Maksimov and Kolovsky, Equation (4)

Time bar (total: 11.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 17 to 16 computations (5.9% saved)

sample2.2s (19.5%)

Memory
54.4MiB live, 3 557.1MiB allocated; 578ms collecting garbage
Samples
862.0ms1 973×1valid
845.0ms6 283×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-exp: 564.0ms (40.5% of total)
ival-cos: 288.0ms (20.7% of total)
ival-mult: 198.0ms (14.2% of total)
adjust: 100.0ms (7.2% of total)
ival-div: 63.0ms (4.5% of total)
ival-sub: 61.0ms (4.4% of total)
ival-add: 57.0ms (4.1% of total)
ival-neg: 44.0ms (3.2% of total)
ival-true: 6.0ms (0.4% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain425.0ms (3.7%)

Memory
5.9MiB live, 444.2MiB allocated; 88ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1230-0-(-.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))))
0131(5.049032024585603e-84 3.1335886743213577e+301 1.0904743744941694e+158 1.1811550270615415e-7)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)))sensitivity1310
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation420
Confusion
Predicted +Predicted -
+380
-111107
Precision
0.2550335570469799
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3800
-1110107
Precision?
0.2550335570469799
Recall?
1.0
Freqs
test
numberfreq
0107
1125
224
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
166.0ms202×1valid
50.0ms44×2valid
30.0ms266×0valid
Compiler

Compiled 141 to 46 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-exp: 66.0ms (37.7% of total)
ival-cos: 57.0ms (32.5% of total)
adjust: 28.0ms (16% of total)
ival-mult: 9.0ms (5.1% of total)
ival-sub: 4.0ms (2.3% of total)
ival-div: 4.0ms (2.3% of total)
ival-add: 4.0ms (2.3% of total)
ival-neg: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess195.0ms (1.7%)

Memory
-22.5MiB live, 171.0MiB allocated; 24ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066216
1188214
2460214
31699214
01415
02315
14415
29115
328815
4147313
0964212
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.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; 0ms collecting garbage
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.2%
(+.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)

simplify102.0ms (0.9%)

Memory
8.6MiB live, 106.3MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff0
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff1
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff2
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
02361
14461
29161
328861
4147353
0964252
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

localize98.0ms (0.9%)

Memory
8.5MiB live, 101.0MiB allocated; 7ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(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)
accuracy0.0546875
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy28.596715814956134
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
62.0ms101×1valid
15.0ms133×0valid
12.0ms22×2valid
Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-exp: 49.0ms (66.4% of total)
ival-cos: 8.0ms (10.8% of total)
adjust: 5.0ms (6.8% of total)
ival-mult: 5.0ms (6.8% of total)
ival-sub: 2.0ms (2.7% of total)
ival-add: 2.0ms (2.7% of total)
ival-div: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% 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
-10.5MiB live, 35.2MiB allocated; 4ms collecting garbage
Counts
5 → 40
Calls
Call 1
Inputs
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.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))))
(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)))))
(* 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 (* 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)))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 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))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
3.0ms
J
@inf
((- (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)))) (cos (/ K 2)))
2.0ms
J
@0
((- (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)))) (cos (/ K 2)))
2.0ms
l
@0
((- (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)))) (cos (/ K 2)))
2.0ms
K
@inf
((- (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)))) (cos (/ K 2)))
2.0ms
J
@-inf
((- (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)))) (cos (/ K 2)))

simplify218.0ms (1.9%)

Memory
6.6MiB live, 246.6MiB allocated; 31ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145756
1552756
22179646
35634646
08490597
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)))))
(* 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 (* 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)))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 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))))
(+ 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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* 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 (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (*.f64 l l))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) l)
(* 2 (* J l))
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) l))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J) 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 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64)) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) J (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J) J) U))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J) 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 K K) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 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))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) J (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J) 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 (-.f64 (*.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 (pow.f64 K #s(literal 4 binary64)) #s(literal -1/46080 binary64) (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64))) (*.f64 K K) #s(literal 1 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (neg.f64 U))) #s(literal 1 binary64)))

rewrite202.0ms (1.8%)

Memory
34.5MiB live, 341.5MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
02338
17438
250638
3596738
0812437
Stop Event
iter limit
node limit
iter limit
Counts
5 → 270
Calls
Call 1
Inputs
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.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))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) l))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) l)))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) l))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) l))) (+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))) (pow.f64 (exp.f64 l) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) l))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) l)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64)) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))))
(*.f64 (cosh.f64 l) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (cosh.f64 l)))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 l)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 l))) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 l)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 l)))) (fma.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 l) (cosh.f64 l)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 l))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))))) (+.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (-.f64 (exp.f64 l) (cosh.f64 l))) (pow.f64 (sinh.f64 l) #s(literal 2 binary64))) (+.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (sinh.f64 (neg.f64 l))))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (-.f64 (exp.f64 l) (cosh.f64 l))) (pow.f64 (sinh.f64 l) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (sinh.f64 l)))
(/.f64 (-.f64 (pow.f64 (cosh.f64 l) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))) (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))))) (-.f64 (cosh.f64 l) (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64)))) (fma.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (-.f64 (exp.f64 l) (cosh.f64 l)) (fma.f64 (sinh.f64 l) (sinh.f64 l) (*.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (sinh.f64 (neg.f64 l))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 l)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 l)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 l)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 l)) (fma.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 l)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 l)) (*.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 l)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 l))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) (*.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 l) #s(literal 3 binary64))) (fma.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (-.f64 (exp.f64 l) (cosh.f64 l)) (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) (sinh.f64 l)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 l) (cosh.f64 l) (-.f64 (*.f64 (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))) (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l)))) (*.f64 (cosh.f64 l) (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l)))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (pow.f64 (sinh.f64 l) #s(literal 2 binary64))) (-.f64 (sinh.f64 l) (sinh.f64 l)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64)) (pow.f64 (sinh.f64 l) #s(literal 3 binary64))) (fma.f64 (sinh.f64 l) (sinh.f64 l) (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (pow.f64 (sinh.f64 l) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (sinh.f64 l) #s(literal 2 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) l))))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) l))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (*.f64 (cosh.f64 l) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (*.f64 (cosh.f64 l) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64)) (pow.f64 (cosh.f64 l) #s(literal 3 binary64))) (fma.f64 (sinh.f64 l) (exp.f64 l) (pow.f64 (cosh.f64 l) #s(literal 2 binary64)))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) l)) (*.f64 (cosh.f64 l) (sinh.f64 l))) (-.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (pow.f64 (sinh.f64 l) #s(literal 3 binary64))))) (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) l)) (*.f64 (cosh.f64 l) (sinh.f64 l))) (fma.f64 (sinh.f64 l) (exp.f64 l) (pow.f64 (cosh.f64 l) #s(literal 2 binary64)))))
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(*.f64 (/.f64 J #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) l))) (cosh.f64 l)))
(*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) l)) (/.f64 J (cosh.f64 l)))
(*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) l))) (/.f64 J (*.f64 (cosh.f64 l) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) l))) (/.f64 J (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))))
(*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))
(*.f64 J (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) l))) J) #s(literal 2 binary64)) (cosh.f64 l))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) l)))) J) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) l)))) J) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 J (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) l))))) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 J (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) l))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) l))) J)) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) l))) J)) (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) l))) J) (*.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) l))) J) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) J (*.f64 (sinh.f64 l) J))
(fma.f64 (cosh.f64 l) J (*.f64 (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))) J))
(fma.f64 (sinh.f64 l) J (*.f64 (sinh.f64 l) J))
(fma.f64 J (-.f64 (exp.f64 l) (cosh.f64 l)) (*.f64 (sinh.f64 l) J))
(fma.f64 J (cosh.f64 l) (*.f64 J (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (sinh.f64 l) (*.f64 (sinh.f64 l) J))
(+.f64 (*.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) J) (*.f64 (sinh.f64 l) J))
(+.f64 (*.f64 (cosh.f64 l) J) (*.f64 (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))) J))
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (cosh.f64 l))) (*.f64 (sinh.f64 l) J))
(+.f64 (*.f64 J (cosh.f64 l)) (*.f64 J (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 (*.f64 (sinh.f64 l) J) (*.f64 (sinh.f64 l) J))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))))))
(fma.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))) (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))) (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))) (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))) (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(fma.f64 (sin.f64 (/.f64 (*.f64 (neg.f64 K) #s(literal 2 binary64)) #s(literal -4 binary64))) (cos.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -4 binary64))) (*.f64 (cos.f64 (/.f64 (*.f64 (neg.f64 K) #s(literal 2 binary64)) #s(literal -4 binary64))) (sin.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -4 binary64)))))
(fma.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(fma.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))))
(sin.f64 (+.f64 (-.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)))
(sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 K (PI.f64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 K (PI.f64)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 K (PI.f64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 K (PI.f64)) #s(literal 2 binary64))))))
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (-.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (/.f64 (+.f64 K (neg.f64 (PI.f64))) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))) (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))) (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))) (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 K #s(literal 2 binary64))) (pow.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (neg.f64 K) #s(literal 2 binary64)) #s(literal -4 binary64))) (cos.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -4 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 (neg.f64 K) #s(literal 2 binary64)) #s(literal -4 binary64))) (sin.f64 (/.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) #s(literal -4 binary64)))))
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (cos.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) K) #s(literal 4 binary64))) (sin.f64 (/.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(+.f64 (*.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))))

eval204.0ms (1.8%)

Memory
-14.4MiB live, 113.2MiB allocated; 58ms collecting garbage
Compiler

Compiled 10 922 to 1 344 computations (87.7% saved)

prune20.0ms (0.2%)

Memory
-6.5MiB live, 40.2MiB allocated; 8ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New29410304
Fresh000
Picked101
Done000
Total29510305
Accuracy
100.0%
Counts
305 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
47.9%
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) l))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) U)
100.0%
(+.f64 (*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
94.4%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.5%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
88.4%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
86.2%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
75.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
86.2%
#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 496 to 392 computations (21% saved)

simplify312.0ms (2.7%)

Memory
63.2MiB live, 327.9MiB allocated; 180ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 l)
cost-diff0
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
cost-diff0
#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))
cost-diff1
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff0
#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))
cost-diff0
(*.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)))
cost-diff0
(*.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))))
cost-diff1
(+.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)
cost-diff0
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
cost-diff0
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
cost-diff0
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff1
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff0
(*.f64 #s(literal 2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
cost-diff0
(*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))
cost-diff0
(*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l)))
cost-diff0
(*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff1
(+.f64 (*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052429
089429
1182429
2520429
32134429
08493412
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l)))
J
(*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))
(*.f64 (cosh.f64 l) #s(literal 2 binary64))
(cosh.f64 l)
l
#s(literal 2 binary64)
(tanh.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
U
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(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 #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 #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 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
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 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
J
U
Outputs
(+.f64 (*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (tanh.f64 l) J)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)) U)
(*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (tanh.f64 l) J)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l)))
(*.f64 (*.f64 (*.f64 (tanh.f64 l) J) #s(literal 2 binary64)) (cosh.f64 l))
J
(*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))
(*.f64 (*.f64 (tanh.f64 l) #s(literal 2 binary64)) (cosh.f64 l))
(*.f64 (cosh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 l))
(cosh.f64 l)
l
#s(literal 2 binary64)
(tanh.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 #s(literal 2 binary64) J) l) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (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) J) l) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(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 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #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 #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 #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 #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 #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 #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 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (fma.f64 (sinh.f64 l) #s(literal 2 binary64) #s(literal 0 binary64)) J U))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(fma.f64 (fma.f64 (sinh.f64 l) #s(literal 2 binary64) #s(literal 0 binary64)) J U)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(fma.f64 (sinh.f64 l) #s(literal 2 binary64) #s(literal 0 binary64))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
J
U

localize340.0ms (3%)

Memory
-31.9MiB live, 592.2MiB allocated; 209ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (neg.f64 l))
accuracy0.0
(exp.f64 l)
accuracy11.881325904165866
#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))
accuracy28.596715814956134
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
accuracy0.046875
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
accuracy0.0546875
(*.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))))
accuracy0.078125
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
accuracy6.400828463734493
#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))
accuracy0.0546875
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.11328125
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy4.016945850185875
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy9.280221262675934
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) K)
accuracy0.0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy0.05078125
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
accuracy23.632079306435674
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
accuracy0.0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy0.00390625
(+.f64 (*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy0.0078125
(tanh.f64 l)
accuracy0.0546875
(*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Samples
177.0ms101×1valid
63.0ms133×0valid
26.0ms22×2valid
Compiler

Compiled 330 to 44 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-mult: 35.0ms (28% of total)
ival-exp: 24.0ms (19.2% of total)
adjust: 17.0ms (13.6% of total)
ival-cos: 15.0ms (12% of total)
ival-add: 14.0ms (11.2% of total)
const: 10.0ms (8% of total)
ival-cosh: 4.0ms (3.2% of total)
ival-sub: 2.0ms (1.6% of total)
ival-div: 2.0ms (1.6% of total)
ival-tanh: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series155.0ms (1.4%)

Memory
29.4MiB live, 177.3MiB allocated; 58ms collecting garbage
Counts
29 → 111
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l)))
(*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 (*.f64 J (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 #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 #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 #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 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#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 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(exp.f64 l)
(tanh.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(exp.f64 (neg.f64 l))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 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))))))
(* 2 (* J l))
(* 2 J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (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))))))))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
l
(* l (+ 1 (* -1/3 (pow l 2))))
(* l (+ 1 (* (pow l 2) (- (* 2/15 (pow l 2)) 1/3))))
(* l (+ 1 (* (pow l 2) (- (* (pow l 2) (+ 2/15 (* -17/315 (pow l 2)))) 1/3))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
2
(+ 2 (* 1/3 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(- (exp l) (/ 1 (exp l)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(- (exp l) (exp (neg l)))
(exp l)
(/ (- (exp l) (/ 1 (exp l))) (+ (exp l) (/ 1 (exp l))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(exp (neg l))
(+ 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))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(- (exp l) (exp (* -1 l)))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(exp (* -1 l))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ (* -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 (+ (* -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))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -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))))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
59.0ms
J
@-inf
((+ (* (* J (* (* (cosh l) 2) (tanh l))) (cos (/ K 2))) U) (* (* J (* (* (cosh l) 2) (tanh l))) (cos (/ K 2))) (* J (* (* (cosh l) 2) (tanh l))) (* (* (cosh l) 2) (tanh l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 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))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (tanh l) (cos (/ K 2)) (cos (* -1/2 K)) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))
28.0ms
K
@0
((+ (* (* J (* (* (cosh l) 2) (tanh l))) (cos (/ K 2))) U) (* (* J (* (* (cosh l) 2) (tanh l))) (cos (/ K 2))) (* J (* (* (cosh l) 2) (tanh l))) (* (* (cosh l) 2) (tanh l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 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))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (tanh l) (cos (/ K 2)) (cos (* -1/2 K)) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))
22.0ms
J
@0
((+ (* (* J (* (* (cosh l) 2) (tanh l))) (cos (/ K 2))) U) (* (* J (* (* (cosh l) 2) (tanh l))) (cos (/ K 2))) (* J (* (* (cosh l) 2) (tanh l))) (* (* (cosh l) 2) (tanh l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 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))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (tanh l) (cos (/ K 2)) (cos (* -1/2 K)) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))
13.0ms
l
@-inf
((+ (* (* J (* (* (cosh l) 2) (tanh l))) (cos (/ K 2))) U) (* (* J (* (* (cosh l) 2) (tanh l))) (cos (/ K 2))) (* J (* (* (cosh l) 2) (tanh l))) (* (* (cosh l) 2) (tanh l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 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))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (tanh l) (cos (/ K 2)) (cos (* -1/2 K)) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))
7.0ms
l
@inf
((+ (* (* J (* (* (cosh l) 2) (tanh l))) (cos (/ K 2))) U) (* (* J (* (* (cosh l) 2) (tanh l))) (cos (/ K 2))) (* J (* (* (cosh l) 2) (tanh l))) (* (* (cosh l) 2) (tanh l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (* (* J (+ (* (* l l) 1/3) 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))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (exp l) (tanh l) (cos (/ K 2)) (cos (* -1/2 K)) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (exp (neg l)))

simplify180.0ms (1.6%)

Memory
-7.8MiB live, 220.5MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03311728
112521718
244061712
086731598
Stop Event
iter limit
node limit
Counts
111 → 109
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 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))))))
(* 2 (* J l))
(* 2 J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (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))))))))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
l
(* l (+ 1 (* -1/3 (pow l 2))))
(* l (+ 1 (* (pow l 2) (- (* 2/15 (pow l 2)) 1/3))))
(* l (+ 1 (* (pow l 2) (- (* (pow l 2) (+ 2/15 (* -17/315 (pow l 2)))) 1/3))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
2
(+ 2 (* 1/3 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(- (exp l) (/ 1 (exp l)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(- (exp l) (exp (neg l)))
(exp l)
(/ (- (exp l) (/ 1 (exp l))) (+ (exp l) (/ 1 (exp l))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(exp (neg l))
(+ 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))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(- (exp l) (exp (* -1 l)))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(exp (* -1 l))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ (* -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 (+ (* -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))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -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))))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(* 2 (* J l))
(*.f64 (*.f64 l J) #s(literal 2 binary64))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
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(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) J #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) J #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J 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) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (neg.f64 U))) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (neg.f64 U))) #s(literal 1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (neg.f64 U)) J) #s(literal 1 binary64)))

rewrite252.0ms (2.2%)

Memory
-2.8MiB live, 380.6MiB allocated; 85ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052358
089337
1300322
22073322
08414317
Stop Event
iter limit
node limit
iter limit
Counts
29 → 621
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l)))
(*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
(*.f64 (*.f64 J (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 #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 #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 #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 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#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 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(exp.f64 l)
(tanh.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(exp.f64 (neg.f64 l))
Outputs
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 U U)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) U))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) U)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) U) (*.f64 U U))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) U) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) U)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 U #s(literal 3 binary64)))) (*.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) U)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 J U)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 U U)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) U))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 J U))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) J)) (tanh.f64 l) U)
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) J) (*.f64 (tanh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal -2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) U)
(fma.f64 J (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) U)
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) U)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (pow.f64 (sinh.f64 l) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 l) (cosh.f64 l) (fma.f64 (sinh.f64 l) (sinh.f64 l) (*.f64 (cosh.f64 l) (sinh.f64 l))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cosh.f64 l) (cosh.f64 l) (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (cosh.f64 l) (sinh.f64 (neg.f64 l)))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 l))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 l))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 l))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 l))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (pow.f64 (sinh.f64 l) #s(literal 3 binary64))) (fma.f64 (cosh.f64 l) (cosh.f64 l) (fma.f64 (sinh.f64 l) (sinh.f64 l) (*.f64 (cosh.f64 l) (sinh.f64 l)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 l) (cosh.f64 l) (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (cosh.f64 l) (sinh.f64 (neg.f64 l))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 l)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 l))))
(/.f64 #s(literal 1 binary64) (exp.f64 l))
(-.f64 (/.f64 (pow.f64 (cosh.f64 l) #s(literal 2 binary64)) (exp.f64 l)) (/.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (exp.f64 l)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (fma.f64 (cosh.f64 l) (cosh.f64 l) (fma.f64 (sinh.f64 l) (sinh.f64 l) (*.f64 (cosh.f64 l) (sinh.f64 l))))) (/.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64)) (fma.f64 (cosh.f64 l) (cosh.f64 l) (fma.f64 (sinh.f64 l) (sinh.f64 l) (*.f64 (cosh.f64 l) (sinh.f64 l))))))
(-.f64 (cosh.f64 l) (sinh.f64 l))
(exp.f64 (*.f64 l #s(literal -1 binary64)))
(exp.f64 (neg.f64 l))
(+.f64 (/.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (fma.f64 (cosh.f64 l) (cosh.f64 l) (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (cosh.f64 l) (sinh.f64 (neg.f64 l)))))) (/.f64 (neg.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64))) (fma.f64 (cosh.f64 l) (cosh.f64 l) (-.f64 (pow.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (cosh.f64 l) (sinh.f64 (neg.f64 l)))))))
(+.f64 (sinh.f64 (neg.f64 l)) (cosh.f64 l))
(+.f64 (cosh.f64 l) (sinh.f64 (neg.f64 l)))

eval100.0ms (0.9%)

Memory
14.3MiB live, 240.0MiB allocated; 25ms collecting garbage
Compiler

Compiled 29 879 to 3 412 computations (88.6% saved)

prune33.0ms (0.3%)

Memory
-3.7MiB live, 91.2MiB allocated; 14ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New67216688
Fresh415
Picked505
Done000
Total68117698
Accuracy
100.0%
Counts
698 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
57.8%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
63.3%
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
61.9%
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
53.8%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
59.2%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
57.9%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
54.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
81.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J)) l U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U))
69.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
52.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
41.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
65.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
70.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)))))
Compiler

Compiled 1 178 to 876 computations (25.6% saved)

simplify121.0ms (1.1%)

Memory
9.1MiB live, 198.6MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l)
cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U))
cost-diff0
#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))
cost-diff0
(*.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)))
cost-diff0
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
cost-diff1
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
cost-diff0
#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))
cost-diff0
(*.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)))
cost-diff0
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))
cost-diff1
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
cost-diff0
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
cost-diff0
(sinh.f64 l)
cost-diff0
(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64))))
cost-diff0
(*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060596
097596
1192596
2529596
31736596
45818596
08320578
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
(*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(sinh.f64 l)
l
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(*.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)))
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))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
J
#s(approx (- (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))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K)
(*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K)
(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)
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)) l) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
l
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
U
Outputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
(fma.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))) U)
(*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))
(sinh.f64 l)
l
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(fma.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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 (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 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #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 (*.f64 l l) #s(literal 1/60 binary64) #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 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(fma.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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 (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 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #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 (*.f64 l l) #s(literal 1/60 binary64) #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 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K)
(*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K)
(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)
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)) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) l)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
l
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
J
U

localize305.0ms (2.7%)

Memory
21.3MiB live, 397.0MiB allocated; 80ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy0.05078125
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U)
accuracy0.09765625
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l)
accuracy23.632079306435674
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U))
accuracy0.12109375
(*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K)
accuracy0.2109375
(*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K)
accuracy6.400828463734493
#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))
accuracy32.0612509549519
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy0.0546875
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))
accuracy0.078125
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
accuracy6.400828463734493
#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))
accuracy31.88412731802038
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy0.0
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
accuracy0.0
(*.f64 #s(literal 2 binary64) l)
accuracy11.881325904165866
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
accuracy23.654142578268782
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
accuracy0.0
(sinh.f64 l)
accuracy0.0
(cos.f64 (/.f64 K #s(literal -2 binary64)))
accuracy0.0234375
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
accuracy0.0546875
(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64))))
Samples
115.0ms101×1valid
105.0ms133×0valid
39.0ms22×2valid
Compiler

Compiled 394 to 59 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-mult: 51.0ms (24% of total)
const: 46.0ms (21.7% of total)
adjust: 32.0ms (15.1% of total)
ival-exp: 27.0ms (12.7% of total)
ival-add: 25.0ms (11.8% of total)
ival-cos: 21.0ms (9.9% of total)
ival-sub: 4.0ms (1.9% of total)
ival-div: 3.0ms (1.4% of total)
ival-sinh: 2.0ms (0.9% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series108.0ms (0.9%)

Memory
-3.2MiB live, 87.8MiB allocated; 12ms collecting garbage
Counts
24 → 116
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
(*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(sinh.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(*.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)))
#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))
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) 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) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K)
(*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K)
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 (* J (- (exp l) (exp (neg l)))))
(+ U (* 2 (* J l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(+ U (* 2 (* J (* l (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)))) (/ U J)))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* 2 (* J l))
(* J (+ (* 2 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 (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 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)))))))))
(* l (cos (* -1/2 K)))
(* l (+ (cos (* -1/2 K)) (* 1/6 (* (pow l 2) (cos (* -1/2 K))))))
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/120 (* (pow l 2) (cos (* -1/2 K)))) (* 1/6 (cos (* -1/2 K)))))))
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/6 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/5040 (* (pow l 2) (cos (* -1/2 K)))) (* 1/120 (cos (* -1/2 K)))))))))
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))))))))
(+ 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 (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(* 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))))))))
(* l (cos (* 1/2 K)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 J) (/ U l)))
(- (exp l) (exp (neg l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(* -1 (* l (+ (* -2 J) (* -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 (* 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 (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)))
(+ (* -1/16 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/2 (- (exp l) (/ 1 (exp l)))))
(+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* 1/768 (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))
(+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/92160 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/768 (- (exp l) (/ 1 (exp 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))))))))))
(+ 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))))))))
(+ l (* -1/8 (* (pow K 2) l)))
(+ l (* (pow K 2) (+ (* -1/8 l) (* 1/384 (* (pow K 2) l)))))
(+ l (* (pow K 2) (+ (* -1/8 l) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) l)) (* 1/384 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)))
(* 1/384 K)
(* K (+ 1/384 (* -1/46080 (pow K 2))))
(* 1/384 (pow K 2))
(* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))
(cos (* 1/2 K))
(cos (* -1/2 K))
(* -1/46080 (pow K 3))
(* (pow K 3) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1/46080 (pow K 4))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1 (* (pow K 3) (- 1/46080 (* 1/384 (/ 1 (pow K 2))))))
(* 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 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (* 2 (/ (* J 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 (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
63.0ms
J
@-inf
((+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* 2 l) J) U) (* 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)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) l) (* 2 J)) U) (* (cos (* 1/2 K)) l) (cos (* 1/2 K)) (cos (/ K -2)) (cos (/ K 2)) (+ (* 1/60 (* l l)) 1/3) (cos (/ K 2)) (* (+ (* -1/46080 (* K K)) 1/384) K) (* (* (+ (* -1/46080 (* K K)) 1/384) K) K))
12.0ms
U
@0
((+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* 2 l) J) U) (* 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)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) l) (* 2 J)) U) (* (cos (* 1/2 K)) l) (cos (* 1/2 K)) (cos (/ K -2)) (cos (/ K 2)) (+ (* 1/60 (* l l)) 1/3) (cos (/ K 2)) (* (+ (* -1/46080 (* K K)) 1/384) K) (* (* (+ (* -1/46080 (* K K)) 1/384) K) K))
5.0ms
l
@inf
((+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* 2 l) J) U) (* 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)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) l) (* 2 J)) U) (* (cos (* 1/2 K)) l) (cos (* 1/2 K)) (cos (/ K -2)) (cos (/ K 2)) (+ (* 1/60 (* l l)) 1/3) (cos (/ K 2)) (* (+ (* -1/46080 (* K K)) 1/384) K) (* (* (+ (* -1/46080 (* K K)) 1/384) K) K))
5.0ms
l
@-inf
((+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* 2 l) J) U) (* 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)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) l) (* 2 J)) U) (* (cos (* 1/2 K)) l) (cos (* 1/2 K)) (cos (/ K -2)) (cos (/ K 2)) (+ (* 1/60 (* l l)) 1/3) (cos (/ K 2)) (* (+ (* -1/46080 (* K K)) 1/384) K) (* (* (+ (* -1/46080 (* K K)) 1/384) K) K))
3.0ms
l
@0
((+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (* 2 l) J) U) (* 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)))) (cos (/ K 2))) U) (+ (* (* (cos (* 1/2 K)) l) (* 2 J)) U) (* (cos (* 1/2 K)) l) (cos (* 1/2 K)) (cos (/ K -2)) (cos (/ K 2)) (+ (* 1/60 (* l l)) 1/3) (cos (/ K 2)) (* (+ (* -1/46080 (* K K)) 1/384) K) (* (* (+ (* -1/46080 (* K K)) 1/384) K) K))

simplify164.0ms (1.4%)

Memory
4.3MiB live, 334.2MiB allocated; 35ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04152045
116211967
263491950
080971819
Stop Event
iter limit
node limit
Counts
116 → 114
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 (* J (- (exp l) (exp (neg l)))))
(+ U (* 2 (* J l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(+ U (* 2 (* J (* l (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)))) (/ U J)))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* 2 (* J l))
(* J (+ (* 2 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 (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 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)))))))))
(* l (cos (* -1/2 K)))
(* l (+ (cos (* -1/2 K)) (* 1/6 (* (pow l 2) (cos (* -1/2 K))))))
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/120 (* (pow l 2) (cos (* -1/2 K)))) (* 1/6 (cos (* -1/2 K)))))))
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/6 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/5040 (* (pow l 2) (cos (* -1/2 K)))) (* 1/120 (cos (* -1/2 K)))))))))
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))))))))
(+ 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 (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(* 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))))))))
(* l (cos (* 1/2 K)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 J) (/ U l)))
(- (exp l) (exp (neg l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(* -1 (* l (+ (* -2 J) (* -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 (* 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 (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)))
(+ (* -1/16 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/2 (- (exp l) (/ 1 (exp l)))))
(+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* 1/768 (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))
(+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/92160 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/768 (- (exp l) (/ 1 (exp 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))))))))))
(+ 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))))))))
(+ l (* -1/8 (* (pow K 2) l)))
(+ l (* (pow K 2) (+ (* -1/8 l) (* 1/384 (* (pow K 2) l)))))
(+ l (* (pow K 2) (+ (* -1/8 l) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) l)) (* 1/384 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)))
(* 1/384 K)
(* K (+ 1/384 (* -1/46080 (pow K 2))))
(* 1/384 (pow K 2))
(* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))
(cos (* 1/2 K))
(cos (* -1/2 K))
(* -1/46080 (pow K 3))
(* (pow K 3) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1/46080 (pow K 4))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1 (* (pow K 3) (- 1/46080 (* 1/384 (/ 1 (pow K 2))))))
(* 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 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (* 2 (/ (* J 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 (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J 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 (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) 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)
(+ 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)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(*.f64 (-.f64 (+.f64 (/.f64 U J) (exp.f64 l)) (exp.f64 (neg.f64 l))) J)
(* 2 (* J l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* 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)))))
(neg.f64 (*.f64 (neg.f64 J) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(neg.f64 (*.f64 (neg.f64 J) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (-.f64 (+.f64 (/.f64 U J) (exp.f64 l)) (exp.f64 (neg.f64 l)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 #s(literal -2 binary64) l (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 #s(literal -2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (neg.f64 U) J)))
(+ 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 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) 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 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/60 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal 1/3 binary64) J) (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 (*.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)
(* 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 (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)
(* l (cos (* -1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l)
(* l (+ (cos (* -1/2 K)) (* 1/6 (* (pow l 2) (cos (* -1/2 K))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 l l) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/120 (* (pow l 2) (cos (* -1/2 K)))) (* 1/6 (cos (* -1/2 K)))))))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64))) (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l)
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/6 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/5040 (* (pow l 2) (cos (* -1/2 K)))) (* 1/120 (cos (* -1/2 K)))))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 l l) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64))))) l)
l
(* l (+ 1 (* 1/6 (pow l 2))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/6 binary64) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) l)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) 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 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/60 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l 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 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.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) (+ (* 1/60 (* 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 (fma.f64 (*.f64 #s(literal 1/60 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 l l))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) J) (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (*.f64 #s(literal 1/60 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 l l) (*.f64 (*.f64 #s(literal 1/3 binary64) J) (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))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 #s(literal 1/60 binary64) J)) l) l (*.f64 #s(literal 1/3 binary64) J)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(* 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)
(* l (cos (* 1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(- (exp l) (exp (neg 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)
(* 1/60 (pow l 2))
(*.f64 #s(literal 1/60 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64)) 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)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal -2 binary64) J (/.f64 U (neg.f64 l))) (neg.f64 l))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U (neg.f64 l))) (neg.f64 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 (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 K K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(fma.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (-.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 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(fma.f64 (fma.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal -1/46080 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64)))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ (* -1/16 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/2 (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/16 binary64) (*.f64 K K) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* 1/768 (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/768 binary64) (*.f64 K K) #s(literal -1/16 binary64))) (*.f64 K K) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/92160 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/768 (- (exp l) (/ 1 (exp l)))))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/16 binary64) (*.f64 K K) #s(literal 1/2 binary64)) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/92160 binary64) (*.f64 K K) #s(literal 1/768 binary64)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 K K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) J) (*.f64 K K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(+ l (* -1/8 (* (pow K 2) l)))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) l)
(+ l (* (pow K 2) (+ (* -1/8 l) (* 1/384 (* (pow K 2) l)))))
(fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)
(+ l (* (pow K 2) (+ (* -1/8 l) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) l)) (* 1/384 l))))))
(fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 #s(literal -1/8 binary64) l)) (*.f64 K K) l)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(* 1/384 K)
(*.f64 #s(literal 1/384 binary64) K)
(* K (+ 1/384 (* -1/46080 (pow K 2))))
(*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K)
(* 1/384 (pow K 2))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
(* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K)
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* -1/46080 (pow K 3))
(*.f64 (pow.f64 K #s(literal 3 binary64)) #s(literal -1/46080 binary64))
(* (pow K 3) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) (pow.f64 K #s(literal 3 binary64)))
(* -1/46080 (pow K 4))
(*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal -1/46080 binary64))
(* (pow K 4) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (pow.f64 K #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)))
(* -1 (* (pow K 3) (- 1/46080 (* 1/384 (/ 1 (pow K 2))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))) (pow.f64 K #s(literal 3 binary64)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) J #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) J #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J 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 (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) (-.f64 (*.f64 (neg.f64 J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (neg.f64 J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (/.f64 (*.f64 (neg.f64 J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U) #s(literal 1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 J l) U) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))

rewrite204.0ms (1.8%)

Memory
-14.7MiB live, 324.3MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060402
097382
1363380
22596380
08847376
Stop Event
iter limit
node limit
iter limit
Counts
24 → 245
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
(*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(sinh.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(*.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)))
#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))
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) 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) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K)
(*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K)
Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (*.f64 U U))) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 U #s(literal 3 binary64)))) (*.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 U U))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 U U)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(/.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 J (sinh.f64 l)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) J) #s(literal 2 binary64) U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) U)
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(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) #s(literal 1/60 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 #s(literal 1/216000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/60 binary64) (neg.f64 l))) l #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/60 binary64) l)) l #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) (neg.f64 l)) (neg.f64 l) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 l) (*.f64 (neg.f64 l) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 l (fabs.f64 (*.f64 (neg.f64 l) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 l (fabs.f64 (*.f64 #s(literal 1/60 binary64) l)) #s(literal 1/3 binary64))
(fma.f64 l (*.f64 #s(literal 1/60 binary64) l) #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/60 binary64) l)) l))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 l l)) #s(literal 1/60 binary64)))
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 l l)))
(+.f64 (/.f64 (*.f64 #s(literal 1/216000 binary64) (pow.f64 l #s(literal 6 binary64))) (fma.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64))))))
(+.f64 (*.f64 (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) #s(literal 1/60 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K)
(*.f64 K (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/2123366400 binary64)) #s(literal 1/147456 binary64)) K) (-.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64)) K) (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/2123366400 binary64) (-.f64 #s(literal 1/147456 binary64) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 (*.f64 K (-.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/2123366400 binary64)) #s(literal 1/147456 binary64))) (-.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)))
(/.f64 (*.f64 K (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64))) (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/2123366400 binary64) (-.f64 #s(literal 1/147456 binary64) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) K (*.f64 #s(literal 1/384 binary64) K))
(fma.f64 #s(literal 1/384 binary64) K (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) K))
(fma.f64 K (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) (*.f64 K #s(literal 1/384 binary64)))
(fma.f64 K #s(literal 1/384 binary64) (*.f64 K (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))))
(+.f64 (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) K) (*.f64 #s(literal 1/384 binary64) K))
(+.f64 (*.f64 #s(literal 1/384 binary64) K) (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) K))
(+.f64 (*.f64 K (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))) (*.f64 K #s(literal 1/384 binary64)))
(+.f64 (*.f64 K #s(literal 1/384 binary64)) (*.f64 K (*.f64 #s(literal -1/46080 binary64) (*.f64 K K))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (neg.f64 K)) (neg.f64 K))
(*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K)
(*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K))
(*.f64 (*.f64 K K) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))
(*.f64 K (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/2123366400 binary64)) #s(literal 1/147456 binary64)) (*.f64 K K)) (-.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 K K)) #s(literal 1/384 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/97844723712000 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1/56623104 binary64)) (*.f64 K K)) (fma.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal 1/2123366400 binary64) (-.f64 #s(literal 1/147456 binary64) (*.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))

eval66.0ms (0.6%)

Memory
11.6MiB live, 146.3MiB allocated; 24ms collecting garbage
Compiler

Compiled 17 911 to 1 711 computations (90.4% saved)

prune40.0ms (0.3%)

Memory
39.7MiB live, 129.9MiB allocated; 10ms collecting garbage
Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New37321394
Fresh5712
Picked415
Done000
Total38229411
Accuracy
100.0%
Counts
411 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.3%
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
62.4%
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
58.6%
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
62.7%
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
61.9%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
63.3%
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
54.5%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
58.6%
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
59.2%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
54.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l U))
81.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U))
41.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
45.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
46.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
73.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
69.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)))
19.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
52.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
69.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
20.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)) (*.f64 (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U) (*.f64 U U))) (*.f64 (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)))))
54.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
48.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
43.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
19.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
65.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
70.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)))))
Compiler

Compiled 2 277 to 1 558 computations (31.6% saved)

simplify132.0ms (1.2%)

Memory
0.1MiB live, 188.1MiB allocated; 48ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#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))
cost-diff0
(*.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)))
cost-diff0
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
cost-diff1
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
cost-diff0
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
cost-diff0
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
cost-diff0
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
cost-diff0
(fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)
cost-diff0
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)))
cost-diff2
(fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J))
cost-diff0
(+.f64 l l)
cost-diff0
(fma.f64 (+.f64 l l) J U)
cost-diff0
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
cost-diff0
(sinh.f64 l)
cost-diff0
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064641
0102641
1199641
2514637
31732605
45924605
08391590
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))
(fma.f64 (+.f64 l l) J U)
(+.f64 l l)
l
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U))
(fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J))
(*.f64 (*.f64 l l) J)
(*.f64 l l)
l
J
#s(literal 1/3 binary64)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
U
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
K
#s(literal 1 binary64)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(*.f64 l l)
l
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
J
#s(approx (- (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))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64))
(*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K)
#s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K))
(*.f64 #s(literal 1/384 binary64) K)
#s(literal 1/384 binary64)
K
#s(literal 1/8 binary64)
(*.f64 K K)
#s(literal 1 binary64)
U
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.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 (sinh.f64 l) J) #s(literal 2 binary64) U))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64) U)
(*.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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (+.f64 l l) J U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(+.f64 l l)
(*.f64 #s(literal 2 binary64) l)
l
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) U))
(fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (*.f64 l J) (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) U)
(fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)
(*.f64 (*.f64 l l) J)
(*.f64 l l)
l
J
#s(literal 1/3 binary64)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
U
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) 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)) U)
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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 #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 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))))
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
K
#s(literal 1 binary64)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(*.f64 l l)
l
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(fma.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.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) U)
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.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))
(*.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)))
(*.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)
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))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64))
(*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K)
#s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K))
(*.f64 #s(literal 1/384 binary64) K)
#s(literal 1/384 binary64)
K
#s(literal 1/8 binary64)
(*.f64 K K)
#s(literal 1 binary64)
U

localize461.0ms (4%)

Memory
-11.0MiB live, 721.5MiB allocated; 220ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.30078125
(*.f64 #s(literal 1/384 binary64) K)
accuracy6.400828463734493
#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))
accuracy32.0612509549519
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy32.68941935699185
#s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K))
accuracy0.0546875
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
accuracy0.078125
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
accuracy6.400828463734493
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
accuracy31.88412731802038
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
accuracy0.0703125
(fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J))
accuracy8.759053409789946
(*.f64 (*.f64 l l) J)
accuracy9.263716704079489
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U))
accuracy11.881325904165866
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)))
accuracy0.0
(fma.f64 (+.f64 l l) J U)
accuracy0.0
(+.f64 l l)
accuracy11.881325904165866
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
accuracy23.654142578268782
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))
accuracy0.0
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
accuracy0.0
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
accuracy0.0
(sinh.f64 l)
accuracy11.881325904165866
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Samples
247.0ms101×1valid
130.0ms133×0valid
32.0ms22×2valid
Compiler

Compiled 385 to 63 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 271.0ms
ival-mult: 121.0ms (44.7% of total)
adjust: 56.0ms (20.7% of total)
ival-add: 30.0ms (11.1% of total)
ival-exp: 26.0ms (9.6% of total)
const: 18.0ms (6.6% of total)
ival-cos: 9.0ms (3.3% of total)
ival-sub: 4.0ms (1.5% of total)
ival-div: 2.0ms (0.7% of total)
ival-sinh: 2.0ms (0.7% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
7.2MiB live, 96.6MiB allocated; 16ms collecting garbage
Counts
26 → 105
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))
(fma.f64 (+.f64 l l) J U)
(+.f64 l l)
(fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U))
(fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (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 (- (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))
(*.f64 (*.f64 l l) J)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
#s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(*.f64 #s(literal 1/384 binary64) K)
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* 2 (* J l)))
(* J (+ 2 (* 1/3 (pow l 2))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (pow l 2))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (- (* -1/3 (pow l 2)) 2)))
(* -1 (* J (* l (- (* -1/3 (pow l 2)) 2))))
(* -1 (* J (+ (* -1 (/ U J)) (* l (- (* -1/3 (pow l 2)) 2)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* 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 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(- (exp l) (/ 1 (exp l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 J) (/ U l)))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))
(- (exp l) (exp (neg l)))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 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 (+ (* -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)))))))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (exp (neg l)))))) (exp (neg l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* 1/384 (* (pow K 2) (- (exp l) (exp (neg l)))))))) (exp (neg l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (exp (neg l))))) (* 1/384 (- (exp l) (exp (neg 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)))
(+ (* -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))))))))))
(* 1/384 K)
(* K (+ 1/384 (* -1/46080 (pow K 2))))
(cos (* 1/2 K))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* -1/46080 (pow K 3))
(* (pow K 3) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1 (* (pow K 3) (- 1/46080 (* 1/384 (/ 1 (pow K 2))))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (/ (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
8.0ms
J
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (sinh l) 2) J) U) (* (sinh l) 2) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* l l) J) 1/3) (* 2 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (+ (* (* (cos (/ K 2)) (- (exp l) (exp (neg l)))) J) U) (* (cos (/ K 2)) (- (exp l) (exp (neg l)))) (cos (/ K 2)) (+ (* -1/8 (* K K)) 1) (+ (* (* 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))) (* (* l l) J) (- (exp l) (exp (neg l))) (+ (* (* l l) 1/60) 1/3) (* (+ (* -1/46080 (* K K)) 1/384) K) (cos (/ K 2)) (* 1/384 K))
7.0ms
l
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (sinh l) 2) J) U) (* (sinh l) 2) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* l l) J) 1/3) (* 2 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (+ (* (* (cos (/ K 2)) (- (exp l) (exp (neg l)))) J) U) (* (cos (/ K 2)) (- (exp l) (exp (neg l)))) (cos (/ K 2)) (+ (* -1/8 (* K K)) 1) (+ (* (* 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))) (* (* l l) J) (- (exp l) (exp (neg l))) (+ (* (* l l) 1/60) 1/3) (* (+ (* -1/46080 (* K K)) 1/384) K) (cos (/ K 2)) (* 1/384 K))
4.0ms
l
@inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (sinh l) 2) J) U) (* (sinh l) 2) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* l l) J) 1/3) (* 2 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (+ (* (* (cos (/ K 2)) (- (exp l) (exp (neg l)))) J) U) (* (cos (/ K 2)) (- (exp l) (exp (neg l)))) (cos (/ K 2)) (+ (* -1/8 (* K K)) 1) (+ (* (* 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))) (* (* l l) J) (- (exp l) (exp (neg l))) (+ (* (* l l) 1/60) 1/3) (* (+ (* -1/46080 (* K K)) 1/384) K) (cos (/ K 2)) (* 1/384 K))
4.0ms
J
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (sinh l) 2) J) U) (* (sinh l) 2) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* l l) J) 1/3) (* 2 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (+ (* (* (cos (/ K 2)) (- (exp l) (exp (neg l)))) J) U) (* (cos (/ K 2)) (- (exp l) (exp (neg l)))) (cos (/ K 2)) (+ (* -1/8 (* K K)) 1) (+ (* (* 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))) (* (* l l) J) (- (exp l) (exp (neg l))) (+ (* (* l l) 1/60) 1/3) (* (+ (* -1/46080 (* K K)) 1/384) K) (cos (/ K 2)) (* 1/384 K))
3.0ms
J
@inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (sinh l) 2) J) U) (* (sinh l) 2) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* l l) J) 1/3) (* 2 J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (- (exp l) (exp (neg l))) J) U) (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (+ (* (* (cos (/ K 2)) (- (exp l) (exp (neg l)))) J) U) (* (cos (/ K 2)) (- (exp l) (exp (neg l)))) (cos (/ K 2)) (+ (* -1/8 (* K K)) 1) (+ (* (* 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))) (* (* l l) J) (- (exp l) (exp (neg l))) (+ (* (* l l) 1/60) 1/3) (* (+ (* -1/46080 (* K K)) 1/384) K) (cos (/ K 2)) (* 1/384 K))

simplify182.0ms (1.6%)

Memory
-31.1MiB live, 260.6MiB allocated; 50ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03221601
111951558
246561428
081041331
Stop Event
iter limit
node limit
Counts
105 → 103
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* 2 (* J l)))
(* J (+ 2 (* 1/3 (pow l 2))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (pow l 2))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (- (* -1/3 (pow l 2)) 2)))
(* -1 (* J (* l (- (* -1/3 (pow l 2)) 2))))
(* -1 (* J (+ (* -1 (/ U J)) (* l (- (* -1/3 (pow l 2)) 2)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* 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 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(- (exp l) (/ 1 (exp l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 J) (/ U l)))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))
(- (exp l) (exp (neg l)))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 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 (+ (* -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)))))))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (exp (neg l)))))) (exp (neg l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* 1/384 (* (pow K 2) (- (exp l) (exp (neg l)))))))) (exp (neg l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (exp (neg l))))) (* 1/384 (- (exp l) (exp (neg 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)))
(+ (* -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))))))))))
(* 1/384 K)
(* K (+ 1/384 (* -1/46080 (pow K 2))))
(cos (* 1/2 K))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* -1/46080 (pow K 3))
(* (pow K 3) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(* -1 (* (pow K 3) (- 1/46080 (* 1/384 (/ 1 (pow K 2))))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (/ (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (pow l 2))
(*.f64 (*.f64 l l) 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)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 (-.f64 (+.f64 (/.f64 U J) (exp.f64 l)) (exp.f64 (neg.f64 l))) J)
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(*.f64 (-.f64 (+.f64 (/.f64 U J) (exp.f64 l)) (exp.f64 (neg.f64 l))) 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 (* l (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 (*.f64 #s(literal 1 binary64) J) (-.f64 (+.f64 (/.f64 U J) (exp.f64 l)) (exp.f64 (neg.f64 l))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(*.f64 (*.f64 #s(literal 1 binary64) J) (-.f64 (+.f64 (/.f64 U J) (exp.f64 l)) (exp.f64 (neg.f64 l))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* -1 (* J (- (* -1/3 (pow l 2)) 2)))
(*.f64 (neg.f64 J) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) #s(literal 2 binary64)))
(* -1 (* J (* l (- (* -1/3 (pow l 2)) 2))))
(*.f64 (*.f64 (neg.f64 J) l) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) #s(literal 2 binary64)))
(* -1 (* J (+ (* -1 (/ U J)) (* l (- (* -1/3 (pow l 2)) 2)))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) #s(literal 2 binary64)) (neg.f64 l) (/.f64 U J)) J)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) 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 #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 U)
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) J) (pow.f64 l #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) l U)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
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)
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* 2 (* 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 (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 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) 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 (*.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)) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)))))) l)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) l))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J (*.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))))) l)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* 1/3 (* J (pow l 2)))
(*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 J (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal -1/3 binary64))) (*.f64 l l))
(* 1/3 (* J (pow l 3)))
(*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) J) #s(literal 1/3 binary64))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 J (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal -1/3 binary64))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) J (/.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) (*.f64 l l))) (pow.f64 l #s(literal 3 binary64)))
(* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/60 (pow l 2))
(*.f64 #s(literal 1/60 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64)) l) l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+ U (* J (- (exp l) (exp (* -1 l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 J (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal -1/3 binary64))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
(*.f64 (pow.f64 (neg.f64 l) #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) J (/.f64 (fma.f64 #s(literal -2 binary64) J (/.f64 U (neg.f64 l))) (*.f64 l l))))
(* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(* 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 (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J) 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 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 #s(literal 1/384 binary64) 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J) J) U) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (exp (neg l)))))) (exp (neg l)))
(fma.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (exp (neg l)))) (* 1/384 (* (pow K 2) (- (exp l) (exp (neg l)))))))) (exp (neg l)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 #s(literal 1/384 binary64) 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) (exp (neg l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (exp (neg l))))) (* 1/384 (- (exp l) (exp (neg l))))))))) (exp (neg l)))
(fma.f64 (fma.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) #s(literal -1/46080 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64)))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (-.f64 (*.f64 (*.f64 K K) #s(literal 1/384 binary64)) #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 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J) 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 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 #s(literal 1/384 binary64) 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 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) (*.f64 #s(literal -1/8 binary64) J) J) (*.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))))))
(* 1/384 K)
(*.f64 #s(literal 1/384 binary64) K)
(* K (+ 1/384 (* -1/46080 (pow K 2))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K)
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* -1/8 (pow K 2))
(*.f64 (*.f64 K K) #s(literal -1/8 binary64))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K)
(* -1/46080 (pow K 3))
(*.f64 (pow.f64 K #s(literal 3 binary64)) #s(literal -1/46080 binary64))
(* (pow K 3) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))
(*.f64 (-.f64 (/.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/46080 binary64)) (pow.f64 K #s(literal 3 binary64)))
(* -1 (* (pow K 3) (- 1/46080 (* 1/384 (/ 1 (pow K 2))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (*.f64 K K)))) (pow.f64 K #s(literal 3 binary64)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) U)))
(fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (neg.f64 U))) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (neg.f64 U)) J) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (neg.f64 U)) J) #s(literal 1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) U)) 1)))
(*.f64 (neg.f64 U) (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) J) U) l) #s(literal 1 binary64)))

rewrite778.0ms (6.8%)

Memory
-134.1MiB live, 329.3MiB allocated; 1.0s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064484
0102452
1416452
22687452
08220444
Stop Event
iter limit
node limit
iter limit
Counts
26 → 345
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))
(fma.f64 (+.f64 l l) J U)
(+.f64 l l)
(fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U))
(fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
#s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(*.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (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 (- (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))
(*.f64 (*.f64 l l) J)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
#s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(*.f64 #s(literal 1/384 binary64) K)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #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 (sinh.f64 l)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U)) (*.f64 (-.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U) (*.f64 U U))) (*.f64 (-.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U) (-.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U)))
(/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64)))) (*.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 U U) (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 U (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U))) (neg.f64 (-.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 J (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 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (sinh.f64 l) (*.f64 (*.f64 #s(literal 2 binary64) J) U))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #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 (sinh.f64 l)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 U) U)) (-.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U))
(/.f64 (fma.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (sinh.f64 l) (*.f64 (*.f64 #s(literal 2 binary64) J) U)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64) U)
(fma.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l) U)
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J) U)
(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)
(fma.f64 J (*.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 U (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U)))
(-.f64 U (*.f64 (sinh.f64 (neg.f64 l)) (*.f64 #s(literal 2 binary64) J)))
(-.f64 U (*.f64 (neg.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J))
(-.f64 U (*.f64 (neg.f64 J) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 U #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(+.f64 (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U)
(+.f64 U (*.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(/.f64 (+.f64 (neg.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64))) (neg.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal 2 binary64)))
(/.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sinh.f64 l) #s(literal 2 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
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(fma.f64 l (fabs.f64 (*.f64 #s(literal 1/60 binary64) l)) #s(literal 1/3 binary64))
(fma.f64 l (*.f64 #s(literal 1/60 binary64) l) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 l l)))) (/.f64 (*.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 l l)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 l l)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 l l)) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/60 binary64) l)) l))
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 l l)))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 l l)) #s(literal 1/60 binary64)))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 l) (*.f64 #s(literal 1/60 binary64) l)))
(+.f64 (/.f64 (*.f64 #s(literal 1/216000 binary64) (pow.f64 l #s(literal 6 binary64))) (fma.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) #s(literal 1/180 binary64))))))
(+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 l l)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 l l)))
#s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K))
#s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(*.f64 #s(literal 1/384 binary64) K)
(*.f64 K #s(literal 1/384 binary64))

eval126.0ms (1.1%)

Memory
10.6MiB live, 213.2MiB allocated; 28ms collecting garbage
Compiler

Compiled 23 341 to 2 147 computations (90.8% saved)

prune86.0ms (0.8%)

Memory
-5.6MiB live, 131.2MiB allocated; 9ms collecting garbage
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New41816434
Fresh91423
Picked325
Done011
Total43033463
Accuracy
100.0%
Counts
463 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.3%
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
58.3%
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
62.4%
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
58.6%
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
52.1%
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(approx (+ (* -1/8 (* K K)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
58.6%
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
62.7%
(+.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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
54.5%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
59.9%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l U))
81.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U))
41.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
45.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
77.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
75.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
46.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
73.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
19.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
68.8%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
52.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
69.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
63.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
20.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)) (*.f64 (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U) (*.f64 U U))) (*.f64 (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)))))
67.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
38.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
54.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
48.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
43.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
19.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
65.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
70.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)))))
Compiler

Compiled 3 844 to 1 338 computations (65.2% saved)

regimes183.0ms (1.6%)

Memory
13.0MiB live, 255.6MiB allocated; 21ms collecting garbage
Counts
64 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(approx (+ (* -1/8 (* K K)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #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 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l U))
#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 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.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) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)) (*.f64 (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U) (*.f64 U U))) (*.f64 (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) 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 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) l))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Calls

10 calls:

45.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
20.0ms
U
17.0ms
l
16.0ms
(/.f64 K #s(literal 2 binary64))
16.0ms
K
Results
AccuracySegmentsBranch
100.0%1(/.f64 K #s(literal 2 binary64))
100.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
100.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
100.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
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 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
100.0%1J
100.0%1l
100.0%1K
100.0%1U
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes198.0ms (1.7%)

Memory
7.3MiB live, 243.3MiB allocated; 22ms collecting garbage
Counts
62 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(approx (+ (* -1/8 (* K K)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #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 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l U))
#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 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.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) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)) (*.f64 (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U) (*.f64 U U))) (*.f64 (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) 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 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
Calls

10 calls:

59.0ms
K
19.0ms
l
16.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
16.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
16.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Results
AccuracySegmentsBranch
100.0%1(/.f64 K #s(literal 2 binary64))
100.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
100.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
100.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
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 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
100.0%1J
100.0%1l
100.0%1K
100.0%1U
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes240.0ms (2.1%)

Memory
-18.2MiB live, 266.5MiB allocated; 35ms collecting garbage
Counts
60 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(approx (+ (* -1/8 (* K K)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #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 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l U))
#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 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.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) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)) (*.f64 (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U) (*.f64 U U))) (*.f64 (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U) (-.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
Outputs
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Calls

10 calls:

55.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
50.0ms
U
26.0ms
(/.f64 K #s(literal 2 binary64))
23.0ms
J
18.0ms
l
Results
AccuracySegmentsBranch
96.6%2(/.f64 K #s(literal 2 binary64))
97.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
94.4%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
94.4%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
94.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
94.4%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
94.4%1J
94.4%1l
96.6%2K
94.4%1U
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes16.0ms (0.1%)

Memory
29.0MiB live, 29.0MiB allocated; 0ms collecting garbage
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(approx (+ (* -1/8 (* K K)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #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 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l U))
#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 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Calls

1 calls:

13.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
96.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes65.0ms (0.6%)

Memory
-2.4MiB live, 53.7MiB allocated; 6ms collecting garbage
Counts
56 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(approx (+ (* -1/8 (* K K)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #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 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l U))
#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 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (neg.f64 U) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)))))
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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Calls

3 calls:

35.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms
K
14.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.7%2(/.f64 K #s(literal 2 binary64))
94.7%2K
96.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes165.0ms (1.4%)

Memory
-12.6MiB live, 123.2MiB allocated; 9ms collecting garbage
Counts
54 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(approx (+ (* -1/8 (* K K)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #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 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l U))
#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 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Calls

8 calls:

47.0ms
J
33.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
23.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms
U
13.0ms
l
Results
AccuracySegmentsBranch
88.6%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
89.2%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
89.6%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
89.6%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
89.7%3J
96.8%5l
86.2%1U
95.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 49 to 63 computations (-28.6% saved)

regimes15.0ms (0.1%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Counts
53 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(approx (+ (* -1/8 (* K K)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #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 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l U))
#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 J) l) (cos (* -1/2 K))) U) (*.f64 (fma.f64 (*.f64 (*.f64 l J) (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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Calls

1 calls:

12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
95.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes176.0ms (1.5%)

Memory
-51.3MiB live, 97.2MiB allocated; 9ms collecting garbage
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(approx (+ (* -1/8 (* K K)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #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 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) l U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Calls

7 calls:

17.0ms
l
12.0ms
(/.f64 K #s(literal 2 binary64))
12.0ms
K
12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Results
AccuracySegmentsBranch
88.6%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
88.6%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
88.6%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
90.6%4l
81.4%1(/.f64 K #s(literal 2 binary64))
81.4%1K
88.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 45 to 57 computations (-26.7% saved)

regimes174.0ms (1.5%)

Memory
44.4MiB live, 90.3MiB allocated; 3ms collecting garbage
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(approx (+ (* -1/8 (* K K)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J U))
Outputs
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U))
Calls

8 calls:

101.0ms
l
11.0ms
U
11.0ms
J
11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Results
AccuracySegmentsBranch
81.4%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
81.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
81.4%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%2l
81.4%1U
81.4%1J
81.4%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
87.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 49 to 63 computations (-28.6% saved)

regimes169.0ms (1.5%)

Memory
2.9MiB live, 140.4MiB allocated; 14ms collecting garbage
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #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) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) l) (*.f64 #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 #s(approx (* (+ (* -1/46080 (* K K)) 1/384) K) (*.f64 #s(literal 1/384 binary64) K)) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(approx (+ (* -1/8 (* K K)) 1) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 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))) #s(approx (cos (/ K 2)) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))) U)
Outputs
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
Calls

10 calls:

43.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
36.0ms
K
17.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
11.0ms
l
11.0ms
U
Results
AccuracySegmentsBranch
77.0%1J
77.0%1(/.f64 K #s(literal 2 binary64))
77.0%1K
77.0%1U
78.9%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
77.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
77.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
77.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
79.0%2l
82.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes22.0ms (0.2%)

Memory
-31.2MiB live, 12.4MiB allocated; 7ms collecting garbage
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
Outputs
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #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) (fma.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)) J U))
Calls

1 calls:

20.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
82.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes8.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #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))) #s(approx (cos (/ K 2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l (*.f64 #s(literal 2 binary64) J)) l U)))
Outputs
(fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #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) (fma.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)) J U))
Calls

1 calls:

6.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
80.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes7.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #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 (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (fma.f64 (*.f64 U l) (/.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) U) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (*.f64 l (fma.f64 (*.f64 #s(literal 1/384 binary64) K) K #s(literal -1/8 binary64))) (*.f64 K K) l)) (*.f64 #s(literal 2 binary64) J) U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U))
Calls

1 calls:

5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
79.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes55.0ms (0.5%)

Memory
-24.9MiB live, 51.3MiB allocated; 19ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.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 (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
Calls

10 calls:

13.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
5.0ms
U
5.0ms
K
5.0ms
(/.f64 K #s(literal 2 binary64))
5.0ms
J
Results
AccuracySegmentsBranch
69.2%1(/.f64 K #s(literal 2 binary64))
69.2%1J
69.2%1K
69.2%1U
69.2%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
69.2%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
69.2%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
71.4%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
71.4%2l
73.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes18.0ms (0.2%)

Memory
-25.9MiB live, 20.0MiB allocated; 3ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 l (*.f64 (*.f64 l J) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) J)) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)) l U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
Calls

2 calls:

13.0ms
l
4.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
71.4%2l
69.2%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 5 to 11 computations (-120% saved)

regimes50.0ms (0.4%)

Memory
17.0MiB live, 62.8MiB allocated; 3ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 #s(approx (+ (* (* (* l l) J) 1/3) (* 2 J)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
Calls

10 calls:

23.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
U
3.0ms
J
3.0ms
K
3.0ms
l
Results
AccuracySegmentsBranch
63.1%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
71.4%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
63.1%1(/.f64 K #s(literal 2 binary64))
71.4%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
71.4%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
63.1%1K
65.2%2J
63.1%1U
71.4%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
71.4%3l
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes49.0ms (0.4%)

Memory
-2.7MiB live, 42.9MiB allocated; 4ms collecting garbage
Accuracy

Total -21.2b remaining (-69.8%)

Threshold costs -21.2b (-69.8%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (*.f64 #s(literal 2 binary64) J) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
Calls

10 calls:

34.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
l
2.0ms
U
2.0ms
K
2.0ms
J
Results
AccuracySegmentsBranch
52.5%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
52.5%1U
52.5%1(/.f64 K #s(literal 2 binary64))
52.5%1K
52.5%1J
52.5%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
52.5%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
52.5%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
52.5%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
52.5%1l
Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7668539712452751
0.7927165764284821
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7668539712452751
0.7927165764284821
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7668539712452751
0.7927165764284821
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5006704566461819
0.5355095234494973
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.5006704566461819
0.5355095234494973
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.02151972327866923
0.05366025896886009
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04698180321549654
-0.03287901147335246
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04698180321549654
-0.03287901147335246
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04698180321549654
-0.03287901147335246
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.04698180321549654
-0.03287901147335246
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.05441767680791537
-0.04836166547633365
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.05441767680791537
-0.04836166547633365
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch26.0ms (0.2%)

Memory
14.6MiB live, 60.4MiB allocated; 11ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
-1.743229711267613e+50
-3.0194769060075223e+46
Samples
13.0ms128×0valid
Compiler

Compiled 746 to 493 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-cos: 3.0ms (33.4% of total)
ival-exp: 2.0ms (22.3% of total)
ival-mult: 2.0ms (22.3% of total)
ival-div: 1.0ms (11.1% of total)
ival-add: 1.0ms (11.1% of total)
ival-sub: 1.0ms (11.1% of total)
ival-neg: 1.0ms (11.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Memory
5.1MiB live, 94.2MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.402441919499469e+39
2.7528554496119735e+43
20.0ms
-1.2987037331631234e+70
-2.6971305630474836e+66
Samples
29.0ms256×0valid
Compiler

Compiled 1 394 to 901 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-exp: 6.0ms (27.5% of total)
ival-cos: 5.0ms (22.9% of total)
ival-add: 3.0ms (13.8% of total)
ival-mult: 3.0ms (13.8% of total)
ival-div: 1.0ms (4.6% of total)
ival-sub: 1.0ms (4.6% of total)
ival-neg: 1.0ms (4.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify86.0ms (0.8%)

Memory
-22.2MiB live, 79.6MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01621092
12161092
23721088
310311088
436291088
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3512807709348987/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3512807709348987/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3512807709348987/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1170935903116329/2251799813685248 binary64)) (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1170935903116329/2251799813685248 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #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) (fma.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)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #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) (fma.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)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))))
(if (<=.f64 l #s(literal -159999999999999991438444311607708691149958636634112 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))))
(if (<=.f64 l #s(literal -2699999999999999908491964317774773898437543315362637351385582010368 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) (if (<=.f64 l #s(literal 1450000000000000146807668789159011549184 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))
Outputs
(+.f64 (*.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (tanh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3512807709348987/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3512807709348987/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3512807709348987/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1170935903116329/2251799813685248 binary64)) (+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1170935903116329/2251799813685248 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 l l))) (*.f64 l l) #s(literal 2 binary64)) l))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #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) (fma.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)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 (*.f64 #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(approx (+ (* (* l l) 1/60) 1/3) #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) (fma.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)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) l) (*.f64 #s(literal 2 binary64) J) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))))
(if (<=.f64 l #s(literal -159999999999999991438444311607708691149958636634112 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U))))
(if (<=.f64 l #s(literal -2699999999999999908491964317774773898437543315362637351385582010368 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) (if (<=.f64 l #s(literal 1450000000000000146807668789159011549184 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))))
(if (or (<=.f64 l #s(literal -2699999999999999908491964317774773898437543315362637351385582010368 binary64)) (not (<=.f64 l #s(literal 1450000000000000146807668789159011549184 binary64)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) #s(approx (+ (* (+ (* (* (* l l) J) 1/3) (* 2 J)) l) U) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (- (exp l) (exp (neg l))) J) U) (fma.f64 (+.f64 l l) J U)))

derivations1.6s (13.9%)

Memory
30.8MiB live, 1 632.3MiB allocated; 220ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
02338
17438
250638
3596738
0812437
04152045
116211967
263491950
080971819
0145756
1552756
22179646
35634646
08490597
060402
097382
1363380
22596380
08847376
052358
089337
1300322
22073322
08414317
03221601
111951558
246561428
081041331
03311728
112521718
244061712
086731598
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 092 to 166 computations (84.8% saved)

preprocess144.0ms (1.3%)

Memory
7.0MiB live, 236.2MiB allocated; 37ms collecting garbage
Remove

(abs K)

Compiler

Compiled 2 246 to 388 computations (82.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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