Maksimov and Kolovsky, Equation (4)

Time bar (total: 7.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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)

sample1.5s (20%)

Memory
416.7MiB live, 416.7MiB allocated
Samples
607.0ms1 893×1valid
575.0ms6 363×0valid
Precisions
Click to see histograms. Total time spent on operations: 945.0ms
ival-exp: 371.0ms (39.3% of total)
ival-cos: 233.0ms (24.7% of total)
ival-mult: 114.0ms (12.1% of total)
ival-sub: 48.0ms (5.1% of total)
ival-div: 47.0ms (5% of total)
ival-add: 45.0ms (4.8% of total)
adjust: 40.0ms (4.2% of total)
ival-neg: 32.0ms (3.4% of total)
ival-true: 7.0ms (0.7% of total)
exact: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain292.0ms (3.9%)

Memory
105.4MiB live, 105.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1300-0-(-.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))))
0120(2.8258491350551784e+152 -1.498257806228225e+213 -1.8699258946817534e+168 -1.5078338973128604e+101)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)))sensitivity1200
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation440
Confusion
Predicted +Predicted -
+420
-104110
Precision
0.2876712328767123
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4200
-1041109
Precision?
0.2857142857142857
Recall?
1.0
Freqs
test
numberfreq
0110
1128
218
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
71.0ms206×1valid
33.0ms260×0valid
25.0ms46×2valid
Compiler

Compiled 263 to 84 computations (68.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-exp: 45.0ms (46.9% of total)
ival-cos: 17.0ms (17.7% of total)
ival-mult: 10.0ms (10.4% of total)
adjust: 7.0ms (7.3% of total)
ival-sub: 5.0ms (5.2% of total)
ival-div: 4.0ms (4.2% of total)
ival-add: 4.0ms (4.2% of total)
ival-neg: 2.0ms (2.1% of total)
ival-true: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess86.0ms (1.2%)

Memory
10.4MiB live, 10.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066216
1162211
2455210
31527210
45062210
01415
02315
13615
26215
312315
427915
550815
669915
7109915
8157415
9175615
10180515
11181315
12181315
0181314
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.2%
(+.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)

simplify48.0ms (0.6%)

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

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
02361
13661
26261
312361
427961
550861
669961
7109961
8157461
9175661
10180561
11181361
12181361
0181360
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

localize78.0ms (1%)

Memory
19.0MiB live, 19.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy0.00390625
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy0.078125
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy30.191348329553488
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
35.0ms103×1valid
17.0ms130×0valid
13.0ms23×2valid
Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-exp: 23.0ms (47.8% of total)
ival-cos: 8.0ms (16.6% of total)
ival-mult: 5.0ms (10.4% of total)
adjust: 3.0ms (6.2% of total)
ival-sub: 2.0ms (4.2% of total)
ival-div: 2.0ms (4.2% of total)
ival-add: 2.0ms (4.2% of total)
ival-neg: 1.0ms (2.1% 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
7.4MiB live, 7.4MiB 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
@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
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
K
@inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
2.0ms
l
@-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)))

simplify147.0ms (2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0145742
1453742
21460632
33555632
08167580
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)

rewrite121.0ms (1.6%)

Memory
33.8MiB live, 33.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
02338
17238
243338
0448537
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))

eval40.0ms (0.5%)

Memory
26.3MiB live, 26.3MiB allocated
Compiler

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

prune16.0ms (0.2%)

Memory
14.7MiB live, 14.7MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New28510295
Fresh000
Picked101
Done000
Total28610296
Accuracy
100.0%
Counts
296 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(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)
20.6%
(/.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))) (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)))
99.9%
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
94.2%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
91.2%
(+.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)
87.4%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
71.9%
#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))
64.4%
#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))
82.3%
#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 582 to 396 computations (32% saved)

simplify99.0ms (1.3%)

Memory
28.4MiB live, 28.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
cost-diff128
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff768
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
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
053454
089451
1157447
2300447
3676429
41644429
54658429
08425426
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l l)
l
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
K
#s(literal -1/2 binary64)
J
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
l
#s(literal 2 binary64)
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 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J)
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l l)
l
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) 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 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
(*.f64 J (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)
J
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 l))
#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)
U

localize530.0ms (7.1%)

Memory
118.1MiB live, 118.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy0.00390625
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
accuracy0.0546875
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
accuracy0.1328125
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
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)
accuracy0.01953125
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
accuracy0.078125
(*.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))))
accuracy0.6032344426949143
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
accuracy0.00390625
(+.f64 (*.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)
accuracy0.01171875
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy0.078125
(*.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))))
accuracy0.9275456671395172
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy0
(*.f64 #s(literal 1/2 binary64) K)
accuracy0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy0.03515625
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
accuracy0.6440646502063961
#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
(sinh.f64 l)
accuracy0
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy0.0234375
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy0.0625
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
Samples
348.0ms121×5exit
92.0ms103×1valid
27.0ms23×2valid
4.0ms0valid
Compiler

Compiled 799 to 104 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 384.0ms
ival-cos: 166.0ms (43.3% of total)
ival-mult: 65.0ms (16.9% of total)
adjust: 54.0ms (14.1% of total)
ival-exp: 27.0ms (7% of total)
ival-add: 25.0ms (6.5% of total)
const: 17.0ms (4.4% of total)
ival-div: 11.0ms (2.9% of total)
ival-sinh: 10.0ms (2.6% of total)
ival-sub: 5.0ms (1.3% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.8%)

Memory
25.0MiB live, 25.0MiB allocated
Counts
26 → 112
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
(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)
(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 (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)
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)))))
(* J (cos (* -1/2 K)))
(* 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 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 l)
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* 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))))))))))
(/ 1/2 l)
(/ (+ 1/2 (* -1/12 (pow l 2))) l)
(/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)
(/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(- (exp l) (exp (neg l)))
(/ 1 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -1/2 K)
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* 1/2 K)
(cos (* -1/2 K))
(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))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
9.0ms
K
@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))) (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (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) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l))
7.0ms
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))) (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (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) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l))
7.0ms
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))) (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (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) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l))
7.0ms
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))) (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (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) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l))
6.0ms
J
@0
((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) (/ 1 (* (sinh l) 2)) (+ (/ (* (cos (* K -1/2)) J) (/ 1 (* (sinh l) 2))) U) (* (cos (* K -1/2)) J) (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) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l))

simplify158.0ms (2.1%)

Memory
49.0MiB live, 49.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03942039
112702003
238841746
082351614
Stop Event
iter limit
node limit
Counts
112 → 109
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)))))
(* J (cos (* -1/2 K)))
(* 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 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 l)
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* 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))))))))))
(/ 1/2 l)
(/ (+ 1/2 (* -1/12 (pow l 2))) l)
(/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)
(/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(- (exp l) (exp (neg l)))
(/ 1 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -1/2 K)
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* 1/2 K)
(cos (* -1/2 K))
(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))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* 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) (/ 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)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)) J)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(*.f64 (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 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(*.f64 (fma.f64 (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)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 (*.f64 (*.f64 l l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) l)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
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(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))

rewrite161.0ms (2.2%)

Memory
58.0MiB live, 58.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053356
089335
1315331
22169331
08106328
Stop Event
iter limit
node limit
iter limit
Counts
26 → 559
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 K #s(literal -1/2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
(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)
(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 (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)
Outputs
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (pow.f64 (fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)) (fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (*.f64 (fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) (-.f64 U (*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) (neg.f64 (fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (/.f64 (-.f64 (*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 1 binary64) U)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (/.f64 (-.f64 (*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 1 binary64) U)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))) (fma.f64 (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))))
(fma.f64 (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (cosh.f64 l)) U)
(fma.f64 (/.f64 J (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) U)
(fma.f64 (/.f64 J (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) U)
(fma.f64 (/.f64 J (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) U)
(fma.f64 (/.f64 J (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) #s(literal -1 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) U)
(fma.f64 (/.f64 J (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))) U)
(fma.f64 (/.f64 J (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))) U)
(fma.f64 (/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)) (/.f64 J (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))) U)
(fma.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) (pow.f64 (sinh.f64 l) #s(literal -1 binary64))) U)
(fma.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (sinh.f64 l) #s(literal -1 binary64))) U)
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 J #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) U)
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 J (*.f64 #s(literal 2 binary64) (cosh.f64 l))) U)
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) #s(literal -1 binary64))) (/.f64 (/.f64 J #s(literal 1 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) U)
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) #s(literal -1 binary64))) (/.f64 J (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) U)
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))) (/.f64 (/.f64 J #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))) U)
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))) (/.f64 J (pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))) U)
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1/2 binary64)) (/.f64 (/.f64 J #s(literal 1 binary64)) (pow.f64 (sinh.f64 l) #s(literal -1 binary64))) U)
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1/2 binary64)) (/.f64 J (pow.f64 (sinh.f64 l) #s(literal -1 binary64))) U)
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (sinh.f64 l) #s(literal -1 binary64))) (/.f64 (/.f64 J #s(literal 1 binary64)) #s(literal 1/2 binary64)) U)
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (pow.f64 (sinh.f64 l) #s(literal -1 binary64))) (/.f64 J #s(literal 1/2 binary64)) U)
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(+.f64 (*.f64 (*.f64 (*.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)) l) l) l) (*.f64 #s(literal 2 binary64) l))
(+.f64 (*.f64 l (*.f64 (*.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)) l) l)) (*.f64 #s(literal 2 binary64) l))
(+.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (*.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)) l) l) l))
(+.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (*.f64 (*.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)) l) l)))

eval89.0ms (1.2%)

Memory
57.0MiB live, 57.0MiB allocated
Compiler

Compiled 20 739 to 2 357 computations (88.6% saved)

prune24.0ms (0.3%)

Memory
26.2MiB live, 26.2MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New60410614
Fresh505
Picked505
Done000
Total61410624
Accuracy
100.0%
Counts
624 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.5%
(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)
80.7%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
64.5%
(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)
99.9%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
64.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
43.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
51.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
54.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
68.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
28.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Compiler

Compiled 606 to 476 computations (21.5% saved)

simplify108.0ms (1.4%)

Memory
28.7MiB live, 28.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (/.f64 K #s(literal -2 binary64)))
cost-diff0
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
cost-diff0
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
cost-diff0
(*.f64 (*.f64 J l) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
cost-diff0
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
cost-diff640
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
cost-diff0
(*.f64 #s(literal 2 binary64) J)
cost-diff0
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J)
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
cost-diff1856
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057424
085424
1156414
2345414
3819406
41900406
54248406
66495406
08300389
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
#s(literal 1 binary64)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J)
(/.f64 #s(literal 1/2 binary64) (sinh.f64 l))
#s(literal 1/2 binary64)
(sinh.f64 l)
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
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
(*.f64 J l)
J
l
(fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))
(*.f64 K K)
K
#s(literal 1/192 binary64)
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(*.f64 J l)
J
l
#s(literal 2 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
J
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
U
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) U)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
#s(literal 1 binary64)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J)
(/.f64 #s(literal 1/2 binary64) (sinh.f64 l))
#s(literal 1/2 binary64)
(sinh.f64 l)
l
J
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) J) l U))
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) J) l U)
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) J) l)
(*.f64 J l)
J
l
(fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))
(*.f64 K K)
K
#s(literal 1/192 binary64)
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* 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 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(*.f64 J l)
J
l
#s(literal 2 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 J l) #s(literal 2 binary64)) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
J
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
U

localize473.0ms (6.3%)

Memory
101.4MiB live, 101.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 (/.f64 K #s(literal -2 binary64)))
accuracy0.01171875
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
accuracy0.0546875
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
accuracy0.6440646502063961
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
accuracy0.0078125
(*.f64 (*.f64 J l) #s(literal 2 binary64))
accuracy0.078125
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy0.6440646502063961
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
accuracy23.04766208966044
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy0.23626393138314805
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
accuracy0.6440646502063961
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
accuracy5.5681886129960905
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
accuracy11.76758841151168
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
accuracy0
(*.f64 #s(literal 2 binary64) J)
accuracy0.23518309137872953
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
accuracy0.6440646502063961
#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)))
accuracy3.8295525092898135
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
accuracy0.00390625
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
accuracy0.0625
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
accuracy0.09765625
(/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J)
accuracy0.35312152623254234
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
Samples
332.0ms121×5exit
54.0ms56×1valid
35.0ms79×0valid
Compiler

Compiled 729 to 112 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 349.0ms
ival-cos: 169.0ms (48.4% of total)
adjust: 48.0ms (13.8% of total)
ival-mult: 44.0ms (12.6% of total)
ival-div: 27.0ms (7.7% of total)
ival-add: 18.0ms (5.2% of total)
ival-exp: 17.0ms (4.9% of total)
ival-sinh: 12.0ms (3.4% of total)
const: 6.0ms (1.7% of total)
ival-sub: 4.0ms (1.1% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series65.0ms (0.9%)

Memory
30.6MiB live, 30.6MiB allocated
Counts
20 → 109
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) 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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
(cos.f64 (/.f64 K #s(literal -2 binary64)))
Outputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(/ 1 (* J (- (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)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* J (cos (* -1/2 K)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 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)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 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 (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* 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))))))))))
(+ 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)))))))))
(/ 1/2 (* J (* l (cos (* -1/2 K)))))
(/ (+ (* -1/12 (/ (pow l 2) (* J (cos (* -1/2 K))))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))) l)
(/ (+ (* (pow l 2) (- (* 7/720 (/ (pow l 2) (* J (cos (* -1/2 K))))) (* 1/12 (/ 1 (* J (cos (* -1/2 K))))))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (+ (* -31/30240 (/ (pow l 2) (* J (cos (* -1/2 K))))) (* 7/720 (/ 1 (* J (cos (* -1/2 K))))))) (* 1/12 (/ 1 (* J (cos (* -1/2 K))))))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))) l)
(/ 1/2 (* J l))
(/ (+ (* -1/12 (/ (pow l 2) J)) (* 1/2 (/ 1 J))) l)
(/ (+ (* (pow l 2) (- (* 7/720 (/ (pow l 2) J)) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (+ (* -31/30240 (/ (pow l 2) J)) (* 7/720 (/ 1 J)))) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))
(+ 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)))))))))))
(+ (* 1/8 (/ (pow K 2) (* J (- (exp l) (/ 1 (exp l)))))) (/ 1 (* J (- (exp l) (/ 1 (exp l))))))
(+ (* (pow K 2) (+ (* 5/384 (/ (pow K 2) (* J (- (exp l) (/ 1 (exp l)))))) (* 1/8 (/ 1 (* J (- (exp l) (/ 1 (exp l)))))))) (/ 1 (* J (- (exp l) (/ 1 (exp l))))))
(+ (* (pow K 2) (+ (* (pow K 2) (+ (* 61/46080 (/ (pow K 2) (* J (- (exp l) (/ 1 (exp l)))))) (* 5/384 (/ 1 (* J (- (exp l) (/ 1 (exp l)))))))) (* 1/8 (/ 1 (* J (- (exp l) (/ 1 (exp l)))))))) (/ 1 (* J (- (exp l) (/ 1 (exp l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(* -1/4 (* J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(cos (* -1/2 K))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 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))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 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)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
9.0ms
J
@0
((/ 1 (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K)))) (+ (/ 1 (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K)))) U) (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K))) (/ (/ 1/2 (sinh l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)))
7.0ms
J
@inf
((/ 1 (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K)))) (+ (/ 1 (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K)))) U) (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K))) (/ (/ 1/2 (sinh l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)))
7.0ms
l
@inf
((/ 1 (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K)))) (+ (/ 1 (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K)))) U) (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K))) (/ (/ 1/2 (sinh l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)))
7.0ms
l
@-inf
((/ 1 (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K)))) (+ (/ 1 (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K)))) U) (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K))) (/ (/ 1/2 (sinh l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)))
7.0ms
J
@-inf
((/ 1 (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K)))) (+ (/ 1 (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K)))) U) (/ (/ (/ 1/2 (sinh l)) J) (cos (* -1/2 K))) (/ (/ 1/2 (sinh l)) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)))

simplify161.0ms (2.2%)

Memory
50.9MiB live, 50.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04052135
112802107
240871870
080771713
Stop Event
iter limit
node limit
Counts
109 → 107
Calls
Call 1
Inputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(/ 1 (* J (- (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)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* J (cos (* -1/2 K)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 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)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 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 (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* 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))))))))))
(+ 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)))))))))
(/ 1/2 (* J (* l (cos (* -1/2 K)))))
(/ (+ (* -1/12 (/ (pow l 2) (* J (cos (* -1/2 K))))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))) l)
(/ (+ (* (pow l 2) (- (* 7/720 (/ (pow l 2) (* J (cos (* -1/2 K))))) (* 1/12 (/ 1 (* J (cos (* -1/2 K))))))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (+ (* -31/30240 (/ (pow l 2) (* J (cos (* -1/2 K))))) (* 7/720 (/ 1 (* J (cos (* -1/2 K))))))) (* 1/12 (/ 1 (* J (cos (* -1/2 K))))))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))) l)
(/ 1/2 (* J l))
(/ (+ (* -1/12 (/ (pow l 2) J)) (* 1/2 (/ 1 J))) l)
(/ (+ (* (pow l 2) (- (* 7/720 (/ (pow l 2) J)) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (+ (* -31/30240 (/ (pow l 2) J)) (* 7/720 (/ 1 J)))) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))
(+ 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)))))))))))
(+ (* 1/8 (/ (pow K 2) (* J (- (exp l) (/ 1 (exp l)))))) (/ 1 (* J (- (exp l) (/ 1 (exp l))))))
(+ (* (pow K 2) (+ (* 5/384 (/ (pow K 2) (* J (- (exp l) (/ 1 (exp l)))))) (* 1/8 (/ 1 (* J (- (exp l) (/ 1 (exp l)))))))) (/ 1 (* J (- (exp l) (/ 1 (exp l))))))
(+ (* (pow K 2) (+ (* (pow K 2) (+ (* 61/46080 (/ (pow K 2) (* J (- (exp l) (/ 1 (exp l)))))) (* 5/384 (/ 1 (* J (- (exp l) (/ 1 (exp l)))))))) (* 1/8 (/ 1 (* J (- (exp l) (/ 1 (exp l)))))))) (/ 1 (* J (- (exp l) (/ 1 (exp l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(* -1/4 (* J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(cos (* -1/2 K))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 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))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 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)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
Outputs
(* 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)))
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)
(/ 1 (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(/.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(/ 1 (* J (- (exp l) (/ 1 (exp l)))))
(/.f64 (/.f64 #s(literal 1 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ 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)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) l) J)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(* J (cos (* -1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 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)
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(*.f64 (fma.f64 l (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U J)) J)
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 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 (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(*.f64 (fma.f64 l (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(*.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)
(* 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 (*.f64 (*.f64 l l) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) 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 (*.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)) (*.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/60 binary64) J (*.f64 #s(literal 1/2520 binary64) (*.f64 (*.f64 l l) J)))))) 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 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) l U)
(/ 1/2 (* J (* l (cos (* -1/2 K)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/ (+ (* -1/12 (/ (pow l 2) (* J (cos (* -1/2 K))))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))) l)
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 l J) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) l)
(/ (+ (* (pow l 2) (- (* 7/720 (/ (pow l 2) (* J (cos (* -1/2 K))))) (* 1/12 (/ 1 (* J (cos (* -1/2 K))))))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))) l)
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (fma.f64 (*.f64 #s(literal 7/720 binary64) l) l #s(literal -1/12 binary64))) (*.f64 l l) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (+ (* -31/30240 (/ (pow l 2) (* J (cos (* -1/2 K))))) (* 7/720 (/ 1 (* J (cos (* -1/2 K))))))) (* 1/12 (/ 1 (* J (cos (* -1/2 K))))))) (* 1/2 (/ 1 (* J (cos (* -1/2 K)))))) l)
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (*.f64 l l) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (fma.f64 (*.f64 #s(literal -31/30240 binary64) l) l #s(literal 7/720 binary64)) (/.f64 (/.f64 #s(literal -1/12 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) (*.f64 l l) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) l)
(/ 1/2 (* J l))
(/.f64 #s(literal 1/2 binary64) (*.f64 J l))
(/ (+ (* -1/12 (/ (pow l 2) J)) (* 1/2 (/ 1 J))) l)
(/.f64 (fma.f64 (/.f64 (*.f64 l l) J) #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) J)) l)
(/ (+ (* (pow l 2) (- (* 7/720 (/ (pow l 2) J)) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) (fma.f64 (*.f64 #s(literal 7/720 binary64) l) l #s(literal -1/12 binary64))) (*.f64 l l) (/.f64 #s(literal 1/2 binary64) J)) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (+ (* -31/30240 (/ (pow l 2) J)) (* 7/720 (/ 1 J)))) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) J) (fma.f64 (*.f64 #s(literal -31/30240 binary64) l) l #s(literal 7/720 binary64)) (/.f64 #s(literal -1/12 binary64) J)) (*.f64 l l) (/.f64 #s(literal 1/2 binary64) J)) 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 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)
(+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(*.f64 (fma.f64 J (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U l)) l)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U l)) l)
(+ 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 (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(*.f64 (fma.f64 J (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U l)) l)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(*.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))
(+ (* 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) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (*.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 (* 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U))
(+ (* 1/8 (/ (pow K 2) (* J (- (exp l) (/ 1 (exp l)))))) (/ 1 (* J (- (exp l) (/ 1 (exp l))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) K) K #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+ (* (pow K 2) (+ (* 5/384 (/ (pow K 2) (* J (- (exp l) (/ 1 (exp l)))))) (* 1/8 (/ 1 (* J (- (exp l) (/ 1 (exp l)))))))) (/ 1 (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (/.f64 (/.f64 (*.f64 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 (*.f64 #s(literal 5/384 binary64) K) K #s(literal 1/8 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+ (* (pow K 2) (+ (* (pow K 2) (+ (* 61/46080 (/ (pow K 2) (* J (- (exp l) (/ 1 (exp l)))))) (* 5/384 (/ 1 (* J (- (exp l) (/ 1 (exp l)))))))) (* 1/8 (/ 1 (* J (- (exp l) (/ 1 (exp l)))))))) (/ 1 (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) K) K #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 (*.f64 #s(literal 61/46080 binary64) K) K #s(literal 5/384 binary64))) (*.f64 K K)))
(+ 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 (-.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 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(fma.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/192 binary64) l (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) l)))) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))
(* -1/4 (* J l))
(*.f64 #s(literal -1/4 binary64) (*.f64 J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) l) J)
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/192 binary64) l (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) l)))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))
J
(+ J (* -1/8 (* J (pow K 2))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(* 1/192 (* J (* (pow K 4) l)))
(*.f64 (*.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) l) J) #s(literal 1/192 binary64))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(*.f64 (*.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 K K)) #s(literal 1/192 binary64))) (pow.f64 K #s(literal 4 binary64)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) l) K) (/.f64 J K) (fma.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 K #s(literal 4 binary64))) #s(literal 1/192 binary64)) (/.f64 U (pow.f64 K #s(literal 4 binary64))))) (pow.f64 K #s(literal 4 binary64)))
(* 1/192 (* J (* (pow K 2) l)))
(*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(*.f64 (*.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 K K)) #s(literal 1/192 binary64))) (*.f64 K K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(*.f64 (fma.f64 J (fma.f64 (*.f64 (*.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J l) U) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))

rewrite151.0ms (2%)

Memory
54.3MiB live, 54.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057345
085337
1295327
22041321
08875310
Stop Event
iter limit
node limit
iter limit
Counts
20 → 506
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) 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 (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
(cos.f64 (/.f64 K #s(literal -2 binary64)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 J #s(literal -1 binary64))) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) l)) J U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) l) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J l) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(fma.f64 (*.f64 J l) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 l (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 l (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 J l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(fma.f64 J (*.f64 l (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 J (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) l)) U)
(fma.f64 l (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 l (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(+.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))

eval89.0ms (1.2%)

Memory
59.3MiB live, 59.3MiB allocated
Compiler

Compiled 23 759 to 2 471 computations (89.6% saved)

prune43.0ms (0.6%)

Memory
35.7MiB live, 35.7MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New61715632
Fresh235
Picked415
Done000
Total62319642
Accuracy
100.0%
Counts
642 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.5%
(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)
80.7%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
64.4%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (/ 1/2 (sinh l)) J) (/.f64 #s(literal 1/2 binary64) (*.f64 J l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
64.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64) U))
47.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
47.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) J) (fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)) (*.f64 #s(literal 2 binary64) l) U))
54.4%
#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) #s(literal 2 binary64) U)))
54.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
47.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
47.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) l) (*.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
68.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
28.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
28.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)))
52.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 J (fma.f64 (*.f64 (*.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
24.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
48.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U))))))
57.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
48.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
26.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
Compiler

Compiled 1 623 to 1 152 computations (29% saved)

simplify97.0ms (1.3%)

Memory
26.9MiB live, 26.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l)
cost-diff0
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
cost-diff0
#s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J)
cost-diff0
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
cost-diff0
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
cost-diff0
(*.f64 J l)
cost-diff0
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
cost-diff0
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
cost-diff0
(*.f64 (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
074574
0104556
1213556
2461556
31173548
42672548
54485548
08003535
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 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(*.f64 J l)
J
l
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J l)
J
l
(fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))
(fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))
#s(literal 1/192 binary64)
(*.f64 K K)
K
#s(literal -1/4 binary64)
#s(literal 2 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J)
#s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(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))
(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))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
(*.f64 K K)
K
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
J
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l)
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
J
l
#s(literal 2 binary64)
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 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(*.f64 J l)
J
l
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64))) (*.f64 J l)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64))) (*.f64 J l))))
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64))) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64))) (*.f64 J l))
(*.f64 J l)
J
l
(fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/192 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) K) K #s(literal 2 binary64)))
(fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))
(fma.f64 (*.f64 #s(literal 1/192 binary64) K) K #s(literal -1/4 binary64))
#s(literal 1/192 binary64)
(*.f64 K K)
K
#s(literal -1/4 binary64)
#s(literal 2 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) l) U))
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(fma.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)
(*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J)
#s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(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))
(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))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
#s(literal -1/46080 binary64)
(*.f64 K K)
K
#s(literal 1/384 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
J
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) 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 J #s(literal 2 binary64))) l))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l)
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J l))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(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)
J
l
#s(literal 2 binary64)

localize228.0ms (3.1%)

Memory
73.6MiB live, 73.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l)
accuracy0.12109375
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
accuracy22.72735343471143
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
accuracy34.27973442833339
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64)))
accuracy0.0546875
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
accuracy0.12109375
(*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J)
accuracy22.72735343471143
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
accuracy29.405659040296037
#s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy4.314266676354065
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
accuracy21.10070702760539
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))
accuracy22.72735343471143
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
accuracy24.474596411539363
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))))
accuracy0
(*.f64 J l)
accuracy0.01171875
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
accuracy10.930156194743049
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
accuracy22.72735343471143
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
accuracy0
(sinh.f64 l)
accuracy0.0234375
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy0.0625
(*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy26.98129734885146
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
Samples
113.0ms200×0valid
65.0ms56×1valid
Compiler

Compiled 907 to 149 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-mult: 53.0ms (36.9% of total)
ival-cos: 31.0ms (21.6% of total)
ival-add: 19.0ms (13.2% of total)
ival-exp: 13.0ms (9.1% of total)
const: 12.0ms (8.4% of total)
adjust: 6.0ms (4.2% of total)
ival-div: 3.0ms (2.1% of total)
ival-sub: 2.0ms (1.4% of total)
ival-sinh: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series53.0ms (0.7%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
23 → 113
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 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(*.f64 J l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J)
#s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l)
(sinh.f64 l)
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
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)))
(* J l)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* J (* l (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* J (cos (* -1/2 K)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (* l (cos (* 1/2 K))))
(* 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)))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 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 (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 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)))))))))
(+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
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))))))))
(* (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)))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/2 (- (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 (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(+ U (* J (- (exp l) (/ 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))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(+ (* -1/8 (* J (* (pow K 2) l))) (* J l))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* 1/384 (* J (* (pow K 2) l))))))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) l))) (* 1/384 (* J l)))))))
1/384
(+ 1/384 (* -1/46080 (pow K 2)))
(cos (* -1/2 K))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 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))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 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)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
6.0ms
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) (+ (* (* J l) 2) U) (* J l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* (cos (* K 1/2)) J) l) 2) (* (* (cos (* K 1/2)) J) l) (sinh l) (+ (* -1/46080 (* K K)) 1/384) (* (cos (* K 1/2)) J))
6.0ms
J
@-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) (+ (* (* J l) 2) U) (* J l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* (cos (* K 1/2)) J) l) 2) (* (* (cos (* K 1/2)) J) l) (sinh l) (+ (* -1/46080 (* K K)) 1/384) (* (cos (* K 1/2)) J))
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) (+ (* (* J l) 2) U) (* J l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* (cos (* K 1/2)) J) l) 2) (* (* (cos (* K 1/2)) J) l) (sinh l) (+ (* -1/46080 (* K K)) 1/384) (* (cos (* K 1/2)) J))
5.0ms
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) (+ (* (* J l) 2) U) (* J l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* (cos (* K 1/2)) J) l) 2) (* (* (cos (* K 1/2)) J) l) (sinh l) (+ (* -1/46080 (* K K)) 1/384) (* (cos (* K 1/2)) J))
5.0ms
J
@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) (+ (* (* J l) 2) U) (* J l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* (cos (* K 1/2)) J) l) 2) (* (* (cos (* K 1/2)) J) l) (sinh l) (+ (* -1/46080 (* K K)) 1/384) (* (cos (* K 1/2)) J))

simplify158.0ms (2.1%)

Memory
48.8MiB live, 48.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04241987
113941923
243731758
082521602
Stop Event
iter limit
node limit
Counts
113 → 110
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)))
(* J l)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* J (* l (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* J (cos (* -1/2 K)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (* l (cos (* 1/2 K))))
(* 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)))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 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 (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 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)))))))))
(+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
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))))))))
(* (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)))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/2 (- (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 (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(+ U (* J (- (exp l) (/ 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))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(+ (* -1/8 (* J (* (pow K 2) l))) (* J l))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* 1/384 (* J (* (pow K 2) l))))))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) l))) (* 1/384 (* J l)))))))
1/384
(+ 1/384 (* -1/46080 (pow K 2)))
(cos (* -1/2 K))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(* -1/46080 (pow K 2))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 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))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 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)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 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 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(* J l)
(*.f64 J l)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l U)
(* J (* l (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(* J (cos (* -1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* l (cos (* 1/2 K))))
(*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.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 #s(literal 2 binary64) J) l)
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) l (/.f64 U J)) J)
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 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 (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) l (/.f64 U J)) J)
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (*.f64 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 (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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))) l 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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.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))))) 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)
(+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l U)
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)
(* (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)
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(*.f64 (fma.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U l)) l)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J) (/.f64 U l)) l)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1/2 binary64))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(*.f64 (fma.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J) (/.f64 U l)) 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)))))))))))
(+.f64 (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) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))))))
(- (+ (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 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.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)))))
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)))))))))))
(+.f64 (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) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))))))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(fma.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l U)
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+.f64 (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/192 binary64) l (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) l))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
J
(+ J (* -1/8 (* J (pow K 2))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) J) K) K (fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) J))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/192 binary64) l (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) l))))))
(+ (* -1/8 (* J (* (pow K 2) l))) (* J l))
(*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* 1/384 (* J (* (pow K 2) l))))))
(fma.f64 (*.f64 (*.f64 l (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)))) K) K (*.f64 J l))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) l))) (* 1/384 (* J l)))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 J l) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 l (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))))))
1/384
#s(literal 1/384 binary64)
(+ 1/384 (* -1/46080 (pow K 2)))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* 1/192 (* J (* (pow K 4) l)))
(*.f64 (*.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) l) J) #s(literal 1/192 binary64))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(*.f64 (*.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 K K)) #s(literal 1/192 binary64))) (pow.f64 K #s(literal 4 binary64)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) l) K) (/.f64 J K) (fma.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 K #s(literal 4 binary64))) #s(literal 1/192 binary64)) (/.f64 U (pow.f64 K #s(literal 4 binary64))))) (pow.f64 K #s(literal 4 binary64)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) l) K) (/.f64 J K) (*.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 K #s(literal 4 binary64))) #s(literal 1/192 binary64)))) (pow.f64 K #s(literal 4 binary64)))
(* -1/46080 (pow K 2))
(*.f64 #s(literal -1/46080 binary64) (*.f64 K K))
(* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l)
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(*.f64 (fma.f64 J (fma.f64 (*.f64 (*.f64 K K) l) (/.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J l) U) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J (fma.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) l) U)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))

rewrite162.0ms (2.2%)

Memory
54.3MiB live, 54.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074482
0104456
1404456
22468456
08374443
Stop Event
iter limit
node limit
iter limit
Counts
23 → 293
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 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(*.f64 J l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))))
#s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))
(*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J)
#s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l)
(sinh.f64 l)
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -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 -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 -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 -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 J #s(approx (cos (/ K -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 -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 U U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 J (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -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 -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 -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 -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 -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 -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -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 -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 -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 -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 -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U)) (fma.f64 (*.f64 J #s(approx (cos (/ K -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 -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 -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 -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 -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 -2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 l)) (*.f64 J U))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -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 -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 J #s(approx (cos (/ K -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 -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 (/.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 J (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (cos (/ K -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 -2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (*.f64 (*.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))))
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eval59.0ms (0.8%)

Memory
36.6MiB live, 36.6MiB allocated
Compiler

Compiled 18 614 to 1 796 computations (90.4% saved)

prune46.0ms (0.6%)

Memory
31.6MiB live, 31.6MiB allocated
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New37612388
Fresh9413
Picked145
Done011
Total38621407
Accuracy
100.0%
Counts
407 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.5%
(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)
80.7%
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
75.8%
(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)
73.9%
(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)
71.2%
(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)
64.4%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (/ 1/2 (sinh l)) J) (/.f64 #s(literal 1/2 binary64) (*.f64 J l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
64.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64) U))
48.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) J U))
36.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
47.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
54.4%
#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) #s(literal 2 binary64) U)))
54.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
68.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
28.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
28.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) J) #s(literal 2 binary64))))
26.0%
#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 (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
24.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
26.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
57.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
48.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
18.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
Compiler

Compiled 2 708 to 946 computations (65.1% saved)

regimes137.0ms (1.8%)

Memory
51.8MiB live, 51.8MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* (cos (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) J) (fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)) (*.f64 #s(literal 2 binary64) l) 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) 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 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) J 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 J (fma.f64 (*.f64 (*.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) J) #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 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
(+.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 #s(literal 1 binary64) (/.f64 #s(approx (/ (/ 1/2 (sinh l)) J) (/.f64 #s(literal 1/2 binary64) (*.f64 J l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (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 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) U)
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) 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 (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))) (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)))
(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:

15.0ms
(/.f64 K #s(literal 2 binary64))
14.0ms
U
14.0ms
J
14.0ms
K
14.0ms
l
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)

regimes122.0ms (1.6%)

Memory
47.2MiB live, 47.2MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* (cos (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) J) (fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)) (*.f64 #s(literal 2 binary64) l) 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) 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 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) J 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 J (fma.f64 (*.f64 (*.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) J) #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 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
(+.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 #s(literal 1 binary64) (/.f64 #s(approx (/ (/ 1/2 (sinh l)) J) (/.f64 #s(literal 1/2 binary64) (*.f64 J l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (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
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Calls

10 calls:

13.0ms
U
13.0ms
(/.f64 K #s(literal 2 binary64))
13.0ms
J
13.0ms
K
13.0ms
l
Results
AccuracySegmentsBranch
94.2%1J
94.2%1l
98.4%2K
94.2%1U
94.2%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
94.2%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
94.2%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
94.2%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
98.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
98.4%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes39.0ms (0.5%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* (cos (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) J) (fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)) (*.f64 #s(literal 2 binary64) l) 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) 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 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) J 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 J (fma.f64 (*.f64 (*.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) J) #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 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
(+.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 #s(literal 1 binary64) (/.f64 #s(approx (/ (/ 1/2 (sinh l)) J) (/.f64 #s(literal 1/2 binary64) (*.f64 J l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Calls

3 calls:

12.0ms
(/.f64 K #s(literal 2 binary64))
12.0ms
K
12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
96.6%2K
96.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
96.6%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes115.0ms (1.5%)

Memory
44.9MiB live, 44.9MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* (cos (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) J) (fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)) (*.f64 #s(literal 2 binary64) l) 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) 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 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) J 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 J (fma.f64 (*.f64 (*.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) J) #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 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
(+.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 #s(literal 1 binary64) (/.f64 #s(approx (/ (/ 1/2 (sinh l)) J) (/.f64 #s(literal 1/2 binary64) (*.f64 J l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) 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:

12.0ms
(/.f64 K #s(literal 2 binary64))
12.0ms
J
12.0ms
K
12.0ms
U
12.0ms
l
Results
AccuracySegmentsBranch
87.4%1J
98.0%5l
91.0%2U
91.0%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
91.3%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
91.4%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
87.4%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
94.3%2K
94.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
94.3%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes37.0ms (0.5%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* (cos (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) J) (fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)) (*.f64 #s(literal 2 binary64) l) 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) 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 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) J 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 J (fma.f64 (*.f64 (*.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) J) #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 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

3 calls:

12.0ms
K
11.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
91.4%2K
91.4%2(/.f64 K #s(literal 2 binary64))
93.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes85.0ms (1.1%)

Memory
33.8MiB live, 33.8MiB 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 (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* (cos (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) J) (fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)) (*.f64 #s(literal 2 binary64) l) 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) 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 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) J 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 J (fma.f64 (*.f64 (*.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) J) #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 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Outputs
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (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 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

8 calls:

11.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
U
11.0ms
l
11.0ms
K
10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
89.8%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
83.1%2U
90.2%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
89.4%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
84.6%2K
84.6%2(/.f64 K #s(literal 2 binary64))
91.4%4l
90.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 46 to 61 computations (-32.6% saved)

regimes41.0ms (0.5%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* (cos (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) J) (fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)) (*.f64 #s(literal 2 binary64) l) 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) 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 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) J 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 J (fma.f64 (*.f64 (*.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) J) #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 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) l) #s(literal 2 binary64) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

4 calls:

11.0ms
J
10.0ms
(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
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Results
AccuracySegmentsBranch
86.7%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
86.7%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
84.8%3J
88.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 24 to 32 computations (-33.3% saved)

regimes63.0ms (0.8%)

Memory
26.7MiB live, 26.7MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* (cos (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) J) (fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)) (*.f64 #s(literal 2 binary64) l) 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) 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 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) J 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (fma.f64 J (fma.f64 (*.f64 (*.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) K) K)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(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)
Calls

8 calls:

8.0ms
(/.f64 K #s(literal 2 binary64))
8.0ms
K
8.0ms
l
8.0ms
(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)
Results
AccuracySegmentsBranch
75.8%1K
75.8%1(/.f64 K #s(literal 2 binary64))
75.8%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
75.8%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
75.8%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
75.8%1l
75.8%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
83.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 51 to 65 computations (-27.5% saved)

regimes23.0ms (0.3%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* (cos (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) J) (fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)) (*.f64 #s(literal 2 binary64) l) 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (*.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) 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 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 #s(approx (+ (* -1/46080 (* K K)) 1/384) (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) J U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
(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)
Calls

3 calls:

7.0ms
U
7.0ms
J
7.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
73.9%1U
73.9%1J
81.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 6 to 15 computations (-150% saved)

regimes6.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* (cos (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (*.f64 (*.f64 J l) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (/ K -2)) J) (fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)) (*.f64 #s(literal 2 binary64) 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 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #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:

5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
78.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes43.0ms (0.6%)

Memory
21.8MiB live, 21.8MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* (cos (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
Calls

10 calls:

5.0ms
(/.f64 K #s(literal 2 binary64))
5.0ms
U
4.0ms
K
4.0ms
l
4.0ms
J
Results
AccuracySegmentsBranch
59.0%2J
59.1%2U
61.9%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
61.9%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
61.9%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
61.9%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
61.9%3l
57.2%1K
57.2%1(/.f64 K #s(literal 2 binary64))
64.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes5.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB 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 (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (*.f64 #s(approx (* (* (cos (* K 1/2)) J) l) (*.f64 l (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))) #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 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
Calls

1 calls:

4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
61.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes8.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) #s(approx (* (* J l) (+ (* (+ (* 1/192 (* K K)) -1/4) (* K K)) 2)) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
Calls

2 calls:

3.0ms
l
3.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
61.9%3l
60.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 5 to 11 computations (-120% saved)

regimes23.0ms (0.3%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
Calls

10 calls:

2.0ms
J
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
l
2.0ms
U
2.0ms
K
Results
AccuracySegmentsBranch
54.4%1K
54.4%1(/.f64 K #s(literal 2 binary64))
54.4%1J
54.4%1U
54.4%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
54.4%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
54.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
54.4%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
54.4%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
54.4%1l
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes20.0ms (0.3%)

Memory
14.1MiB live, 14.1MiB 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 (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) 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 (*.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:

2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms
J
2.0ms
K
Results
AccuracySegmentsBranch
54.0%1l
54.0%1K
54.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
54.0%1(/.f64 K #s(literal 2 binary64))
54.0%1J
54.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
54.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
54.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
54.0%1U
54.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes17.0ms (0.2%)

Memory
13.4MiB live, 13.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

10 calls:

2.0ms
J
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 K #s(literal 2 binary64))
2.0ms
l
2.0ms
U
Results
AccuracySegmentsBranch
18.9%1l
18.9%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
18.9%1K
18.9%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
18.9%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
18.9%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
18.9%1(/.f64 K #s(literal 2 binary64))
18.9%1J
18.9%1U
18.9%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4210932808153154e-8
2.9961124631205055e-5
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4210932808153154e-8
2.9961124631205055e-5
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.30760734154623737
0.3391086247452395
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.30760734154623737
0.3391086247452395
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.003104379571929068
0.01153120580805907
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.003104379571929068
0.01153120580805907
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.003104379571929068
0.01153120580805907
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.003104379571929068
0.01153120580805907
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.003104379571929068
0.01153120580805907
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.003104379571929068
0.01153120580805907
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.003104379571929068
0.01153120580805907
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch39.0ms (0.5%)

Memory
11.1MiB live, 11.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
10218523048389.592
2235015182117489.5
18.0ms
-4.780921999924496e+33
-2.4668158404455823e+31
Samples
24.0ms224×0valid
Compiler

Compiled 1 208 to 875 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 5.0ms (29.7% of total)
ival-exp: 3.0ms (17.8% of total)
ival-mult: 3.0ms (17.8% of total)
ival-div: 1.0ms (5.9% of total)
ival-add: 1.0ms (5.9% of total)
ival-sub: 1.0ms (5.9% of total)
ival-neg: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify34.0ms (0.5%)

Memory
20.3MiB live, 20.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141970
1172970
Stop Event
saturated
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 (/.f64 K #s(literal 2 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5764607523034235/18014398509481984 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 5764607523034235/18014398509481984 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) 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 -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #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 -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #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 (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 -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #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 (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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #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 -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
(if (<=.f64 l #s(literal -25000000000000001341540551098368 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 10500000000000 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) #s(literal 2 binary64) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
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 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U) (+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U) (+.f64 (*.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5764607523034235/18014398509481984 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 5764607523034235/18014398509481984 binary64)) (+.f64 (*.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5764607523034235/18014398509481984 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5764607523034235/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l U)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) 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 -1152921504606847/576460752303423488 binary64)) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #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 -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #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 (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 -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (*.f64 #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))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #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 (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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (*.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))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #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 -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (*.f64 #s(approx (* (sinh l) 2) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1152921504606847/576460752303423488 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 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
(if (<=.f64 l #s(literal -25000000000000001341540551098368 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 10500000000000 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) #s(literal 2 binary64) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))
(if (<=.f64 l #s(literal -25000000000000001341540551098368 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (*.f64 J l))))) (if (<=.f64 l #s(literal 10500000000000 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) #s(literal 2 binary64) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 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 (*.f64 J l) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #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 (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* J l) 2) U) (*.f64 (*.f64 #s(literal 2 binary64) J) 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 (+ (* (* J l) 2) U) (*.f64 (*.f64 J #s(literal 2 binary64)) l))))

soundness1.1s (15.1%)

Memory
19.0MiB live, 19.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03942039
112702003
238841746
082351614
01446
02338
17238
243338
0448537
04241987
113941923
243731758
082521602
0145742
1453742
21460632
33555632
08167580
057345
085337
1295327
22041321
08875310
04052135
112802107
240871870
080771713
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 648 to 818 computations (50.4% saved)

preprocess105.0ms (1.4%)

Memory
54.8MiB live, 54.8MiB allocated
Remove

(abs K)

Compiler

Compiled 2 066 to 412 computations (80.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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