Maksimov and Kolovsky, Equation (4)

Time bar (total: 9.4s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory
1.9MiB live, 1.9MiB 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)

sample1.9s (20.2%)

Memory
51.1MiB live, 2 608.4MiB allocated
Samples
827.0ms6 382×0valid
716.0ms1 874×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-exp: 443.0ms (35.6% of total)
ival-cos: 330.0ms (26.5% of total)
ival-mult: 180.0ms (14.5% of total)
ival-sub: 78.0ms (6.3% of total)
ival-add: 65.0ms (5.2% of total)
ival-div: 53.0ms (4.3% of total)
adjust: 43.0ms (3.5% of total)
ival-neg: 38.0ms (3.1% of total)
ival-true: 7.0ms (0.6% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain319.0ms (3.4%)

Memory
-5.0MiB live, 233.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1280-0-(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
00-0-K
00-0-(neg.f64 l)
00-0-(/.f64 K #s(literal 2 binary64))
00-0-(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
0127(3.1746213479634883e-66 -2.456576107054876e-287 6.505898354210237e+205 7.576522291800312e+269)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
00-0-J
00-0-U
00-0-(exp.f64 (neg.f64 l))
00-0-#s(literal 2 binary64)
00-0-(exp.f64 l)
00-0-l
00-0-(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1270
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation330
Confusion
Predicted +Predicted -
+320
-108116
Precision
0.22857142857142856
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3200
-1080116
Precision?
0.22857142857142856
Recall?
1.0
Freqs
test
numberfreq
0116
1120
220
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
127.0ms174×1valid
40.0ms68×2valid
30.0ms270×0valid
Compiler

Compiled 202 to 60 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-exp: 51.0ms (34.8% of total)
ival-sub: 30.0ms (20.5% of total)
adjust: 27.0ms (18.4% of total)
ival-cos: 16.0ms (10.9% of total)
ival-mult: 13.0ms (8.9% of total)
ival-div: 4.0ms (2.7% of total)
ival-add: 4.0ms (2.7% of total)
ival-neg: 2.0ms (1.4% of total)
ival-true: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess98.0ms (1%)

Memory
-8.1MiB live, 67.2MiB 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)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.2%
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify68.0ms (0.7%)

Memory
5.1MiB live, 44.8MiB 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

localize79.0ms (0.8%)

Memory
27.1MiB live, 64.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy0.0078125
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy0.05859375
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy29.396709589945537
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
28.0ms87×1valid
23.0ms135×0valid
17.0ms34×2valid
Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-exp: 23.0ms (49.8% of total)
ival-cos: 8.0ms (17.3% of total)
ival-mult: 5.0ms (10.8% of total)
adjust: 4.0ms (8.7% of total)
ival-sub: 2.0ms (4.3% of total)
ival-add: 2.0ms (4.3% of total)
ival-div: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-11.6MiB live, 26.3MiB 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
3.0ms
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)))
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
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
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
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)))

simplify172.0ms (1.8%)

Memory
12.3MiB live, 211.7MiB 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)

rewrite161.0ms (1.7%)

Memory
-18.4MiB live, 192.4MiB 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))

eval34.0ms (0.4%)

Memory
5.7MiB live, 79.9MiB allocated
Compiler

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

prune13.0ms (0.1%)

Memory
-5.6MiB live, 31.5MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2869295
Fresh000
Picked101
Done000
Total2879296
Accuracy
100.0%
Counts
296 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.8%
(fma.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 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))) (neg.f64 (/.f64 (*.f64 U 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)))))
100.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
25.2%
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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))) (neg.f64 (/.f64 (*.f64 U 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)))))
94.3%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.5%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
87.5%
(+.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)
75.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
63.6%
#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))
82.4%
#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 554 to 368 computations (33.6% saved)

simplify108.0ms (1.2%)

Memory
6.2MiB live, 164.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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
(*.f64 J J)
cost-diff0
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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))) (neg.f64 (/.f64 (*.f64 U 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)))))
cost-diff256
(neg.f64 (/.f64 (*.f64 U 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))))
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
059571
0104571
1191571
2394569
31203551
44707551
08246546
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
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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))) (neg.f64 (/.f64 (*.f64 U 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 J J)
J
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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)))
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.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)
(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 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(neg.f64 U)
U
(neg.f64 (/.f64 (*.f64 U 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 (*.f64 U 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 U 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
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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))) (neg.f64 (/.f64 (*.f64 U 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)))))
(fma.f64 (/.f64 (*.f64 (neg.f64 J) J) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)))
(*.f64 J J)
J
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 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)))
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))
(*.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)
(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))
(*.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))
(neg.f64 U)
U
(neg.f64 (/.f64 (*.f64 U 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 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(/.f64 (*.f64 U 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 (*.f64 U 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)))
(*.f64 U U)

localize317.0ms (3.4%)

Memory
-4.6MiB live, 481.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0703125
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy3.2687930979103483
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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)))
accuracy7.1832432074317
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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))) (neg.f64 (/.f64 (*.f64 U 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)))))
accuracy11.750791939053585
(/.f64 (*.f64 U 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)))
accuracy0.0078125
(+.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)
accuracy0.0078125
(*.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)
accuracy0.05859375
(*.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))))
accuracy0.7245972116974715
#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))
accuracy0.0078125
(+.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)
accuracy0.0078125
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy0.05859375
(*.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))))
accuracy0.7256998772399106
#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)
accuracy0.0
(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)
accuracy0.7257714636152803
#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))
accuracy0.0
(sinh.f64 l)
accuracy0.0
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy0.015625
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy0.0703125
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
Samples
97.0ms125×1exit
88.0ms87×1valid
52.0ms34×2valid
4.0ms10×0valid
Compiler

Compiled 1 040 to 118 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-mult: 54.0ms (27.5% of total)
adjust: 46.0ms (23.4% of total)
ival-cos: 28.0ms (14.3% of total)
ival-exp: 23.0ms (11.7% of total)
ival-add: 14.0ms (7.1% of total)
const: 13.0ms (6.6% of total)
ival-div: 6.0ms (3.1% of total)
ival-pow2: 4.0ms (2% of total)
ival-neg: 4.0ms (2% of total)
ival-sub: 2.0ms (1% of total)
ival-sinh: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series175.0ms (1.9%)

Memory
1.8MiB live, 205.1MiB allocated
Counts
26 → 188
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))
(neg.f64 (/.f64 (*.f64 U 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))))
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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))) (neg.f64 (/.f64 (*.f64 U 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 J J)
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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)))
(sinh.f64 l)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(/.f64 (*.f64 U 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)))
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))))
(- (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 U))
(- (* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))) (* -1 U))
(- (* J (+ (* J (+ (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2)) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 U))
(- (* J (+ (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 U))
(- (* J (+ (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (+ (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))) (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2)))) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 U))
(pow J 2)
(* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))
(+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))) (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)))
(+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (* J (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 3))) (* -1 (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))))))
(+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))) (* J (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 5) (pow (- (exp l) (/ 1 (exp l))) 5))) (pow U 4))) (* -1 (/ (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow U 3))))))))
(* -1 U)
(+ (* -1 U) (* -1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(+ (* -1 U) (* J (- (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(+ (* -1 U) (* J (- (* J (- (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* -1 (/ (pow U 2) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(/ (- (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J)
(/ (- (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J)
(/ (- (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (* -1 (/ (pow U 5) (* (pow J 3) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))))) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J)
(* J (+ (* -1 (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (+ (/ U J) (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))))))
(* J (+ (* -1 (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* -1 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (+ (/ U J) (+ (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))))))))
(/ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) J)
(/ (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)) J)
(/ (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (+ (/ U J) (/ (pow U 2) (* (pow J 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))) J)
(/ (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (+ (/ U J) (+ (/ (pow U 2) (* (pow J 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))))) J)
(/ (pow U 2) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
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(- (+ (* (pow K 2) (+ (* -1/8 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (+ (* 4 (- (* -1/16 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (* (pow K 2) (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (+ (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (* 4 (- (* 1/192 (/ (* (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))) (- (* -1/16 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 1/1536 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (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))) (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(- (+ (* (pow K 2) (+ (* -1/8 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (+ (* 4 (- (* -1/16 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (* (pow K 2) (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (+ (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (+ (* 4 (- (* 1/192 (/ (* (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))) (- (* -1/16 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 1/1536 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (* (pow K 2) (+ (* -1/46080 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (+ (* 1/3072 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (+ (* 1/8 (/ (* J (* (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))) (- (exp l) (/ 1 (exp l))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 4 (- (* -1/5760 (/ (* (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))) (- (* 1/192 (/ (* (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))) (- (* -1/16 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 1/1536 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/184320 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (* 1/384 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/16 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U)))))))))))))))))) (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))
(+ (* 4 (* (pow K 2) (- (* -1/16 (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* J (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* (pow K 2) (+ (* 4 (* (pow K 2) (- (* 1/192 (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/8 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/16 (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* J (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 1/1536 (/ (* J (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))) (* 4 (- (* -1/16 (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* J (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))) (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* (pow K 2) (+ (* 4 (- (* -1/16 (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* J (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (* (pow K 2) (+ (* 4 (* (pow K 2) (- (* -1/5760 (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/8 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* 1/192 (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/8 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/16 (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* J (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 1/1536 (/ (* J (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/184320 (/ (* J (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (* 1/384 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/16 (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* J (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U)))))))) (* 4 (- (* 1/192 (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (+ (* -1/8 (/ (* J (* (- (exp l) (/ 1 (exp l))) (- (* -1/16 (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/32 (/ (* J (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* 1/1536 (/ (* J (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))))))) (/ (pow (- (exp l) (/ 1 (exp l))) 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(* 1/2 K)
(/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))
(+ (* 1/8 (/ (* J (* (pow K 2) (* (pow U 2) (- (exp l) (/ 1 (exp l)))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (* -1/8 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* (pow K 2) (- (* (pow K 2) (- (* -1 (* (pow K 2) (+ (* -1/46080 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (+ (* 1/3072 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/8 (/ (* J (* (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))) (- (exp l) (/ 1 (exp l))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))))))) (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (* -1/8 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(cos (* -1/2 K))
(cos (* 1/2 K))
(* (pow U 2) (- (* -1 (/ U (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(* (pow U 2) (- (* U (- (* -1 (/ U (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(* (pow U 2) (- (* U (- (* U (- (* -1 (/ U (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))) (/ 1 (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(+ (/ U (pow J 2)) (/ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) J))
(+ (* U (+ (/ 1 (pow J 2)) (/ U (* (pow J 3) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))) (/ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) J))
(+ (* U (+ (* U (+ (/ 1 (* (pow J 3) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (/ U (* (pow J 4) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (pow J 2)))) (/ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) J))
(* (pow U 2) (+ (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (/ U (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))))
(* (pow U 2) (+ (* U (+ (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (/ U (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(* (pow U 2) (+ (* U (+ (* U (+ (/ 1 (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (/ U (* (pow J 4) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4)))))) (/ 1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2)))))
(* U (+ 1 (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (+ (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2)) (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))))))
(* U (+ 1 (+ (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))))))
(* U (+ 1 (+ (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))) (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (+ (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2)) (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))))))))
(/ (+ (* -1 (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U))) U)
(/ (+ (* -1 (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 2))))) U)
(/ (+ (* -1 (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) (+ (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 2))) (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 5) (pow (- (exp l) (/ 1 (exp l))) 5))) (pow U 3)))))) U)
(* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1))
(* U (- (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U))))
(* U (- (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))) (+ 1 (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (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)))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) U)) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
(* -1 (/ (+ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) U))) U)) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (+ (* (pow J 2) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 5) (pow (- (exp l) (/ 1 (exp l))) 5))) U)) U))) U)) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
(* -1 (* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U))))
(* -1 (* U (+ 1 (* -1 (/ (- (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)))))
(* -1 (* U (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U) (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)))))
Calls

12 calls:

TimeVariablePointExpression
38.0ms
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) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (+ (* (* J J) (/ (pow (* (cos (* K -1/2)) (* (sinh l) 2)) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))) (* J J) (/ (pow (* (cos (* K -1/2)) (* (sinh l) 2)) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* (+ (* (* l l) 1/3) 2) l) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))
35.0ms
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) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (+ (* (* J J) (/ (pow (* (cos (* K -1/2)) (* (sinh l) 2)) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))) (* J J) (/ (pow (* (cos (* K -1/2)) (* (sinh l) 2)) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* (+ (* (* l l) 1/3) 2) l) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))
24.0ms
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) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (+ (* (* J J) (/ (pow (* (cos (* K -1/2)) (* (sinh l) 2)) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))) (* J J) (/ (pow (* (cos (* K -1/2)) (* (sinh l) 2)) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* (+ (* (* l l) 1/3) 2) l) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))
16.0ms
U
@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) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (+ (* (* J J) (/ (pow (* (cos (* K -1/2)) (* (sinh l) 2)) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))) (* J J) (/ (pow (* (cos (* K -1/2)) (* (sinh l) 2)) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* (+ (* (* l l) 1/3) 2) l) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))
10.0ms
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) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (+ (* (* J J) (/ (pow (* (cos (* K -1/2)) (* (sinh l) 2)) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U)))) (neg (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))) (* J J) (/ (pow (* (cos (* K -1/2)) (* (sinh l) 2)) 2) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* (+ (* (* l l) 1/3) 2) l) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (/ (* U U) (+ (* (cos (* K -1/2)) (* (* (sinh l) J) 2)) (neg U))))

simplify247.0ms (2.6%)

Memory
12.2MiB live, 234.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09848747
132778391
092838108
Stop Event
iter limit
node limit
Counts
188 → 186
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))))
(- (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 U))
(- (* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))) (* -1 U))
(- (* J (+ (* J (+ (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2)) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 U))
(- (* J (+ (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 U))
(- (* J (+ (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (+ (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))) (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2)))) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 U))
(pow J 2)
(* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))
(+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))) (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)))
(+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (* J (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 3))) (* -1 (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))))))
(+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (* J (+ (* -1 (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))) (* J (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 5) (pow (- (exp l) (/ 1 (exp l))) 5))) (pow U 4))) (* -1 (/ (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4)) (pow U 3))))))))
(* -1 U)
(+ (* -1 U) (* -1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(+ (* -1 U) (* J (- (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(+ (* -1 U) (* J (- (* J (- (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* -1 (/ (pow U 2) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(/ (- (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J)
(/ (- (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J)
(/ (- (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (* -1 (/ (pow U 5) (* (pow J 3) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))))) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J)
(* J (+ (* -1 (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (+ (/ U J) (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))))))
(* J (+ (* -1 (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* -1 (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (+ (/ U J) (+ (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (/ (pow U 4) (* (pow J 4) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))))))))
(/ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) J)
(/ (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)) J)
(/ (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (+ (/ U J) (/ (pow U 2) (* (pow J 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))) J)
(/ (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (+ (/ U J) (+ (/ (pow U 2) (* (pow J 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (/ (pow U 3) (* (pow J 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))))) J)
(/ (pow U 2) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(/ (+ (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) J)
(/ (- (+ (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) J)
(/ (- (+ (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (/ (pow U 5) (* (pow J 3) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))) (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))))) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (/ (- (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))) J))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow U 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (pow U 4) (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) J)) (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))) J))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (/ (pow U 4) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (/ (pow U 5) (* J (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))) J)) (* -1 (/ (pow U 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) J)) (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))) J))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ (+ U (+ (* -1 (/ (pow U 3) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (/ (pow U 3) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ (+ U (+ (* -1 (/ (+ (* -1 (/ (pow U 4) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (/ (pow U 4) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (pow J 3))) (+ (* -1 (/ (pow U 3) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (/ (pow U 3) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))))) J)))))
(* -1 (/ (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J))) J))
(* -1 (/ (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ (+ U (/ (pow U 2) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))) J))) J))
(* -1 (/ (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ (+ U (* -1 (/ (+ (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) J))) J))) J))
(* -1 (/ (+ (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) J))
(* -1 (/ (+ (* -1 (/ (- (/ (pow U 4) (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (pow U 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) J)) (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))) J))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow U 5) (* J (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))) (/ (pow U 4) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) J)) (* -1 (/ (pow U 3) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) J)) (* -1 (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))) 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))))))))
(- (* 2 (* J (* l (cos (* -1/2 K))))) (* -1 U))
(- (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* 4 (/ (* (pow J 2) (* l (pow (cos (* -1/2 K)) 2))) U)))) (* -1 U))
(- (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* l (+ (* 4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* l (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 8 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))))))))) (* -1 U))
(- (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* l (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* 4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)))))) (* -1 U))
(- (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* l (+ (* -4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (+ (* 4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) (* l (+ (* -8 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 8 (/ (* (pow J 3) (pow (cos (* -1/2 K)) 3)) (pow U 2))))))))))) (* -1 U))
(* -4 (/ (* (pow l 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow l 2) (+ (* -8 (/ (* J (* l (pow (cos (* -1/2 K)) 3))) (pow U 2))) (* -4 (/ (pow (cos (* -1/2 K)) 2) U))))
(* (pow l 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 2) U)) (* l (+ (* -8 (/ (* J (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* 4 (* l (- (* -1/3 (/ (pow (cos (* -1/2 K)) 2) U)) (* 4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3))))))))))
(* (pow l 2) (+ (* -4 (/ (pow (cos (* -1/2 K)) 2) U)) (* l (+ (* -8 (/ (* J (pow (cos (* -1/2 K)) 3)) (pow U 2))) (* l (+ (* -4 (* l (+ (* -2 (/ (* J (* (cos (* -1/2 K)) (- (* -1/3 (/ (pow (cos (* -1/2 K)) 2) U)) (* 4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3)))))) U)) (* 1/3 (/ (* J (pow (cos (* -1/2 K)) 3)) (pow U 2)))))) (* 4 (- (* -1/3 (/ (pow (cos (* -1/2 K)) 2) U)) (* 4 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 4)) (pow U 3)))))))))))
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))))))))
(+ (* -2 (* J (* l (cos (* -1/2 K))))) (* -1 U))
(+ (* -1 U) (* l (- (* -4 (/ (* (pow J 2) (* l (pow (cos (* -1/2 K)) 2))) U)) (* 2 (* J (cos (* -1/2 K)))))))
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(* U (+ 1 (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (+ (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2)) (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))))))
(* U (+ 1 (+ (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))))))
(* U (+ 1 (+ (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (+ (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))) (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (+ (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2)) (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))))))))
(/ (+ (* -1 (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U))) U)
(/ (+ (* -1 (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 2))))) U)
(/ (+ (* -1 (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) (+ (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 2))) (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 5) (pow (- (exp l) (/ 1 (exp l))) 5))) (pow U 3)))))) U)
(* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1))
(* U (- (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U))))
(* U (- (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))) (+ 1 (+ (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (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)))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) U)) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
(* -1 (/ (+ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) U))) U)) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (+ (* (pow J 2) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 5) (pow (- (exp l) (/ 1 (exp l))) 5))) U)) U))) U)) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
(* -1 (* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U))))
(* -1 (* U (+ 1 (* -1 (/ (- (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)))))
(* -1 (* U (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U) (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)))))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l U)
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(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
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(pow J 2)
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(+ (* -1 (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U)) (* J (+ (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 3))) (* -1 (/ (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 2))))))
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(* -1 U)
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(+ (* -1 U) (* J (- (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
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(+ (* -1 U) (* J (- (* J (- (* -1 (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))) (/ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))))
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(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
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(/ (- (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J)
(/.f64 (neg.f64 (fma.f64 (/.f64 U (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 U (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 (/.f64 (pow.f64 U #s(literal 3 binary64)) J) (*.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)))))) J)
(/ (- (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J)
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(/ (- (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (* -1 (/ (pow U 5) (* (pow J 3) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))))) (/ (pow U 2) (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) J)
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 U #s(literal 5 binary64)) (pow.f64 J #s(literal 3 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 J J)) (*.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))))) (/.f64 (/.f64 (pow.f64 U #s(literal 3 binary64)) J) (*.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 (*.f64 U U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) J)
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(* 1/2 K)
(*.f64 #s(literal 1/2 binary64) K)
(/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))
(/.f64 (*.f64 U U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J (neg.f64 U)))
(+ (* 1/8 (/ (* J (* (pow K 2) (* (pow U 2) (- (exp l) (/ 1 (exp l)))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
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(cos (* -1/2 K))
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(cos (* 1/2 K))
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(* -1 (* U (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (+ (* -1 (/ (+ (* -1 (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) U)) (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)) 1)))
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(* -1 (/ (+ (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (/ (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) U))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) U))) U)) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
(/.f64 (fma.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 (neg.f64 (fma.f64 (*.f64 J J) (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) U) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) J) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64))))) (neg.f64 U))) (neg.f64 U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* J (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))) (* -1 (/ (+ (* (pow J 2) (* (pow (cos (* -1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))) (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 5) (pow (- (exp l) (/ 1 (exp l))) 5))) U)) U))) U)) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))
(/.f64 (fma.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 (neg.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) J) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 J #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) U) (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (*.f64 J J)) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 4 binary64)))) U))) (neg.f64 U))) (neg.f64 U))
(* -1 (* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U))))
(*.f64 (fma.f64 (neg.f64 J) (/.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U) #s(literal -1 binary64)) U)
(* -1 (* U (+ 1 (* -1 (/ (- (* -1 (/ (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 J (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64)) U)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) (neg.f64 U))) (neg.f64 U))
(* -1 (* U (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow J 3) (* (pow (cos (* -1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U) (* -1 (* (pow J 2) (* (pow (cos (* -1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) U)) (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))) U)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 J #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) U) (*.f64 (*.f64 (*.f64 J J) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64)))) (neg.f64 U)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)) (neg.f64 U))

rewrite348.0ms (3.7%)

Memory
-9.6MiB live, 402.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059415
0104362
1369362
22587362
08510359
Stop Event
iter limit
node limit
iter limit
Counts
26 → 934
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))
(neg.f64 (/.f64 (*.f64 U 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))))
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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))) (neg.f64 (/.f64 (*.f64 U 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 J J)
(/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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)))
(sinh.f64 l)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(/.f64 (*.f64 U 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)))
Outputs
(*.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)) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #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 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64))) #s(literal -3 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 3 binary64)))) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64))) #s(literal -3 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (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))
(pow.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 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (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)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 U) U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64))) #s(literal -3 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 (neg.f64 U) U))) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal 2 binary64)))))))
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(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)) (*.f64 U U))
(*.f64 (*.f64 (neg.f64 U) U) (pow.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(*.f64 (*.f64 U U) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 U (/.f64 U (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(pow.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64)))))
(/.f64 (*.f64 (neg.f64 U) U) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))))
(/.f64 (*.f64 (neg.f64 U) U) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64))))
(/.f64 (*.f64 U U) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))))
(/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))
(neg.f64 (/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))) (/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (pow.f64 U #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval156.0ms (1.7%)

Memory
-0.0MiB live, 227.2MiB allocated
Compiler

Compiled 59 591 to 3 545 computations (94.1% saved)

prune26.0ms (0.3%)

Memory
-11.7MiB live, 73.1MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New93810948
Fresh404
Picked505
Done000
Total94710957
Accuracy
100.0%
Counts
957 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.8%
(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)
80.0%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
63.6%
(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)
53.4%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (*.f64 (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 1/60 binary64) (*.f64 l l)))) (pow.f64 l #s(literal 7 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
22.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 #s(literal 1 binary64) (/.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 U (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 J l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))))))
40.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
38.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
45.9%
#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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
53.4%
#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 #s(literal 2 binary64) J) l U)))
26.2%
#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) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
Compiler

Compiled 816 to 586 computations (28.2% saved)

simplify113.0ms (1.2%)

Memory
41.6MiB live, 118.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
cost-diff0
(*.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)))
cost-diff0
(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)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l))
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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
cost-diff0
(*.f64 (*.f64 (*.f64 K K) l) J)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
cost-diff640
(fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l)))
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 (sinh.f64 l) #s(literal 2 binary64))
cost-diff0
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056439
082439
1154439
2314427
3793421
41900415
54256415
67705415
08175396
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
#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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l)))
#s(literal 1/192 binary64)
(*.f64 (*.f64 (*.f64 K K) l) J)
(*.f64 (*.f64 K K) l)
(*.f64 K K)
K
l
J
(*.f64 #s(literal -1/4 binary64) (*.f64 J l))
#s(literal -1/4 binary64)
(*.f64 J l)
(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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal 2 binary64) J)
#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
l
(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)
(*.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)))
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
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)
(fma.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) #s(literal 2 binary64)) (sinh.f64 l) U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (sinh.f64 l))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 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) #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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.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 J l) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) #s(literal 2 binary64))) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.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 J l) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) #s(literal 2 binary64))) U))
(fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 J l) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) #s(literal 2 binary64))) U)
(fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l)))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) K) K #s(literal -1/4 binary64)) J) l)
#s(literal 1/192 binary64)
(*.f64 (*.f64 (*.f64 K K) l) J)
(*.f64 (*.f64 K K) l)
(*.f64 K K)
K
l
J
(*.f64 #s(literal -1/4 binary64) (*.f64 J l))
(*.f64 (*.f64 J l) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 J l)
(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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
#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 l)) #s(literal 2 binary64))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J l)) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J l)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
l
(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)
(fma.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)
(*.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)))
(*.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(*.f64 (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

localize223.0ms (2.4%)

Memory
-64.4MiB live, 244.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(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)
accuracy0.0703125
(*.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)))
accuracy0.20808840203156403
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
accuracy31.17141077622018
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy0.09765625
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy0.1015625
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)
accuracy23.29342218672272
#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) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
accuracy35.11088870192432
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l))
accuracy7.027211211191904
(*.f64 (*.f64 (*.f64 K K) l) J)
accuracy7.09886775279035
(*.f64 (*.f64 K K) l)
accuracy23.29342218672272
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
accuracy25.063136788381538
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.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)
accuracy13.220706706836351
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
accuracy23.29342218672272
#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)))
accuracy0.0
(sinh.f64 l)
accuracy0.015625
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy0.0703125
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy29.473333584405154
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
Samples
124.0ms209×0valid
42.0ms47×1valid
Compiler

Compiled 737 to 109 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-mult: 57.0ms (40.8% of total)
ival-cos: 46.0ms (32.9% of total)
ival-exp: 11.0ms (7.9% of total)
ival-add: 9.0ms (6.4% of total)
ival-div: 4.0ms (2.9% of total)
const: 4.0ms (2.9% of total)
adjust: 3.0ms (2.1% of total)
ival-sub: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-sinh: 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)

series61.0ms (0.7%)

Memory
24.4MiB live, 97.2MiB allocated
Counts
22 → 89
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
(*.f64 (sinh.f64 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 (+ (* (* (* 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 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J 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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(*.f64 (*.f64 (*.f64 K K) l) 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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(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)
(*.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)))
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(sinh.f64 l)
(*.f64 (*.f64 K K) l)
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))))))
(+ U (* 2 (* J l)))
(* 2 J)
(* J (+ (* -1/4 l) (* 1/192 (* (pow K 2) l))))
(* J (* (pow K 2) l))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (cos (* 1/2 K))))
(* 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)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1/192 (* (pow K 2) l)) (* 1/4 l))))
(+ 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)))))))))
(* 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)))))))))
(* l (+ (* -1/4 J) (* 1/192 (* J (pow 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))))))))
(* (pow K 2) l)
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/2 (- (exp l) (/ 1 (exp 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 (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ U (* J (- (exp l) (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)))))))
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(cos (* -1/2 K))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
16.0ms
K
@0
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* 1/192 (* (* (* K K) l) J)) (* -1/4 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* K K) l) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* 2 J) (cos (* 1/2 K))) l) (* (* 2 J) (cos (* 1/2 K))) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (+ (* (* K K) -1/8) 1) (sinh l) (* (* K K) l))
8.0ms
l
@inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* 1/192 (* (* (* K K) l) J)) (* -1/4 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* K K) l) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* 2 J) (cos (* 1/2 K))) l) (* (* 2 J) (cos (* 1/2 K))) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (+ (* (* K K) -1/8) 1) (sinh l) (* (* K K) l))
6.0ms
K
@-inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* 1/192 (* (* (* K K) l) J)) (* -1/4 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* K K) l) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* 2 J) (cos (* 1/2 K))) l) (* (* 2 J) (cos (* 1/2 K))) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (+ (* (* K K) -1/8) 1) (sinh l) (* (* K K) l))
5.0ms
l
@-inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* 1/192 (* (* (* K K) l) J)) (* -1/4 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* K K) l) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* 2 J) (cos (* 1/2 K))) l) (* (* 2 J) (cos (* 1/2 K))) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (+ (* (* K K) -1/8) 1) (sinh l) (* (* K K) l))
4.0ms
J
@0
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* 1/192 (* (* (* K K) l) J)) (* -1/4 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* K K) l) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* 2 J) (cos (* 1/2 K))) l) (* (* 2 J) (cos (* 1/2 K))) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (+ (* (* K K) -1/8) 1) (sinh l) (* (* K K) l))

simplify175.0ms (1.9%)

Memory
-6.7MiB live, 228.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03401497
111141449
234041301
374181301
082761188
Stop Event
iter limit
node limit
Counts
89 → 87
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))))))
(+ U (* 2 (* J l)))
(* 2 J)
(* J (+ (* -1/4 l) (* 1/192 (* (pow K 2) l))))
(* J (* (pow K 2) l))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (cos (* 1/2 K))))
(* 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)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1/192 (* (pow K 2) l)) (* 1/4 l))))
(+ 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)))))))))
(* 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)))))))))
(* l (+ (* -1/4 J) (* 1/192 (* J (pow 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))))))))
(* (pow K 2) l)
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/2 (- (exp l) (/ 1 (exp 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 (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ U (* J (- (exp l) (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)))))))
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(cos (* -1/2 K))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(* J (+ (* -1/4 l) (* 1/192 (* (pow K 2) l))))
(*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) l)
(* J (* (pow K 2) l))
(*.f64 (*.f64 (*.f64 K K) 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 (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* 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)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -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 (+ (* -1/192 (* (pow K 2) l)) (* 1/4 l))))
(*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) 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 (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(*.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))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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 (fma.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)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)
(* l (+ (* -1/4 J) (* 1/192 (* J (pow K 2)))))
(*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) l)
l
(* l (+ 1 (* 1/6 (pow l 2))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/6 binary64) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) l)
(* (pow K 2) l)
(*.f64 (*.f64 K K) l)
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 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)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 l) (/.f64 #s(literal -1/2 binary64) (exp.f64 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -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 (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) l)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 (*.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) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 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))
(+ 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 #s(literal -1/8 binary64) (*.f64 K K) #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 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) l) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 l (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U))
(* -1/4 (* J l))
(*.f64 (*.f64 #s(literal -1/4 binary64) J) l)
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) l)
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) l) (*.f64 K K) (*.f64 (*.f64 J l) #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 l (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))
(+ (* -1/4 (* J (pow K 2))) (* 2 J))
(*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* 1/192 (* J (pow K 2))))))
(fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (*.f64 J (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* 1/192 (* J (* (pow K 2) l)))
(*.f64 (*.f64 (*.f64 (*.f64 K K) J) #s(literal 1/192 binary64)) l)
(* (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))
(* -1/8 (pow K 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 K K))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(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))))
(fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(fma.f64 (*.f64 U #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J l) U)) U)
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U)

rewrite168.0ms (1.8%)

Memory
8.7MiB live, 200.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056348
082342
1271342
21807342
08377333
Stop Event
iter limit
node limit
iter limit
Counts
22 → 374
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
(*.f64 (sinh.f64 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 (+ (* (* (* 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 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J 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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(*.f64 (*.f64 (*.f64 K K) l) 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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(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)
(*.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)))
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(sinh.f64 l)
(*.f64 (*.f64 K K) l)
Outputs
(*.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 U (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 U U))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 (sinh.f64 l) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 U U)) (pow.f64 (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 (sinh.f64 l) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) (*.f64 J U))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 (sinh.f64 l) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U))) (/.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U))) (fma.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 U U)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 (sinh.f64 l) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U))) (*.f64 (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U)) (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U))))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U))))
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(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))
(*.f64 (/.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal -1/2 binary64))
(*.f64 (cosh.f64 l) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) #s(literal 1/2 binary64)))
(*.f64 (sinh.f64 l) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 l))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 l)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 l) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 l)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 l) #s(literal 1/2 binary64)) (*.f64 (exp.f64 l) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 l)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 l)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 l) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 l)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 l) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 l)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 l))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 l)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 l)))
(sinh.f64 l)
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (exp.f64 l) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 l)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 l K) K)
(*.f64 (*.f64 K K) l)
(*.f64 l (*.f64 K K))
(*.f64 K (*.f64 l K))

eval150.0ms (1.6%)

Memory
-10.4MiB live, 154.6MiB allocated
Compiler

Compiled 24 240 to 2 167 computations (91.1% saved)

prune31.0ms (0.3%)

Memory
31.0MiB live, 69.3MiB allocated
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New56214576
Fresh235
Picked235
Done000
Total56620586
Accuracy
100.0%
Counts
586 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J U)
67.1%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J U)
64.8%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
49.8%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J U)
80.0%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
75.5%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
74.7%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
71.3%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
63.6%
(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)
53.4%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (*.f64 (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 1/60 binary64) (*.f64 l l)))) (pow.f64 l #s(literal 7 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
22.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 #s(literal 1 binary64) (/.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 U (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 J l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))))))
49.4%
#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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)))
53.4%
#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 #s(literal 2 binary64) J) l U)))
26.2%
#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) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
26.2%
#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 #s(literal 2 binary64) l)) 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) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
57.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
50.0%
#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))))
16.4%
#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)))))
22.8%
#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) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
Compiler

Compiled 1 420 to 1 034 computations (27.2% saved)

simplify143.0ms (1.5%)

Memory
-7.1MiB live, 112.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
cost-diff0
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J))
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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J)))
cost-diff0
#s(approx (* (sinh 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))
cost-diff0
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
cost-diff0
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
cost-diff0
#s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U 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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
cost-diff1024
(fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U)
cost-diff0
(*.f64 (*.f64 J l) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #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 (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
cost-diff0
#s(approx (* (sinh 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))
cost-diff0
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
cost-diff0
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066583
096583
1178583
2346583
3750565
41461565
52400565
64965565
77170565
08011546
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (sinh 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))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l l)
l
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
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 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64))))
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(*.f64 J l)
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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U)))
#s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))
(fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U)
(*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64))
(/.f64 (*.f64 J l) U)
(*.f64 J l)
J
l
U
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (sinh 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))
(*.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)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
Outputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
(*.f64 #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (sinh 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))
#s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l l)
l
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
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 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64))))
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(*.f64 J l)
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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U 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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U 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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))
#s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64))
(/.f64 (*.f64 J l) U)
(*.f64 J l)
J
l
U
#s(literal 2 binary64)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) #s(approx (* (sinh 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)) U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
(*.f64 #s(approx (* (sinh 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)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (sinh 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))
(*.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)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J

localize274.0ms (2.9%)

Memory
-2.3MiB live, 308.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J)
accuracy0.140625
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
accuracy23.29342218672272
#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 #s(literal 2 binary64) l)) J)))
accuracy35.11088870192432
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J))
accuracy0.0703125
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
accuracy0.08984375
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
accuracy5.435090256656226
#s(approx (* (sinh 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))
accuracy29.473333584405154
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
accuracy4.507952018284569
(fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U)
accuracy5.663801939066235
(/.f64 (*.f64 J l) U)
accuracy13.220706706836351
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U)))
accuracy23.29342218672272
#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 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
accuracy0.0
(*.f64 J l)
accuracy13.220706706836351
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64))))
accuracy23.29342218672272
#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)))))
accuracy35.019834425956816
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
accuracy0.0703125
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
accuracy0.10546875
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy4.262947790419548
#s(approx (* (sinh 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))
accuracy29.473333584405154
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
Samples
113.0ms209×0valid
112.0ms47×1valid
Compiler

Compiled 930 to 129 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
ival-mult: 56.0ms (35.2% of total)
ival-add: 31.0ms (19.5% of total)
ival-cos: 24.0ms (15.1% of total)
const: 22.0ms (13.8% of total)
ival-exp: 11.0ms (6.9% of total)
adjust: 6.0ms (3.8% of total)
ival-div: 3.0ms (1.9% of total)
ival-sub: 2.0ms (1.3% of total)
exact: 1.0ms (0.6% of total)
ival-sinh: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory
-7.3MiB live, 75.8MiB allocated
Counts
23 → 81
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(approx (* (sinh 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))
#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)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64))))
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U 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 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U)))
#s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
#s(approx (* (sinh 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))
#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 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(*.f64 J l)
(/.f64 (*.f64 J l) U)
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J l)
(/ (* J l) U)
(* 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)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(* 2 l)
(* 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)))))))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U 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) (* -1/8 (* (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)))
(+ 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))))))
(+ (* 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 (* (pow K 2) l)) (* 2 l))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))
(cos (* -1/2 K))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
15.0ms
U
@0
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* J l) 2) (+ (* (* (/ (* J l) U) 2) U) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (cos (* -1/2 K)) (* 2 l)) J) (* (cos (* -1/2 K)) (* 2 l)) (+ (* 1/2520 (* l l)) 1/60) (* J l) (/ (* J l) U) (+ (* 1/60 (* l l)) 1/3))
6.0ms
l
@0
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* J l) 2) (+ (* (* (/ (* J l) U) 2) U) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (cos (* -1/2 K)) (* 2 l)) J) (* (cos (* -1/2 K)) (* 2 l)) (+ (* 1/2520 (* l l)) 1/60) (* J l) (/ (* J l) U) (+ (* 1/60 (* l l)) 1/3))
5.0ms
l
@inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* J l) 2) (+ (* (* (/ (* J l) U) 2) U) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (cos (* -1/2 K)) (* 2 l)) J) (* (cos (* -1/2 K)) (* 2 l)) (+ (* 1/2520 (* l l)) 1/60) (* J l) (/ (* J l) U) (+ (* 1/60 (* l l)) 1/3))
5.0ms
l
@-inf
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* J l) 2) (+ (* (* (/ (* J l) U) 2) U) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (cos (* -1/2 K)) (* 2 l)) J) (* (cos (* -1/2 K)) (* 2 l)) (+ (* 1/2520 (* l l)) 1/60) (* J l) (/ (* J l) U) (+ (* 1/60 (* l l)) 1/3))
3.0ms
J
@0
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* J l) 2) (+ (* (* (/ (* J l) U) 2) U) U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (cos (* -1/2 K)) (* 2 l)) J) (* (cos (* -1/2 K)) (* 2 l)) (+ (* 1/2520 (* l l)) 1/60) (* J l) (/ (* J l) U) (+ (* 1/60 (* l l)) 1/3))

simplify186.0ms (2%)

Memory
9.9MiB live, 273.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03031328
110001292
230451152
367331144
086061039
Stop Event
iter limit
node limit
Counts
81 → 80
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))))))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J l)
(/ (* J l) U)
(* 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)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(* 2 l)
(* 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)))))))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U 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) (* -1/8 (* (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)))
(+ 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))))))
(+ (* 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 (* (pow K 2) l)) (* 2 l))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))
(cos (* -1/2 K))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(* 2 (* J l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* J l)
(*.f64 J l)
(/ (* J l) U)
(/.f64 (*.f64 J l) U)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(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 (+ (* (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)
(* 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)))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (+ (* 2 l) (/ U J)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp 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)
(* -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)
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) 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 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(*.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))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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 (fma.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)) (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* l (+ (* 2 J) (/ U l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(* 1/2520 (pow l 2))
(*.f64 #s(literal 1/2520 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(* 1/60 (pow l 2))
(*.f64 #s(literal 1/60 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (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) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 (*.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) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (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))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ U (* J (- (exp l) (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 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (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 (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64)))) (fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 (*.f64 J l) #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 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64)))) (*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))
(+ (* -1/4 (* (pow K 2) l)) (* 2 l))
(*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(* 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)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(fma.f64 (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) #s(literal 1 binary64) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp 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)
(* -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)
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(fma.f64 (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 1 binary64) U)
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) #s(literal 1 binary64) U)

rewrite172.0ms (1.8%)

Memory
39.3MiB live, 190.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066455
096449
1335449
22181449
08363434
Stop Event
iter limit
node limit
iter limit
Counts
23 → 223
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(approx (* (sinh 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))
#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)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64))))
#s(approx (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U 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 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U)))
#s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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)))
#s(approx (* (sinh 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))
#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 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(*.f64 J l)
(/.f64 (*.f64 J l) U)
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
Outputs
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(/.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)))
(neg.f64 (/.f64 (*.f64 (neg.f64 l) J) 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)))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (pow.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))) (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))) (/.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 l l)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 l l) #s(literal 1/180 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64))))))
(/.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))) (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)))))
(/.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64)) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))) (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64))))
(fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 l (*.f64 #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 #s(literal 1/60 binary64) (*.f64 l l)))) (/.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 l l)))))
(-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal -1/3 binary64))))
(+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 l l)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 l l)))

eval63.0ms (0.7%)

Memory
-17.9MiB live, 70.4MiB allocated
Compiler

Compiled 15 636 to 1 442 computations (90.8% saved)

prune39.0ms (0.4%)

Memory
-6.4MiB live, 70.4MiB allocated
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New2817288
Fresh21012
Picked235
Done033
Total28523308
Accuracy
100.0%
Counts
308 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J U)
67.1%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J U)
64.8%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
80.0%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
74.7%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
75.5%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
71.3%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
74.7%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
63.6%
(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)
53.4%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (*.f64 (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 1/60 binary64) (*.f64 l l)))) (pow.f64 l #s(literal 7 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
22.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 #s(literal 1 binary64) (/.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 U (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 J l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))))))
49.4%
#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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)))
53.4%
#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 #s(literal 2 binary64) J) l U)))
26.2%
#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) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
26.2%
#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 #s(literal 2 binary64) l)) J)))
23.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
23.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J)))
57.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
57.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
59.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #s(literal 2 binary64))) U))))
50.0%
#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))))
16.4%
#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)))))
22.8%
#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) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
Compiler

Compiled 2 443 to 966 computations (60.5% saved)

regimes147.0ms (1.6%)

Memory
16.9MiB live, 186.8MiB allocated
Counts
41 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J 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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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))) #s(approx (* (sinh 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))) J 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 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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)
#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 #s(literal 2 binary64) l)) 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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
#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)
(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))
(+.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)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) #s(approx (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (*.f64 (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 1/60 binary64) (*.f64 l l)))) (pow.f64 l #s(literal 7 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 #s(literal 1 binary64) (/.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 U (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (*.f64 J l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))))))
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #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))) (neg.f64 (/.f64 (*.f64 U 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)))))
(fma.f64 (pow.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal -1/2 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))) (neg.f64 (/.f64 (*.f64 U 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)))))
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:

39.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms
K
12.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
12.0ms
(/.f64 K #s(literal 2 binary64))
12.0ms
J
Results
AccuracySegmentsBranch
100.0%1J
100.0%1l
100.0%1K
100.0%1U
100.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
100.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
100.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
100.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
100.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
100.0%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes149.0ms (1.6%)

Memory
-35.7MiB live, 163.3MiB allocated
Counts
35 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J 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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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))) #s(approx (* (sinh 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))) J 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 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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)
#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 #s(literal 2 binary64) l)) 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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
#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)
(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))
(+.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:

29.0ms
J
13.0ms
K
12.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
12.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
10.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.3%1J
94.3%1l
97.3%2K
94.3%1U
94.3%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
94.3%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
94.3%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
94.3%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
97.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
97.3%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes31.0ms (0.3%)

Memory
23.9MiB live, 23.9MiB allocated
Counts
33 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J 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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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))) #s(approx (* (sinh 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))) J 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 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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)
#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 #s(literal 2 binary64) l)) 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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
#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)
(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))
(+.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:

10.0ms
(/.f64 K #s(literal 2 binary64))
10.0ms
K
9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
95.8%2K
95.8%2(/.f64 K #s(literal 2 binary64))
96.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes122.0ms (1.3%)

Memory
-10.8MiB live, 179.5MiB allocated
Counts
32 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J 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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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))) #s(approx (* (sinh 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))) J 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 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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)
#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 #s(literal 2 binary64) l)) 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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
#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)
(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))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

22.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
15.0ms
J
14.0ms
K
13.0ms
l
12.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
92.8%2K
92.8%2(/.f64 K #s(literal 2 binary64))
91.0%3J
87.5%1U
96.9%5l
90.4%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
90.4%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
89.9%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
87.5%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
94.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes11.0ms (0.1%)

Memory
26.0MiB live, 26.0MiB 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J 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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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))) #s(approx (* (sinh 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))) J 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 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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)
#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 #s(literal 2 binary64) l)) 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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
#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)
(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

1 calls:

9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes139.0ms (1.5%)

Memory
-51.4MiB live, 133.7MiB allocated
Counts
30 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J 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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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))) #s(approx (* (sinh 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))) J 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 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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)
#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 #s(literal 2 binary64) l)) 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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
#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)
(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

8 calls:

41.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
27.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
25.0ms
l
11.0ms
J
9.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
83.8%2J
89.4%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
91.0%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
91.0%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
91.0%4l
83.1%2K
83.1%2(/.f64 K #s(literal 2 binary64))
88.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 46 to 61 computations (-32.6% saved)

regimes37.0ms (0.4%)

Memory
27.5MiB live, 101.4MiB allocated
Counts
29 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J 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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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))) #s(approx (* (sinh 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))) J 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 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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)
#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 #s(literal 2 binary64) l)) 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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
#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)
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))) #s(approx (* (sinh 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))) J U)
Calls

4 calls:

11.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
9.0ms
U
8.0ms
(-.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
81.6%2U
87.1%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
90.6%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
90.6%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Compiler

Compiled 35 to 39 computations (-11.4% saved)

regimes42.0ms (0.4%)

Memory
0.3MiB live, 89.7MiB allocated
Counts
27 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J 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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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))) #s(approx (* (sinh 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))) J 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 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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)
#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 #s(literal 2 binary64) l)) 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 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)))
Outputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) 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

5 calls:

9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
9.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
8.0ms
l
7.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
6.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
81.9%2l
80.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
86.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
83.9%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
83.9%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Compiler

Compiled 41 to 47 computations (-14.6% saved)

regimes57.0ms (0.6%)

Memory
1.3MiB live, 119.0MiB allocated
Counts
24 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J 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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) 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))) #s(approx (* (sinh 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))) J 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 (fma.f64 (*.f64 #s(literal -1/4 binary64) J) l (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
Outputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
Calls

7 calls:

12.0ms
(/.f64 K #s(literal 2 binary64))
9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
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
K
7.0ms
J
Results
AccuracySegmentsBranch
75.5%1K
75.5%1(/.f64 K #s(literal 2 binary64))
77.0%2J
79.8%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
79.8%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
77.8%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
82.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 43 to 56 computations (-30.2% saved)

regimes9.0ms (0.1%)

Memory
-11.8MiB live, 27.2MiB allocated
Counts
22 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J 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 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
Outputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
Calls

1 calls:

8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
81.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes14.0ms (0.2%)

Memory
-11.0MiB live, 28.1MiB allocated
Counts
20 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
Outputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
Calls

2 calls:

7.0ms
l
6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
77.4%2l
81.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 5 to 11 computations (-120% saved)

regimes17.0ms (0.2%)

Memory
27.7MiB live, 27.7MiB allocated
Counts
18 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
Outputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
Calls

3 calls:

6.0ms
U
6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
5.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
77.8%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
77.1%2U
80.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 13 to 20 computations (-53.8% saved)

regimes28.0ms (0.3%)

Memory
-14.5MiB live, 24.3MiB allocated
Counts
17 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J 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 (/.f64 #s(literal 1 binary64) (/.f64 U (*.f64 J l))) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh 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))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
Outputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
Calls

3 calls:

17.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
5.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
4.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
74.7%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
74.7%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
79.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 32 to 34 computations (-6.3% saved)

regimes65.0ms (0.7%)

Memory
-11.1MiB live, 71.1MiB allocated
Counts
13 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.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)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J 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 (*.f64 K K) l) J) #s(literal -1/4 binary64) (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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* 2 J) (cos (* 1/2 K))) (fma.f64 (*.f64 J (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) J))) l)))
Outputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
Calls

10 calls:

18.0ms
K
13.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
4.0ms
(/.f64 K #s(literal 2 binary64))
4.0ms
J
4.0ms
U
Results
AccuracySegmentsBranch
71.3%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
71.3%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
71.3%1K
71.3%1(/.f64 K #s(literal 2 binary64))
72.9%2J
71.3%1U
71.3%1l
71.3%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
71.3%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
76.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes4.0ms (0%)

Memory
6.6MiB live, 6.6MiB 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U U))))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J 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 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
Calls

1 calls:

3.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
75.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes32.0ms (0.3%)

Memory
21.1MiB live, 58.4MiB 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #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) (fma.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64)) U 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 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #s(literal 2 binary64))) U))))
Calls

10 calls:

5.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
3.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
J
3.0ms
U
3.0ms
K
Results
AccuracySegmentsBranch
59.7%1l
61.6%2U
62.2%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
59.7%1K
59.7%1(/.f64 K #s(literal 2 binary64))
61.8%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
61.8%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
59.7%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
61.3%2J
64.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes74.0ms (0.8%)

Memory
-40.9MiB live, 46.7MiB allocated
Counts
6 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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 (+ (* (* 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 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) 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)))
#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))))
Calls

10 calls:

30.0ms
(/.f64 K #s(literal 2 binary64))
24.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms
K
3.0ms
l
3.0ms
U
Results
AccuracySegmentsBranch
60.5%3l
55.2%2K
55.2%2(/.f64 K #s(literal 2 binary64))
60.5%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
55.0%2J
55.3%2U
61.0%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
61.0%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
61.7%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
57.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes6.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
4 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J)))
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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J)))
Calls

3 calls:

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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
2.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
59.2%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
59.2%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
60.6%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Compiler

Compiled 36 to 36 computations (0% saved)

regimes9.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
3 → 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 (+ (* (* 2 J) l) 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) #s(approx (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #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 (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))))
Calls

5 calls:

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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
1.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
1.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
60.2%3l
60.2%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
60.2%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
58.8%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
58.8%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Compiler

Compiled 43 to 48 computations (-11.6% saved)

regimes15.0ms (0.2%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
2 → 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 (+ (* (* 2 J) l) 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)))
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

10 calls:

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
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms
U
1.0ms
l
Results
AccuracySegmentsBranch
53.4%1J
53.4%1K
53.4%1(/.f64 K #s(literal 2 binary64))
53.4%1U
53.4%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
53.4%1l
53.4%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
53.4%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
53.4%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
53.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes20.0ms (0.2%)

Memory
-22.0MiB live, 17.6MiB 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 (+ (* (* 2 J) l) 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 (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
Calls

10 calls:

10.0ms
(/.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
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms
K
1.0ms
U
Results
AccuracySegmentsBranch
16.4%1U
16.4%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
16.4%1K
16.4%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
16.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
16.4%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
16.4%1(/.f64 K #s(literal 2 binary64))
16.4%1J
16.4%1l
16.4%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.21224432126578535
0.21390808764527813
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.21224432126578535
0.21390808764527813
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.21224432126578535
0.21390808764527813
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.21224432126578535
0.21390808764527813
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.568943813860856e+210
+inf
0.0ms
-inf
-6.644988048881807e+101
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
8.568943813860856e+210
+inf
0.0ms
-inf
-6.644988048881807e+101
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014587021796370574
0.029414560080631407
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014587021796370574
0.029414560080631407
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014587021796370574
0.029414560080631407
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014587021796370574
0.029414560080631407
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014587021796370574
0.029414560080631407
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014587021796370574
0.029414560080631407
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014587021796370574
0.029414560080631407
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014587021796370574
0.029414560080631407
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.014587021796370574
0.029414560080631407
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
2.2759314198931865e-135
0.0ms
-8.583912100287434e+210
-6.644988048881807e+101
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1718879057493593e-5
8.568943813860856e+210
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1718879057493593e-5
8.568943813860856e+210
Compiler

Compiled 18 to 21 computations (-16.7% saved)

simplify71.0ms (0.8%)

Memory
-1.2MiB live, 36.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01981496
12511496
23311496
34301496
46591460
511501460
620031460
737661460
866141460
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 7674133765039325/36028797018963968 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 7674133765039325/36028797018963968 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 7674133765039325/36028797018963968 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* 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 7674133765039325/36028797018963968 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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 9999999999999999563134023721266549739021664297767471527755878388779781994104643936539191296017163181162427182749897969201059028320356032930746282153172616351711759756540926280845609521557638656931995269719916544 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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 9999999999999999563134023721266549739021664297767471527755878388779781994104643936539191296017163181162427182749897969201059028320356032930746282153172616351711759756540926280845609521557638656931995269719916544 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))) #s(approx (* (sinh 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))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) 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 -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U))) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #s(literal 2 binary64))) U)))))
(if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J))) (if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 0 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 (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))))
(if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 5902958103587057/295147905179352825856 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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J))))
(if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 5902958103587057/295147905179352825856 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 (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (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 (+ (* (* 2 J) l) 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 7674133765039325/36028797018963968 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 7674133765039325/36028797018963968 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (* (sinh 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))) (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 7674133765039325/36028797018963968 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 7674133765039325/36028797018963968 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (* (sinh 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))) (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 7674133765039325/36028797018963968 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* 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 7674133765039325/36028797018963968 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* 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 7674133765039325/36028797018963968 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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 9999999999999999563134023721266549739021664297767471527755878388779781994104643936539191296017163181162427182749897969201059028320356032930746282153172616351711759756540926280845609521557638656931995269719916544 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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #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 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 9999999999999999563134023721266549739021664297767471527755878388779781994104643936539191296017163181162427182749897969201059028320356032930746282153172616351711759756540926280845609521557638656931995269719916544 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))) #s(approx (* (sinh 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))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) 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 -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh 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))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.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)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* l l)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (*.f64 #s(literal 2 binary64) l))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U))) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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 #s(literal -1/4 binary64) (*.f64 K 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) #s(approx (+ (* (* 2 J) l) U) (fma.f64 J (*.f64 (/.f64 l U) (*.f64 U #s(literal 2 binary64))) U)))))
(if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -4999999999999999781567011860633274869510832148883735763877939194389890997052321968269595648008581590581213591374948984600529514160178016465373141076586308175855879878270463140422804760778819328465997634859958272 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J))) (if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 0 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 (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))))
(if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 5902958103587057/295147905179352825856 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) (*.f64 #s(approx (* (cos (* -1/2 K)) (* 2 l)) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))) J))))
(if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 5902958103587057/295147905179352825856 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 (* (* (* 2 J) (cos (* 1/2 K))) l) (*.f64 (*.f64 J l) (fma.f64 #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) (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 (+ (* (* 2 J) l) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))

soundness1.9s (20.6%)

Memory
36.4MiB live, 1 184.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066455
096449
1335449
22181449
08363434
01446
02338
17238
243338
0450037
056348
082342
1271342
21807342
08377333
03031328
110001292
230451152
367331144
086061039
0145742
1453742
21464632
33603632
08258580
09848747
132778391
092838108
03401497
111141449
234041301
374181301
082761188
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 2 822 to 1 480 computations (47.6% saved)

preprocess261.0ms (2.8%)

Memory
8.8MiB live, 280.3MiB allocated
Remove

(abs K)

Compiler

Compiled 3 034 to 454 computations (85% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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