 (* (pow J 2) (pow (cos (* -1/2 K)) 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
(+ 1/3 (* 1/60 (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))))))))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(- (exp l) (exp (neg l)))
(/ (+ (* -1 (pow U 2)) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (- (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 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)))))
(* 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))))))))
(+ (* -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 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (* J (- (exp l) (/ 1 (exp l)))) U))
(+ (* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* (pow K 2) (- (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))))
(+ (* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* (pow K 2) (- (+ (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* (pow K 2) (- (* 1/48 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/8 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 1/384 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))))
(+ (* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* (pow K 2) (- (+ (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* (pow K 2) (- (+ (* 1/48 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* (pow K 2) (- (* -1/1440 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/8 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* 1/48 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/8 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 1/384 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/46080 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (* 1/384 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U)))))))) (+ (* -1/8 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/4 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 1/384 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))) (* -1/8 (/ (* J (* (+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))))
(+ (* -1 (pow U 2)) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)))
(+ (* -1 (pow U 2)) (+ (* -1/4 (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))))
(+ (* -1 (pow U 2)) (+ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (* (pow K 2) (+ (* -1/4 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* 1/48 (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2))))))))
(+ (* -1 (pow U 2)) (+ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (* (pow K 2) (+ (* -1/4 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* (pow K 2) (+ (* -1/1440 (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* 1/48 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))))))
(* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))
(+ (* -1/4 (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)))
(+ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (* (pow K 2) (+ (* -1/4 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* 1/48 (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))))
(+ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (* (pow K 2) (+ (* -1/4 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* (pow K 2) (+ (* -1/1440 (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* 1/48 (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2))))))))
(* 1/2 K)
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* 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)))))))))
(+ (* 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))))))))))
(cos (* -1/2 K))
(cos (* 1/2 K))
(* -1 U)
(* 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))))
(* (pow U 2) (- (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2)) 1))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
Outputs
U
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(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))
(* 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)))
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(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* -1 (pow U 2))
(*.f64 (neg.f64 U) U)
(+ (* -1 (pow U 2)) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))
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(* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))
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(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
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(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
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(+ 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)))))))))
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(* 2 (* l (cos (* -1/2 K))))
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(* 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)))))))))
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(+ 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)))))))))
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(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* 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 (*.f64 (*.f64 l l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) 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)
(* 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)
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(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
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(+ 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 (- (* (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)))))))
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(*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (*.f64 (/.f64 J U) (/.f64 J U)) #s(literal -1 binary64)) (*.f64 U U))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (neg.f64 U)) J #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 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #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)))

rewrite240.0ms (2.2%)

Memory
9.3MiB live, 257.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056368
097331
1344331
22339331
09025328
Stop Event
iter limit
node limit
iter limit
Counts
26 → 744
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
(+.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))
(/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
(fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))
(neg.f64 U)
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))
(sinh.f64 l)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(cos.f64 (/.f64 K #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))
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J U)) #s(literal 2 binary64))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J U)) #s(literal 2 binary64))) (pow.f64 U #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (fma.f64 (pow.f64 (*.f64 (*.f64 J (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)))) (/.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 (fma.f64 (neg.f64 U) (-.f64 (neg.f64 U) (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (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)))) (/.f64 (pow.f64 (-.f64 (*.f64 (neg.f64 U) U) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 U) (-.f64 (neg.f64 U) (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (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)))) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J U)) #s(literal 2 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 U) (-.f64 (neg.f64 U) (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J U)) #s(literal 2 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (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)))) (/.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (pow.f64 (fma.f64 (neg.f64 U) (-.f64 (neg.f64 U) (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (-.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (neg.f64 U) U) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 U #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) #s(literal 16 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J U)) #s(literal 2 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 U) (-.f64 (neg.f64 U) (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (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)))) (fma.f64 (neg.f64 U) (-.f64 (neg.f64 U) (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) (/.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (/.f64 (-.f64 (*.f64 (neg.f64 U) U) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 U) U) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 (neg.f64 U) U) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 (neg.f64 U) U) (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) (pow.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (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 (pow.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 U U (neg.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.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))) (fma.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)) #s(literal 1/27 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l #s(literal 1/3 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 (*.f64 l l) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 l (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 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))) (/.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))) (-.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))))
(-.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))
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))) (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (exp.f64 (log.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 J (*.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sinh.f64 l) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)) (pow.f64 (*.f64 J #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)))
(*.f64 (pow.f64 J #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)) (pow.f64 J #s(literal 1 binary64)))
(*.f64 (*.f64 J (*.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (sqrt.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))
(*.f64 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(*.f64 (*.f64 J (sinh.f64 l)) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (sinh.f64 l) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64))
(exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))

eval114.0ms (1.1%)

Memory
-4.0MiB live, 185.0MiB allocated
Compiler

Compiled 31 791 to 2 690 computations (91.5% saved)

prune21.0ms (0.2%)

Memory
29.4MiB live, 68.6MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New76711778
Fresh303
Picked415
Done000
Total77412786
Accuracy
100.0%
Counts
786 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.4%
(fma.f64 (*.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) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
69.4%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
83.0%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
61.7%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
88.4%
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
61.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
61.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
41.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 J l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J) (neg.f64 U))))
43.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
46.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
53.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
30.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Compiler

Compiled 703 to 544 computations (22.6% saved)

simplify130.0ms (1.2%)

Memory
-23.1MiB live, 136.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (/.f64 K #s(literal -2 binary64)))
cost-diff0
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
cost-diff0
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #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 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
cost-diff0
(*.f64 (*.f64 J l) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
cost-diff0
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
cost-diff640
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
cost-diff0
(*.f64 #s(literal 2 binary64) J)
cost-diff0
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
cost-diff0
(*.f64 (fma.f64 #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 #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 #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 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054445
081445
1153439
2335439
3749439
41520439
52029439
62782439
74344439
84833439
95386439
107711439
08013423
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 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
(*.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)
#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 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 l l)
l
#s(literal 2 binary64)
J
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
(*.f64 J l)
J
l
(fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))
(*.f64 K K)
K
#s(literal 1/192 binary64)
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(*.f64 J l)
J
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
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
J
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
U
Outputs
(fma.f64 (*.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) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
(fma.f64 (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))) U)
(*.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)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #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 (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)
(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))
#s(literal 1/3 binary64)
(*.f64 l l)
l
#s(literal 2 binary64)
J
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
J
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) J) l U))
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) J) l U)
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) J) l)
(*.f64 J l)
J
l
(fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))
(*.f64 K K)
K
#s(literal 1/192 binary64)
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(*.f64 #s(literal 2 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) #s(approx (+ (* (* (* 2 l) J) (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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l)))
#s(approx (+ (* (* (* 2 l) J) (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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l)
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(*.f64 J l)
J
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
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))) U))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
J
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
U

localize240.0ms (2.2%)

Memory
-8.5MiB live, 433.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(cos.f64 (/.f64 K #s(literal -2 binary64)))
accuracy0.0625
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
accuracy0.1015625
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
accuracy24.443436449329926
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
accuracy0.01171875
(*.f64 (*.f64 J l) #s(literal 2 binary64))
accuracy0.109375
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy24.443436449329926
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
accuracy30.96950244563455
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy4.571988728263831
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
accuracy4.714155002215695
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
accuracy22.28106676872514
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
accuracy24.443436449329926
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
accuracy0.0
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
accuracy0.0
(*.f64 #s(literal 2 binary64) J)
accuracy10.48453066745602
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
accuracy24.443436449329926
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
accuracy0.03125
(fma.f64 (*.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) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
accuracy0.05859375
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
accuracy0.08203125
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
accuracy10.660230371152444
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))
Samples
88.0ms87×1valid
64.0ms143×0valid
28.0ms26×2valid
Compiler

Compiled 747 to 107 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-mult: 52.0ms (35.8% of total)
ival-exp: 26.0ms (17.9% of total)
ival-cos: 21.0ms (14.5% of total)
ival-add: 19.0ms (13.1% of total)
adjust: 10.0ms (6.9% of total)
const: 8.0ms (5.5% of total)
ival-div: 5.0ms (3.4% of total)
ival-sub: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series50.0ms (0.5%)

Memory
14.4MiB live, 90.2MiB allocated
Counts
21 → 103
Calls
Call 1
Inputs
(fma.f64 (*.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) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
(*.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)
#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 #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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))))
(* J (- (exp l) (exp (neg l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 J)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* J (cos (* -1/2 K)))
(* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -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)))))))))
(* 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)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
2
(+ 2 (* 1/3 (pow l 2)))
(- (exp l) (exp (neg l)))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (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)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (+ (* -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))))))))
(* -1/4 (* J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
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)))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(cos (* -1/2 K))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
7.0ms
l
@inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (/ K -2))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* 1/3 (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* 1/3 (* l l)) 2))
5.0ms
J
@0
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (/ K -2))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* 1/3 (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* 1/3 (* l l)) 2))
5.0ms
l
@-inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (/ K -2))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* 1/3 (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* 1/3 (* l l)) 2))
5.0ms
J
@-inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (/ K -2))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* 1/3 (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* 1/3 (* l l)) 2))
5.0ms
J
@inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (/ K -2))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* 1/3 (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* 1/3 (* l l)) 2))

simplify232.0ms (2.2%)

Memory
-7.3MiB live, 225.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03541632
111401604
237051491
082631358
Stop Event
iter limit
node limit
Counts
103 → 101
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))))
(* J (- (exp l) (exp (neg l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 J)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* J (cos (* -1/2 K)))
(* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -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)))))))))
(* 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)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
2
(+ 2 (* 1/3 (pow l 2)))
(- (exp l) (exp (neg l)))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (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)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (+ (* -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))))))))
(* -1/4 (* J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
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)))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(cos (* -1/2 K))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) 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 (* 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)
(+ 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)
(*.f64 #s(literal 2 binary64) J)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) l) 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)))
(* 2 (* J l))
(*.f64 (*.f64 J 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)
(* J (cos (* -1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) 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)
(* 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)
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(*.f64 (fma.f64 l (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ 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)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ 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)
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(*.f64 (fma.f64 l (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(+ 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 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(* 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 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)))))))
(*.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)
(* 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 (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 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
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))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/3 (pow l 3))
(*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(*.f64 (fma.f64 J (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U l)) l)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U 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)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* -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 l)) l)
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(*.f64 (fma.f64 J (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U l)) l)
(* -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 l)) l)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) 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 J (-.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) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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))) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #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 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #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 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/192 binary64) l (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) l)))) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))
(* -1/4 (* J l))
(*.f64 #s(literal -1/4 binary64) (*.f64 J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) l) J)
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(+ (* 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 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/192 binary64) l (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) l)))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))
J
(+ J (* -1/8 (* J (pow K 2))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))
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 #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))
(* 1/192 (* J (* (pow K 4) l)))
(*.f64 (*.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) l) J) #s(literal 1/192 binary64))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(*.f64 (*.f64 (*.f64 J l) (+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) K) K) #s(literal 1/192 binary64))) (pow.f64 K #s(literal 4 binary64)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) l) K) (/.f64 J K) (fma.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 K #s(literal 4 binary64))) #s(literal 1/192 binary64)) (/.f64 U (pow.f64 K #s(literal 4 binary64))))) (pow.f64 K #s(literal 4 binary64)))
(* 1/192 (* J (* (pow K 2) l)))
(*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(*.f64 (*.f64 (*.f64 J l) (+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) K) K) #s(literal 1/192 binary64))) (*.f64 K K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(* 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)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.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 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(*.f64 (fma.f64 J (fma.f64 (*.f64 (*.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #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)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #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 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #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 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U)))
(* -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)))

rewrite228.0ms (2.1%)

Memory
-30.1MiB live, 166.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054369
081355
1278349
21848343
08839333
Stop Event
iter limit
node limit
iter limit
Counts
21 → 311
Calls
Call 1
Inputs
(fma.f64 (*.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) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
(*.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)
#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 #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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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(literal 2 binary64)) (*.f64 U U)) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) (neg.f64 U)) #s(literal -1 binary64)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) #s(literal 6 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64)) #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 (fma.f64 (pow.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/19683 binary64) #s(literal 512 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64) (-.f64 #s(literal 64 binary64) (*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 8/27 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 (-.f64 (*.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 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)) #s(literal 4 binary64))) (*.f64 (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 (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 l l) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64))) (neg.f64 (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 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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)))) (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)))))
(/.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (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)))) (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))
(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))
(fma.f64 l (*.f64 #s(literal 1/3 binary64) l) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))

eval74.0ms (0.7%)

Memory
26.1MiB live, 100.0MiB allocated
Compiler

Compiled 22 451 to 1 933 computations (91.4% saved)

prune172.0ms (1.6%)

Memory
0.6MiB live, 79.3MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New42214436
Fresh516
Picked325
Done011
Total43018448
Accuracy
100.0%
Counts
448 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.4%
(fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
64.2%
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (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)
62.0%
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
72.6%
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
83.0%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
61.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
45.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
45.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
41.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
53.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
53.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
30.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) l) #s(literal 2 binary64))))
30.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
30.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
28.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
57.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
51.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
22.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
Compiler

Compiled 1 247 to 916 computations (26.5% saved)

simplify175.0ms (1.6%)

Memory
16.7MiB live, 93.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 #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 #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 #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 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
cost-diff0
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
cost-diff0
#s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
cost-diff1024
(*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
cost-diff0
(*.f64 J l)
cost-diff0
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
cost-diff0
(*.f64 (fma.f64 #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 #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 #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 #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
069612
098587
1196587
2421587
31023587
42232575
53007575
64693575
76573575
87341575
97994575
08005563
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 #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 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J)
#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 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 l l)
l
#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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(*.f64 J l)
J
l
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))
(*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 J l) U)
(*.f64 J l)
J
l
U
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J l)
J
l
(fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))
(fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))
#s(literal 1/192 binary64)
(*.f64 K K)
K
#s(literal -1/4 binary64)
#s(literal 2 binary64)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (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)
(*.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)
#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 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 l l)
l
#s(literal 2 binary64)
J
#s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
#s(literal 1/384 binary64)
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
Outputs
(fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 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))) U)
(*.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)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #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 (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)
(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))
#s(literal 1/3 binary64)
(*.f64 l l)
l
#s(literal 2 binary64)
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(*.f64 J l)
J
l
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))
#s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 J l) U)
(*.f64 J l)
J
l
U
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64))) (*.f64 J l)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64))) (*.f64 J l))))
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64))) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64))) (*.f64 J l))
(*.f64 J l)
J
l
(fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64)))
(fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))
(fma.f64 (*.f64 #s(literal 1/192 binary64) K) K #s(literal -1/4 binary64))
#s(literal 1/192 binary64)
(*.f64 K K)
K
#s(literal -1/4 binary64)
#s(literal 2 binary64)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (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 (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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))) U)
(*.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)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #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 (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)
(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))
#s(literal 1/3 binary64)
(*.f64 l l)
l
#s(literal 2 binary64)
J
#s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
#s(literal 1/384 binary64)
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U

localize411.0ms (3.8%)

Memory
-5.5MiB live, 275.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
accuracy0.08203125
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
accuracy10.660230371152444
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))
accuracy28.537523058349187
#s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy4.186198426306335
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
accuracy19.97562423510724
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))
accuracy22.28106676872514
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))))
accuracy24.443436449329926
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
accuracy4.723838778011821
(/.f64 (*.f64 J l) U)
accuracy4.769339508462783
(*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
accuracy10.48453066745602
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))
accuracy24.443436449329926
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
accuracy0.0
(*.f64 J l)
accuracy0.0078125
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
accuracy10.48453066745602
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
accuracy24.443436449329926
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
accuracy0.03125
(fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
accuracy0.05859375
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
accuracy0.08203125
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
accuracy10.660230371152444
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))
Samples
139.0ms87×1valid
104.0ms143×0valid
101.0ms26×2valid
Compiler

Compiled 967 to 139 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 285.0ms
adjust: 84.0ms (29.5% of total)
ival-cos: 75.0ms (26.3% of total)
ival-mult: 61.0ms (21.4% of total)
ival-exp: 23.0ms (8.1% of total)
ival-add: 20.0ms (7% of total)
const: 12.0ms (4.2% of total)
ival-div: 5.0ms (1.8% of total)
ival-sub: 2.0ms (0.7% 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)

series86.0ms (0.8%)

Memory
-24.8MiB live, 62.6MiB allocated
Counts
21 → 92
Calls
Call 1
Inputs
(fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.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)
#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 #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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(*.f64 J l)
(*.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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (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(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(/.f64 (*.f64 J l) U)
#s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
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)))
(* J l)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* J (* l (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))))
(/ (* J l) U)
(* 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 (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(* J (* (cos (* -1/2 K)) (- (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)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) (* -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)))))))))
(* 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 (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(+ 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
(+ 2 (* 1/3 (pow l 2)))
(- (exp l) (exp (neg l)))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (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 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (+ (* -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))))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
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
(- (* 1/384 (pow K 2)) 1/8)
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(cos (* -1/2 K))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* 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 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(* 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)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
41.0ms
J
@0
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* 1/3 (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* J l) (* (+ (* (/ (* J l) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (+ (* (* (- (exp l) (exp (neg l))) J) (cos (/ K -2))) U) (+ (* 1/3 (* l l)) 2) (/ (* J l) U) (cos (/ K -2)) (+ (* 1/384 (* K K)) -1/8))
11.0ms
l
@-inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* 1/3 (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* J l) (* (+ (* (/ (* J l) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (+ (* (* (- (exp l) (exp (neg l))) J) (cos (/ K -2))) U) (+ (* 1/3 (* l l)) 2) (/ (* J l) U) (cos (/ K -2)) (+ (* 1/384 (* K K)) -1/8))
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))) (* (+ (* 1/3 (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* J l) (* (+ (* (/ (* J l) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (+ (* (* (- (exp l) (exp (neg l))) J) (cos (/ K -2))) U) (+ (* 1/3 (* l l)) 2) (/ (* J l) U) (cos (/ K -2)) (+ (* 1/384 (* K K)) -1/8))
5.0ms
J
@-inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* 1/3 (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* J l) (* (+ (* (/ (* J l) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (+ (* (* (- (exp l) (exp (neg l))) J) (cos (/ K -2))) U) (+ (* 1/3 (* l l)) 2) (/ (* J l) U) (cos (/ K -2)) (+ (* 1/384 (* K K)) -1/8))
4.0ms
J
@inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* 1/3 (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* J l) 2) U) (* J l) (* (+ (* (/ (* J l) U) 2) 1) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (+ (* (* (- (exp l) (exp (neg l))) J) (cos (/ K -2))) U) (+ (* 1/3 (* l l)) 2) (/ (* J l) U) (cos (/ K -2)) (+ (* 1/384 (* K K)) -1/8))

simplify267.0ms (2.5%)

Memory
8.0MiB live, 197.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03261462
110461428
233951331
378641331
080091211
Stop Event
iter limit
node limit
Counts
92 → 91
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)))
(* J l)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* J (* l (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))))
(/ (* J l) U)
(* 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 (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(* J (* (cos (* -1/2 K)) (- (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)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) (* -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)))))))))
(* 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 (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(+ 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
(+ 2 (* 1/3 (pow l 2)))
(- (exp l) (exp (neg l)))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (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 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (+ (* -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))))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
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
(- (* 1/384 (pow K 2)) 1/8)
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(cos (* -1/2 K))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* 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 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(* 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)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(* -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 (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)
(* J l)
(*.f64 J l)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l U)
(* J (* l (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
(+ 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 l) U)
(/.f64 (*.f64 J l) U)
(* 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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.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 (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) l (/.f64 U J)) 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)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ 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)
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) l (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ 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)
(+ 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 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(* 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 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)))))))
(*.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)
(* 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 (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l 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)
(+ 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 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
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))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/3 (pow l 3))
(*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(*.f64 (fma.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U 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)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* -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 l)) l)
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(*.f64 (fma.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U l)) l)
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) 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 J (-.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) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #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 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l 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 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/192 binary64) l (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) l)))) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
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 #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))
-1/8
#s(literal -1/8 binary64)
(- (* 1/384 (pow K 2)) 1/8)
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(* 1/192 (* J (* (pow K 4) l)))
(*.f64 (*.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) l) J) #s(literal 1/192 binary64))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(*.f64 (*.f64 (*.f64 J l) (+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) K) K) #s(literal 1/192 binary64))) (pow.f64 K #s(literal 4 binary64)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) l) K) (/.f64 J K) (fma.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 K #s(literal 4 binary64))) #s(literal 1/192 binary64)) (/.f64 U (pow.f64 K #s(literal 4 binary64))))) (pow.f64 K #s(literal 4 binary64)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) l) K) (/.f64 J K) (*.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 K #s(literal 4 binary64))) #s(literal 1/192 binary64)))) (pow.f64 K #s(literal 4 binary64)))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* 1/384 (pow K 2))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 K K))) K) K)
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (/.f64 U U) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J l) 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 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(*.f64 (fma.f64 J (fma.f64 K (/.f64 (*.f64 K (*.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) l)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (/.f64 U U) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J (neg.f64 U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (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 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(*.f64 (*.f64 (fma.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) (/.f64 l U) #s(literal 1 binary64)) #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 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J (neg.f64 U)) #s(literal -1 binary64)))

rewrite280.0ms (2.6%)

Memory
20.8MiB live, 306.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069474
098439
1400439
22593439
09181427
Stop Event
iter limit
node limit
iter limit
Counts
21 → 276
Calls
Call 1
Inputs
(fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.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)
#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 #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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(*.f64 J l)
(*.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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))
#s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (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(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(/.f64 (*.f64 J l) U)
#s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
Outputs
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(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 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)) #s(literal 4 binary64))) (*.f64 (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 (-.f64 #s(literal 4 binary64) (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 l l) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64))) (neg.f64 (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 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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)))) (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)))))
(/.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (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)))) (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))
(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))
(fma.f64 l (*.f64 #s(literal 1/3 binary64) l) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (neg.f64 J) #s(literal -1 binary64)) (/.f64 l U))
(*.f64 (/.f64 (neg.f64 l) #s(literal -1 binary64)) (/.f64 J U))
(*.f64 (/.f64 J #s(literal -1 binary64)) (/.f64 (neg.f64 l) U))
(*.f64 (/.f64 l #s(literal -1 binary64)) (/.f64 (neg.f64 J) U))
(*.f64 (/.f64 l U) J)
(*.f64 (pow.f64 U #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 J l) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 U #s(literal -1 binary64)) (*.f64 J l))
(*.f64 (*.f64 J (neg.f64 l)) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 J l) U))
(*.f64 (*.f64 J l) (pow.f64 U #s(literal -1 binary64)))
(*.f64 J (/.f64 l U))
(*.f64 l (/.f64 J U))
(*.f64 l (*.f64 J (pow.f64 U #s(literal -1 binary64))))
(pow.f64 (/.f64 (/.f64 U (*.f64 J l)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 U (*.f64 J l)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 J l) #s(literal 1 binary64))) (neg.f64 U))
(/.f64 (neg.f64 (neg.f64 (*.f64 J (neg.f64 l)))) (neg.f64 (neg.f64 (neg.f64 U))))
(/.f64 (*.f64 (*.f64 J l) #s(literal 1 binary64)) U)
(/.f64 (neg.f64 (*.f64 J (neg.f64 l))) (neg.f64 (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 U (*.f64 J l)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 U (*.f64 J l))))
(/.f64 (*.f64 J (neg.f64 l)) (neg.f64 U))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 U (*.f64 J l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J l)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l)))
(/.f64 (*.f64 J l) U)
(neg.f64 (/.f64 (*.f64 J (neg.f64 l)) U))
(neg.f64 (/.f64 (*.f64 J l) (neg.f64 U)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 U)) (/.f64 (*.f64 J l) (neg.f64 U)))
(exp.f64 (*.f64 (log.f64 (/.f64 U (*.f64 J l))) #s(literal -1 binary64)))
#s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64)) (pow.f64 (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) #s(literal -1/3072 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) #s(literal -1/3072 binary64)))) (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) #s(literal -1/3072 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)))) (-.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 (*.f64 K K) #s(literal -1/3072 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) #s(literal -1/3072 binary64))))))
(/.f64 (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/64 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) #s(literal -1/3072 binary64)))) (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64)))))
(/.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64))) (*.f64 (*.f64 K K) #s(literal -1/3072 binary64)))))
(/.f64 (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64)) (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) #s(literal -1/3072 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 K K) #s(literal -1/3072 binary64)))) (fma.f64 #s(literal 1/56623104 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal -1/512 binary64))))
(fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))
(fma.f64 K (*.f64 #s(literal 1/384 binary64) K) #s(literal -1/8 binary64))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/384 binary64) (*.f64 K K)))) (/.f64 (*.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64))) (-.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/384 binary64) (*.f64 K K)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal 1/8 binary64))))
(+.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal -1/8 binary64))
(+.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 1/384 binary64) (*.f64 K K)))

eval62.0ms (0.6%)

Memory
-25.3MiB live, 130.4MiB allocated
Compiler

Compiled 21 930 to 1 796 computations (91.8% saved)

prune37.0ms (0.3%)

Memory
2.6MiB live, 80.7MiB allocated
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New40414418
Fresh3710
Picked235
Done123
Total41026436
Accuracy
100.0%
Counts
436 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.2%
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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)
68.6%
(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) #s(approx (cos (/ K -2)) (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)
67.2%
(fma.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) #s(approx (cos (/ K -2)) (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)
64.2%
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
88.4%
(fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
64.1%
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
62.0%
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
72.6%
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
83.0%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
62.3%
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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)
64.2%
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
61.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
45.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
45.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
41.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
53.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
30.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) l) #s(literal 2 binary64))))
30.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
30.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
28.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
22.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
51.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
22.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
57.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
60.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
55.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
Compiler

Compiled 2 800 to 1 057 computations (62.3% saved)

regimes159.0ms (1.5%)

Memory
27.6MiB live, 223.7MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.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 (cos (/ K -2)) (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 (*.f64 #s(approx (cos (* K -1/2)) #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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (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 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.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) (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)
(+.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 (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 K #s(literal -1/2 binary64))) (*.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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 J l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J) (neg.f64 U))))
(/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

40.0ms
K
18.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
15.0ms
l
13.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.9%1J
99.9%1l
99.9%1K
99.9%1U
99.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
99.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
99.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
99.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
99.9%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.9%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes175.0ms (1.6%)

Memory
-10.5MiB live, 196.8MiB allocated
Counts
43 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.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 (cos (/ K -2)) (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 (*.f64 #s(approx (cos (* K -1/2)) #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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (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 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.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) (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)
(+.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 (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)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

51.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
29.0ms
K
17.0ms
(/.f64 K #s(literal 2 binary64))
13.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
12.0ms
J
Results
AccuracySegmentsBranch
95.5%1J
99.2%3l
99.2%2K
95.5%1U
95.5%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
95.5%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
95.5%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
95.5%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
99.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
99.2%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes65.0ms (0.6%)

Memory
8.9MiB live, 48.2MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.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 (cos (/ K -2)) (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 (*.f64 #s(approx (cos (* K -1/2)) #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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (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 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.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) (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)
(+.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)
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 (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

3 calls:

40.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
K
Results
AccuracySegmentsBranch
98.8%2K
98.8%2(/.f64 K #s(literal 2 binary64))
99.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes179.0ms (1.7%)

Memory
-8.1MiB live, 186.7MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.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 (cos (/ K -2)) (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 (*.f64 #s(approx (cos (* K -1/2)) #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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (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 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.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) (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
(fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

49.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
15.0ms
K
14.0ms
J
13.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
11.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
88.4%1J
90.3%2U
88.4%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
88.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
92.3%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
90.8%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
98.4%5l
96.2%2K
96.2%2(/.f64 K #s(literal 2 binary64))
96.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes22.0ms (0.2%)

Memory
-7.4MiB live, 30.2MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.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 (cos (/ K -2)) (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 (*.f64 #s(approx (cos (* K -1/2)) #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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (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 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
Outputs
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

1 calls:

20.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
96.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes75.0ms (0.7%)

Memory
-14.6MiB live, 68.5MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.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 (cos (/ K -2)) (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 (*.f64 #s(approx (cos (* K -1/2)) #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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (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 (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 (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

3 calls:

34.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
28.0ms
K
10.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.4%2K
94.4%2(/.f64 K #s(literal 2 binary64))
94.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes158.0ms (1.5%)

Memory
32.9MiB live, 186.0MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.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 (cos (/ K -2)) (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 (*.f64 #s(approx (cos (* K -1/2)) #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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (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 (* K -1/2)) #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 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

38.0ms
J
26.0ms
U
25.0ms
(/.f64 K #s(literal 2 binary64))
16.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
9.0ms
l
Results
AccuracySegmentsBranch
87.9%3J
90.1%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
90.1%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
83.0%1U
90.1%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
91.2%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
90.1%3l
83.0%1K
83.0%1(/.f64 K #s(literal 2 binary64))
88.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes151.0ms (1.4%)

Memory
-33.0MiB live, 98.3MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.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 (cos (/ K -2)) (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 (*.f64 #s(approx (cos (* K -1/2)) #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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
Outputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #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 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

5 calls:

48.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
46.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
40.0ms
l
8.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
7.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
90.1%3l
90.1%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
90.1%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
90.1%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
90.1%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Compiler

Compiled 43 to 48 computations (-11.6% saved)

regimes51.0ms (0.5%)

Memory
30.8MiB live, 69.5MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.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 (cos (/ K -2)) (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 (*.f64 #s(approx (cos (* K -1/2)) #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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) l) #s(literal 2 binary64))))
Outputs
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

6 calls:

13.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
8.0ms
l
8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
7.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
87.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
83.0%1l
83.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
83.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
83.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
83.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Compiler

Compiled 47 to 55 computations (-17% saved)

regimes79.0ms (0.7%)

Memory
2.1MiB live, 159.3MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.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 (cos (/ K -2)) (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)
Outputs
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 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) #s(approx (cos (/ K -2)) (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)
Calls

10 calls:

10.0ms
l
9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
9.0ms
(/.f64 K #s(literal 2 binary64))
8.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
7.0ms
K
Results
AccuracySegmentsBranch
77.2%2K
72.6%1U
77.2%2(/.f64 K #s(literal 2 binary64))
79.2%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
79.2%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
79.2%3l
79.2%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
79.2%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
72.6%1J
81.8%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes11.0ms (0.1%)

Memory
-21.0MiB live, 16.5MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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)
Outputs
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
(fma.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) #s(approx (cos (/ K -2)) (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)
Calls

1 calls:

10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
80.7%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes44.0ms (0.4%)

Memory
-10.8MiB live, 69.7MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) #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) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (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))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 #s(approx (* (- (exp l) (exp (neg l))) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K -2)) (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 (*.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) #s(approx (cos (/ K -2)) (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 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K -2)) (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)
(+.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 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)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 l #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) l))) J) #s(approx (cos (/ K -2)) (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)
Outputs
(fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
Calls

6 calls:

10.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
8.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
7.0ms
l
7.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
5.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
74.4%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
74.4%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
72.6%1l
72.6%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
74.4%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
77.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 47 to 55 computations (-17% saved)

regimes15.0ms (0.1%)

Memory
28.6MiB live, 28.6MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U)
Calls

3 calls:

5.0ms
K
5.0ms
(/.f64 K #s(literal 2 binary64))
4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
72.6%1K
72.6%1(/.f64 K #s(literal 2 binary64))
76.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes42.0ms (0.4%)

Memory
-4.3MiB live, 72.2MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
Calls

10 calls:

6.0ms
U
6.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
4.0ms
J
4.0ms
(/.f64 K #s(literal 2 binary64))
4.0ms
K
Results
AccuracySegmentsBranch
60.6%1J
60.6%1l
60.6%1U
60.6%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
60.6%1K
60.6%1(/.f64 K #s(literal 2 binary64))
60.6%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
60.6%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
60.6%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
64.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes4.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
Calls

1 calls:

3.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
64.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes36.0ms (0.3%)

Memory
-21.3MiB live, 59.8MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
Calls

10 calls:

6.0ms
J
6.0ms
U
3.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
l
3.0ms
K
Results
AccuracySegmentsBranch
55.5%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
59.9%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
55.5%1J
55.5%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
55.5%1K
55.5%1(/.f64 K #s(literal 2 binary64))
59.2%3l
59.2%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
55.5%1U
59.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes30.0ms (0.3%)

Memory
17.1MiB live, 55.6MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
Calls

10 calls:

5.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
3.0ms
K
3.0ms
J
3.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
U
Results
AccuracySegmentsBranch
53.0%1K
56.7%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
53.0%1(/.f64 K #s(literal 2 binary64))
53.0%1U
56.7%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
54.8%2J
57.8%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
57.8%3l
57.8%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
56.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes15.0ms (0.1%)

Memory
-13.1MiB live, 25.7MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
Calls

6 calls:

4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms
l
2.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
2.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
55.1%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
55.2%2l
55.9%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
55.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
55.0%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
55.0%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Compiler

Compiled 47 to 55 computations (-17% saved)

regimes13.0ms (0.1%)

Memory
-7.0MiB live, 31.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
Calls

7 calls:

4.0ms
J
2.0ms
l
2.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
53.0%1J
53.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
53.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
53.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
53.0%1l
53.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
53.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Compiler

Compiled 48 to 59 computations (-22.9% saved)

regimes12.0ms (0.1%)

Memory
31.2MiB live, 31.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

10 calls:

1.0ms
l
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms
U
1.0ms
J
Results
AccuracySegmentsBranch
22.1%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
22.1%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
22.1%1J
22.1%1K
22.1%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
22.1%1(/.f64 K #s(literal 2 binary64))
22.1%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
22.1%1U
22.1%1l
22.1%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9970461499488471
0.997803233442573
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9368373547828311
0.9467313807368519
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9368373547828311
0.9467313807368519
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch7.0ms (0.1%)

Memory
-42.5MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9368373547828311
0.9467313807368519
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9368373547828311
0.9467313807368519
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.587407608721361e+265
+inf
0.0ms
-inf
-3.5608831888205274e-60
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.587407608721361e+265
+inf
0.0ms
-inf
-3.5608831888205274e-60
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.4189370194900089
-0.4135910274825661
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9970461499488471
0.997803233442573
0.0ms
-0.4189370194900089
-0.4135910274825661
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9970461499488471
0.997803233442573
0.0ms
-0.4189370194900089
-0.4135910274825661
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
-0.4189370194900089
-0.4135910274825661
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.4189370194900089
-0.4135910274825661
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.4189370194900089
-0.4135910274825661
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.4189370194900089
-0.4135910274825661
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.4189370194900089
-0.4135910274825661
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-4.331795645546951e+305
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.587407608721361e+265
+inf
Compiler

Compiled 18 to 21 computations (-16.7% saved)

simplify101.0ms (0.9%)

Memory
29.2MiB live, 67.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01891356
12381356
23121356
34381356
47581298
514751298
635511298
770791298
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2246170314151035/2251799813685248 binary64)) (+.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 (cos (* K -1/2)) #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 2116691824864133/2251799813685248 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 (* K -1/2)) #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 2116691824864133/2251799813685248 binary64)) (fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #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 2116691824864133/2251799813685248 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #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 2116691824864133/2251799813685248 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 (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -inf.0 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 100000000000000003071603269111014971471508642847250073203719093632845102290734406131617241518267700770571769927225306004888484302202258708981207125345588886413817469658847334809978790776999353375325137186550055668797052865128496484823152800700833072414104710501367808 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -inf.0 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 100000000000000003071603269111014971471508642847250073203719093632845102290734406131617241518267700770571769927225306004888484302202258708981207125345588886413817469658847334809978790776999353375325137186550055668797052865128496484823152800700833072414104710501367808 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #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 -7475975381435023/18014398509481984 binary64)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #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 -7475975381435023/18014398509481984 binary64)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2246170314151035/2251799813685248 binary64)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 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) #s(approx (cos (/ K -2)) (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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7475975381435023/18014398509481984 binary64)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2246170314151035/2251799813685248 binary64)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U) (fma.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) #s(approx (cos (/ K -2)) (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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7475975381435023/18014398509481984 binary64)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7475975381435023/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7475975381435023/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7475975381435023/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7475975381435023/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -inf.0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 100000000000000003071603269111014971471508642847250073203719093632845102290734406131617241518267700770571769927225306004888484302202258708981207125345588886413817469658847334809978790776999353375325137186550055668797052865128496484823152800700833072414104710501367808 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2246170314151035/2251799813685248 binary64)) (+.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 (cos (* K -1/2)) #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 2116691824864133/2251799813685248 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 (* K -1/2)) #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 2116691824864133/2251799813685248 binary64)) (fma.f64 (*.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) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #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 2116691824864133/2251799813685248 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #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 2116691824864133/2251799813685248 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 (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -inf.0 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 100000000000000003071603269111014971471508642847250073203719093632845102290734406131617241518267700770571769927225306004888484302202258708981207125345588886413817469658847334809978790776999353375325137186550055668797052865128496484823152800700833072414104710501367808 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -inf.0 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 100000000000000003071603269111014971471508642847250073203719093632845102290734406131617241518267700770571769927225306004888484302202258708981207125345588886413817469658847334809978790776999353375325137186550055668797052865128496484823152800700833072414104710501367808 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)))
(if (or (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -inf.0 binary64)) (not (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 100000000000000003071603269111014971471508642847250073203719093632845102290734406131617241518267700770571769927225306004888484302202258708981207125345588886413817469658847334809978790776999353375325137186550055668797052865128496484823152800700833072414104710501367808 binary64)))) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #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 (*.f64 #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 -7475975381435023/18014398509481984 binary64)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #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 -7475975381435023/18014398509481984 binary64)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2246170314151035/2251799813685248 binary64)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 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) #s(approx (cos (/ K -2)) (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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7475975381435023/18014398509481984 binary64)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2246170314151035/2251799813685248 binary64)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U) (fma.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) #s(approx (cos (/ K -2)) (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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7475975381435023/18014398509481984 binary64)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U) (fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7475975381435023/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)) (fma.f64 (*.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) #s(approx (cos (/ K -2)) #s(literal 1 binary64)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7475975381435023/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7475975381435023/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 (/.f64 l U) J) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7475975381435023/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (*.f64 l (/.f64 J U)) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -inf.0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) 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 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 100000000000000003071603269111014971471508642847250073203719093632845102290734406131617241518267700770571769927225306004888484302202258708981207125345588886413817469658847334809978790776999353375325137186550055668797052865128496484823152800700833072414104710501367808 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))

soundness2.0s (19%)

Memory
-7.8MiB live, 1 524.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04553669
114743614
249293153
081082988
03261462
110461428
233951331
378641331
080091211
0145742
1453742
21464632
33603632
08258580
069474
098439
1400439
22593439
09181427
054369
081355
1278349
21848343
08839333
01446
02338
17238
243338
0450037
056368
097331
1344331
22339331
09025328
03541632
111401604
237051491
082631358
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 3 112 to 1 528 computations (50.9% saved)

preprocess113.0ms (1.1%)

Memory
24.8MiB live, 218.1MiB allocated
Remove

(abs K)

Compiler

Compiled 2 790 to 460 computations (83.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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