Maksimov and Kolovsky, Equation (4)

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 17 to 16 computations (5.9% saved)

sample1.9s (22.2%)

Memory
68.8MiB live, 2 459.8MiB allocated
Samples
760.0ms6 425×0valid
760.0ms1 831×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-exp: 429.0ms (35.4% of total)
ival-cos: 330.0ms (27.3% of total)
ival-mult: 170.0ms (14% of total)
ival-add: 61.0ms (5% of total)
ival-sub: 56.0ms (4.6% of total)
ival-div: 56.0ms (4.6% of total)
adjust: 53.0ms (4.4% of total)
ival-neg: 39.0ms (3.2% of total)
ival-true: 7.0ms (0.6% of total)
exact: 6.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain353.0ms (4.1%)

Memory
-9.7MiB live, 223.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1090-0-(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
00-0-K
00-0-(neg.f64 l)
00-0-(/.f64 K #s(literal 2 binary64))
00-0-(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
0143(-3.6376277845935105e-282 2.353405276974704e-168 8.354809483051089e+222 3.9767109969177374e+34)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
00-0-J
00-0-U
00-0-(exp.f64 (neg.f64 l))
00-0-#s(literal 2 binary64)
00-0-(exp.f64 l)
00-0-l
00-0-(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1431
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation301
Confusion
Predicted +Predicted -
+290
-123104
Precision
0.19078947368421054
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2900
-1231103
Precision?
0.1895424836601307
Recall?
1.0
Freqs
test
numberfreq
0104
1131
221
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
97.0ms170×1valid
51.0ms298×0valid
22.0ms44×2valid
Compiler

Compiled 202 to 60 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-exp: 37.0ms (36.8% of total)
ival-div: 20.0ms (19.9% of total)
ival-cos: 17.0ms (16.9% of total)
ival-mult: 9.0ms (9% of total)
adjust: 6.0ms (6% of total)
ival-sub: 4.0ms (4% of total)
ival-add: 4.0ms (4% of total)
ival-neg: 2.0ms (2% of total)
ival-true: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess396.0ms (4.6%)

Memory
-141.1MiB live, 82.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066216
1162211
2457210
31541210
45276210
01415
02315
13615
26215
312515
428315
551015
669915
7118615
8172915
9191915
10200415
11201515
12201515
0201514
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.4%
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize120.0ms (1.4%)

Memory
-4.5MiB live, 74.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 l)
accuracy0.0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy0.08984375
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy25.57821816109689
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
80.0ms85×1valid
17.0ms149×0valid
13.0ms22×2valid
Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-cos: 32.0ms (33.4% of total)
ival-add: 30.0ms (31.3% of total)
ival-exp: 18.0ms (18.8% of total)
ival-mult: 7.0ms (7.3% of total)
adjust: 3.0ms (3.1% of total)
ival-sub: 2.0ms (2.1% of total)
ival-div: 2.0ms (2.1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
4 → 25
Calls
Call 1
Inputs
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(exp.f64 l)
Outputs
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(- (exp l) (exp (neg l)))
(exp l)
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
Calls

12 calls:

TimeVariablePointExpression
2.0ms
J
@0
((- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (cos (/ K 2)) (exp l))
2.0ms
l
@0
((- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (cos (/ K 2)) (exp l))
1.0ms
J
@inf
((- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (cos (/ K 2)) (exp l))
1.0ms
l
@inf
((- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (cos (/ K 2)) (exp l))
1.0ms
l
@-inf
((- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (cos (/ K 2)) (exp l))

simplify240.0ms (2.8%)

Memory
12.9MiB live, 203.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110397
1332397
21041341
33777321
08197292
Stop Event
iter limit
node limit
Counts
25 → 25
Calls
Call 1
Inputs
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(- (exp l) (exp (neg l)))
(exp l)
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
Outputs
(* 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)))
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (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 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(* l (+ (* 2 (* 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 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.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 (* 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 (*.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)))) (pow.f64 l #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 l)
(+.f64 #s(literal 1 binary64) l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal 1 binary64)) l #s(literal 1 binary64))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp l)
(exp.f64 l)
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(+ (* 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 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))

rewrite133.0ms (1.6%)

Memory
-29.0MiB live, 100.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
02021
15621
227921
0247121
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 140
Calls
Call 1
Inputs
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(exp.f64 l)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (+.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (pow.f64 (exp.f64 l) #s(literal 3 binary64)))) (fma.f64 (exp.f64 l) (exp.f64 l) (expm1.f64 (*.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 4 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 l #s(literal 2 binary64))) (pow.f64 (exp.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 (-.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 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))))
(*.f64 (pow.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 -1 binary64)) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 l))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (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 (cosh.f64 l) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (cosh.f64 l)))
(*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (cosh.f64 l) #s(literal 2 binary64))))
(*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))))
(*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))
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(fma.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.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 -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 l)) (exp.f64 l))
(fma.f64 #s(literal 1 binary64) (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(fma.f64 (exp.f64 (neg.f64 l)) #s(literal -1 binary64) (exp.f64 l))
(fma.f64 (exp.f64 l) (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 (exp.f64 l) (/.f64 (exp.f64 l) (*.f64 (cosh.f64 l) #s(literal 2 binary64))) (neg.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (exp.f64 l) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(-.f64 (+.f64 (exp.f64 l) #s(literal 0 binary64)) (exp.f64 (neg.f64 l)))
(-.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (neg.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (exp.f64 l))
(+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (pow.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 -1 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (sinh.f64 l)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal 2 binary64)) (sinh.f64 l))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) (sinh.f64 l))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 l) J))
(*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J)
(*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)))
(*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (*.f64 (pow.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 -1 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)))
(*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)))
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) J))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 l) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)))
(*.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J))
(/.f64 (*.f64 (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) J) (*.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) J) (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 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) (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)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) (*.f64 (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 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))))) (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 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) (*.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) J)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 J (*.f64 (*.f64 (cosh.f64 l) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))) (*.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 (*.f64 J (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (cos.f64 (*.f64 K #s(literal -1/2 binary64))))) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (*.f64 (cosh.f64 l) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal -1 binary64) (exp.f64 l)) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (exp.f64 l)))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (exp.f64 l) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(fma.f64 (*.f64 J (exp.f64 l)) (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (/.f64 J (neg.f64 (exp.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (*.f64 (exp.f64 l) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)))
(fma.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 J (exp.f64 l)) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 J (neg.f64 (exp.f64 l)))))
(fma.f64 (exp.f64 l) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) (*.f64 (exp.f64 l) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)))
(+.f64 (*.f64 (exp.f64 l) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)))
(+.f64 (*.f64 (*.f64 J (exp.f64 l)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) (*.f64 (/.f64 J (neg.f64 (exp.f64 l))) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal -1 binary64) (exp.f64 l))) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (exp.f64 l)))
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (exp.f64 l)) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(+.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 J (exp.f64 l))) (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (/.f64 J (neg.f64 (exp.f64 l)))))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1 binary64) (exp.f64 l))
(*.f64 (exp.f64 l) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 l)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 l)))
(/.f64 (exp.f64 l) #s(literal 1 binary64))
(exp.f64 l)

eval62.0ms (0.7%)

Memory
-2.8MiB live, 34.9MiB allocated
Compiler

Compiled 4 630 to 805 computations (82.6% saved)

prune8.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1558163
Fresh000
Picked101
Done000
Total1568164
Accuracy
100.0%
Counts
164 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
96.2%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.8%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
87.1%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
71.6%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)) U)
91.7%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.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)
83.0%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) U)
59.5%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
Compiler

Compiled 434 to 340 computations (21.7% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize239.0ms (2.8%)

Memory
-10.9MiB live, 232.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (neg.f64 l))
accuracy0.0
(exp.f64 l)
accuracy23.182717832605412
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
accuracy25.57821816109689
(-.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))
accuracy0.0859375
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
accuracy0.08984375
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #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))))
accuracy6.925261319531075
#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))
accuracy0.0390625
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy0.08984375
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.1015625
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy10.495998881920357
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy0.0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy0.0078125
(*.f64 (*.f64 J l) #s(literal 2 binary64))
accuracy0.1640625
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy26.026241061553613
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy0.0
(sinh.f64 l)
accuracy0.0
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy0.0390625
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy0.0625
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J)
Samples
80.0ms149×0valid
71.0ms85×1valid
46.0ms22×2valid
Compiler

Compiled 789 to 97 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-exp: 45.0ms (29.6% of total)
ival-mult: 31.0ms (20.4% of total)
ival-cos: 21.0ms (13.8% of total)
ival-div: 19.0ms (12.5% of total)
ival-add: 14.0ms (9.2% of total)
adjust: 9.0ms (5.9% of total)
const: 8.0ms (5.3% of total)
ival-sub: 2.0ms (1.3% of total)
ival-sinh: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.5%)

Memory
17.0MiB live, 89.7MiB allocated
Counts
20 → 72
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(sinh.f64 l)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (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 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))))
(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))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(exp.f64 l)
(exp.f64 (neg.f64 l))
Outputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(* 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 (* 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
(* 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))))))))
(* 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 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
2
(+ 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 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(- (exp l) (exp (neg l)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/60 (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 l)
(exp (neg l))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(- (exp l) (exp (* -1 l)))
(exp (* -1 l))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(+ 1 (* -1/8 (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)))
(* 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))))))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(cos (* -1/2 K))
(cos (* 1/2 K))
Calls

12 calls:

TimeVariablePointExpression
7.0ms
l
@-inf
((* (* (cos (* K -1/2)) (* (sinh l) 2)) J) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (sinh l) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (cos (* 1/2 K)) (- (exp l) (exp (neg l))) (+ (* (* l l) 1/3) 2) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* l l) 1/3) 2) l) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp l) (exp (neg l)))
6.0ms
J
@-inf
((* (* (cos (* K -1/2)) (* (sinh l) 2)) J) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (sinh l) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (cos (* 1/2 K)) (- (exp l) (exp (neg l))) (+ (* (* l l) 1/3) 2) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* l l) 1/3) 2) l) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp l) (exp (neg l)))
6.0ms
l
@0
((* (* (cos (* K -1/2)) (* (sinh l) 2)) J) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (sinh l) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (cos (* 1/2 K)) (- (exp l) (exp (neg l))) (+ (* (* l l) 1/3) 2) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* l l) 1/3) 2) l) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp l) (exp (neg l)))
6.0ms
J
@0
((* (* (cos (* K -1/2)) (* (sinh l) 2)) J) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (sinh l) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (cos (* 1/2 K)) (- (exp l) (exp (neg l))) (+ (* (* l l) 1/3) 2) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* l l) 1/3) 2) l) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp l) (exp (neg l)))
5.0ms
l
@inf
((* (* (cos (* K -1/2)) (* (sinh l) 2)) J) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (sinh l) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (cos (* 1/2 K)) (- (exp l) (exp (neg l))) (+ (* (* l l) 1/3) 2) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* l l) 1/3) 2) l) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* 1/60 (* l l)) 1/3) (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp l) (exp (neg l)))

simplify179.0ms (2.1%)

Memory
-17.0MiB live, 190.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631127
18491090
22562944
35095932
47621932
08492852
Stop Event
iter limit
node limit
Counts
72 → 71
Calls
Call 1
Inputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(* 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 (* 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
(* 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))))))))
(* 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 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
2
(+ 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 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(- (exp l) (exp (neg l)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/60 (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 l)
(exp (neg l))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(- (exp l) (exp (* -1 l)))
(exp (* -1 l))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(+ 1 (* -1/8 (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)))
(* 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))))))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(cos (* -1/2 K))
(cos (* 1/2 K))
Outputs
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* 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)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* 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)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (*.f64 (*.f64 l l) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) l)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/60 (* J (cos (* -1/2 K))))))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)))) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) l)
(* 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)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.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 (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)))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
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)
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(*.f64 (fma.f64 (*.f64 #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)) (fma.f64 #s(literal 1/60 binary64) J (*.f64 #s(literal 1/2520 binary64) (*.f64 (*.f64 l l) J)))))) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
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))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 l)
(+.f64 #s(literal 1 binary64) l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal 1 binary64)) l #s(literal 1 binary64))
(+ 1 (* -1 l))
(-.f64 #s(literal 1 binary64) l)
(+ 1 (* l (- (* 1/2 l) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64))
(* (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 (- (exp l) (/ 1 (exp l))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 l) (/.f64 #s(literal -1/2 binary64) (exp.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/3 (pow l 3))
(*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* 1/60 (pow l 2))
(*.f64 #s(literal 1/60 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(* 1/60 (pow l 4))
(*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) l) l)
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(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 l)
(exp.f64 l)
(exp (neg l))
(exp.f64 (neg.f64 l))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp (* -1 l))
(exp.f64 (neg.f64 l))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(- (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)))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(- (+ (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 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/192 binary64) l (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) l)))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))
(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))

rewrite215.0ms (2.5%)

Memory
2.5MiB live, 234.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048217
080201
1198201
2926201
08346201
Stop Event
iter limit
node limit
iter limit
Counts
20 → 653
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J)
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(sinh.f64 l)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (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 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))))
(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))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(exp.f64 l)
(exp.f64 (neg.f64 l))
Outputs
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (pow.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 -1 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (pow.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 -1 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (sinh.f64 l)) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) (sinh.f64 l))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) (sinh.f64 l))
(*.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (sinh.f64 l))
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (*.f64 J (sinh.f64 l)) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 J (sinh.f64 l)))
(*.f64 (*.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 2 binary64) J))
(*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)))
(*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (*.f64 (pow.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 -1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)))
(*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (*.f64 (pow.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 -1 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J)
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)))
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(fma.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (+.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (fma.f64 (exp.f64 l) (exp.f64 l) (expm1.f64 (*.f64 l #s(literal -2 binary64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (*.f64 (exp.f64 l) #s(literal 1/2 binary64)) (/.f64 (exp.f64 l) (cosh.f64 l)) (neg.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 l)) (exp.f64 l))
(fma.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (neg.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(fma.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.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 -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 l)) (exp.f64 l))
(fma.f64 (exp.f64 l) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(-.f64 (+.f64 (exp.f64 l) #s(literal 0 binary64)) (exp.f64 (neg.f64 l)))
(-.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (neg.f64 (*.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (exp.f64 l))
(+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))
(*.f64 (exp.f64 l) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 l)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 l)))
(/.f64 (exp.f64 l) #s(literal 1 binary64))
(exp.f64 l)
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 l #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 l #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 l) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 l) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 l)))
(*.f64 (exp.f64 (neg.f64 l)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) l)
(pow.f64 (exp.f64 l) #s(literal -1 binary64))
(/.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))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) l))
(exp.f64 (neg.f64 l))

eval114.0ms (1.3%)

Memory
16.3MiB live, 204.3MiB allocated
Compiler

Compiled 24 702 to 4 007 computations (83.8% saved)

prune26.0ms (0.3%)

Memory
-11.6MiB live, 79.9MiB allocated
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New7078715
Fresh123
Picked325
Done000
Total71112723
Accuracy
100.0%
Counts
723 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
66.4%
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
96.2%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
59.5%
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
53.3%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J)) U)
91.7%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.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)
83.0%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) U)
59.5%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)) U)
59.5%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
74.9%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
33.0%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K))))) U)
44.4%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
Compiler

Compiled 639 to 505 computations (21% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize225.0ms (2.6%)

Memory
-1.7MiB live, 405.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sinh.f64 l)
accuracy0.0390625
(*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy0.0625
(*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J)
accuracy35.109288259047105
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy0.0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy0.09765625
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)
accuracy0.14453125
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
accuracy26.026241061553613
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l))
accuracy0.0
(*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)
accuracy0.0
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
accuracy0.0
(sinh.f64 l)
accuracy23.182717832605412
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J))
accuracy0.0
(*.f64 J l)
accuracy6.955366142780303
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
accuracy26.026241061553613
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))
accuracy32.53149840559603
#s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))
accuracy0.05859375
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
accuracy0.08984375
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.27911026248445137
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy4.016759753181154
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
Samples
86.0ms85×1valid
69.0ms149×0valid
28.0ms22×2valid
Compiler

Compiled 899 to 121 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-mult: 42.0ms (29.2% of total)
ival-cos: 27.0ms (18.8% of total)
adjust: 23.0ms (16% of total)
ival-exp: 19.0ms (13.2% of total)
const: 14.0ms (9.7% of total)
ival-add: 11.0ms (7.7% of total)
ival-sub: 2.0ms (1.4% of total)
ival-div: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-sinh: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series52.0ms (0.6%)

Memory
7.6MiB live, 85.1MiB allocated
Counts
19 → 70
Calls
Call 1
Inputs
#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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(*.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))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
#s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
(*.f64 J l)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J))
(sinh.f64 l)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J)
(*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
Outputs
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (* l (+ 2 (* -1/4 (pow K 2)))))
(* J l)
(* J (- (exp l) (/ 1 (exp l))))
(* J (cos (* -1/2 K)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
1/3
(+ 1/3 (* 1/60 (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 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)))))))
(* 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 (* 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)))))))))
(- (exp l) (exp (neg l)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* 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))))))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ (* -1/8 (* 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))))))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))
(cos (* -1/2 K))
Calls

12 calls:

TimeVariablePointExpression
11.0ms
J
@0
((- (exp l) (exp (neg l))) (+ (* 1/2520 (* l l)) 1/60) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* J l) (+ (* (* K K) -1/4) 2)) (* J l) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (sinh l) (* (sinh l) 2) (* (* (sinh l) 2) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (cos (* -1/2 K)) J) (* (* (* (cos (* -1/2 K)) J) 2) l) (cos (* -1/2 K)) (cos (* K -1/2)) (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) (* (cos (* K -1/2)) (* (sinh l) 2)))
9.0ms
J
@inf
((- (exp l) (exp (neg l))) (+ (* 1/2520 (* l l)) 1/60) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* J l) (+ (* (* K K) -1/4) 2)) (* J l) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (sinh l) (* (sinh l) 2) (* (* (sinh l) 2) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (cos (* -1/2 K)) J) (* (* (* (cos (* -1/2 K)) J) 2) l) (cos (* -1/2 K)) (cos (* K -1/2)) (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) (* (cos (* K -1/2)) (* (sinh l) 2)))
8.0ms
l
@-inf
((- (exp l) (exp (neg l))) (+ (* 1/2520 (* l l)) 1/60) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* J l) (+ (* (* K K) -1/4) 2)) (* J l) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (sinh l) (* (sinh l) 2) (* (* (sinh l) 2) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (cos (* -1/2 K)) J) (* (* (* (cos (* -1/2 K)) J) 2) l) (cos (* -1/2 K)) (cos (* K -1/2)) (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) (* (cos (* K -1/2)) (* (sinh l) 2)))
6.0ms
l
@inf
((- (exp l) (exp (neg l))) (+ (* 1/2520 (* l l)) 1/60) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* J l) (+ (* (* K K) -1/4) 2)) (* J l) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (sinh l) (* (sinh l) 2) (* (* (sinh l) 2) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (cos (* -1/2 K)) J) (* (* (* (cos (* -1/2 K)) J) 2) l) (cos (* -1/2 K)) (cos (* K -1/2)) (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) (* (cos (* K -1/2)) (* (sinh l) 2)))
5.0ms
J
@-inf
((- (exp l) (exp (neg l))) (+ (* 1/2520 (* l l)) 1/60) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* J l) (+ (* (* K K) -1/4) 2)) (* J l) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (sinh l) (* (sinh l) 2) (* (* (sinh l) 2) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (cos (* -1/2 K)) J) (* (* (* (cos (* -1/2 K)) J) 2) l) (cos (* -1/2 K)) (cos (* K -1/2)) (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) (* (cos (* K -1/2)) (* (sinh l) 2)))

simplify181.0ms (2.1%)

Memory
3.9MiB live, 155.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02761189
19101159
22809997
35414985
47601985
08397903
Stop Event
iter limit
node limit
Counts
70 → 68
Calls
Call 1
Inputs
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (* l (+ 2 (* -1/4 (pow K 2)))))
(* J l)
(* J (- (exp l) (/ 1 (exp l))))
(* J (cos (* -1/2 K)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
1/3
(+ 1/3 (* 1/60 (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 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)))))))
(* 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 (* 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)))))))))
(- (exp l) (exp (neg l)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* 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))))))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(+ (* -1/8 (* 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))))))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))
(cos (* -1/2 K))
Outputs
(* 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)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* l (+ 2 (* -1/4 (pow K 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) l) J)
(* J l)
(*.f64 J l)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (cos (* -1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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)
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(* 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))))))))
(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)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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))))))))))
(*.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)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
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 l))
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) J))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(* 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))))))))
(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)))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) 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))))))))))
(*.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 (* 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)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.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 (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)))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/2520 (pow l 2))
(*.f64 #s(literal 1/2520 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(* 1/2520 (pow l 4))
(*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l)
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 l) (/.f64 #s(literal -1/2 binary64) (exp.f64 l)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) l) J)
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(fma.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 (*.f64 #s(literal 2 binary64) l) J))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/192 binary64) l (*.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 K K) l)))) (*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) l) J))
J
(+ J (* -1/8 (* J (pow K 2))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) J))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(- (+ (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 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* -1/4 (* J (* (pow K 2) l)))
(*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))
(* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) l) J)
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))

rewrite228.0ms (2.7%)

Memory
-16.8MiB live, 181.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057264
086254
1250254
21340254
08299254
Stop Event
iter limit
node limit
iter limit
Counts
19 → 402
Calls
Call 1
Inputs
#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))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(*.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))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
#s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
(*.f64 J l)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J))
(sinh.f64 l)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J)
(*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
Outputs
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (pow.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64)) (pow.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))) (*.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (fma.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 l l) #s(literal 1/2520 binary64)) #s(literal 4 binary64)) #s(literal 1/12960000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/256096265048064000000 binary64) (pow.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 l l) #s(literal 1/2520 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1/12960000 binary64) (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/22861440000 binary64)))) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/256096265048064000000 binary64) (pow.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal -1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4098310578334288576512000000000 binary64) (pow.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/10077696000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/256096265048064000000 binary64) (pow.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/46656000000 binary64) (*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/3456649728000000 binary64)))) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)) #s(literal 1/3600 binary64))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 l l) #s(literal 1/2520 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (neg.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64))) (neg.f64 (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))))
(/.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 l l) #s(literal 1/2520 binary64))) (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))) (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/16003008000 binary64) #s(literal 1/216000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))))) (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)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sinh.f64 l)))
(/.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.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 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (exp.f64 l) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(fma.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 l)) (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (exp.f64 l)))
(fma.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (exp.f64 l) (/.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (neg.f64 (exp.f64 l))))
(fma.f64 (exp.f64 l) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (*.f64 (exp.f64 l) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(+.f64 (*.f64 (exp.f64 l) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (neg.f64 (exp.f64 l))) (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (exp.f64 l)))
(+.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (exp.f64 l)) (/.f64 #s(approx (cos (* K -1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (neg.f64 (exp.f64 l))))

eval81.0ms (0.9%)

Memory
10.7MiB live, 165.4MiB allocated
Compiler

Compiled 22 453 to 2 919 computations (87% saved)

prune24.0ms (0.3%)

Memory
-0.7MiB live, 88.7MiB allocated
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New5527559
Fresh145
Picked145
Done022
Total55417571
Accuracy
100.0%
Counts
571 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
96.2%
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
66.4%
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
59.5%
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
53.3%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J)) U)
91.7%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.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)
83.0%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) U)
59.5%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)) U)
43.2%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
39.3%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
59.5%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
74.9%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
37.3%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
44.4%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
34.2%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
63.7%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))) U)
47.6%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
Compiler

Compiled 904 to 696 computations (23% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize261.0ms (3.1%)

Memory
9.4MiB live, 517.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (neg.f64 l))
accuracy23.182717832605412
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J))
accuracy25.57821816109689
(-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
accuracy35.536640020010054
#s(approx (exp l) #s(literal 1 binary64))
accuracy0.11328125
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
accuracy0.14453125
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J)
accuracy26.026241061553613
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l))
accuracy35.296834762618765
#s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy0.1015625
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy4.4861786434106605
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy11.415964011435753
#s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))
accuracy23.182717832605412
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)))
accuracy0.0
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
accuracy0.0
(*.f64 #s(literal 2 binary64) l)
accuracy23.182717832605412
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))
accuracy26.025907434174613
#s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))
accuracy0.05859375
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
accuracy0.14453125
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
accuracy0.27911026248445137
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy4.016759753181154
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
Samples
108.0ms85×1valid
74.0ms149×0valid
25.0ms22×2valid
Compiler

Compiled 993 to 118 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-mult: 52.0ms (30.5% of total)
const: 36.0ms (21.1% of total)
ival-exp: 21.0ms (12.3% of total)
adjust: 20.0ms (11.7% of total)
ival-cos: 17.0ms (10% of total)
ival-add: 17.0ms (10% of total)
ival-sub: 2.0ms (1.2% of total)
ival-div: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-sinh: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
3.5MiB live, 42.3MiB allocated
Counts
20 → 63
Calls
Call 1
Inputs
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
#s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))
(*.f64 #s(literal 2 binary64) l)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)))
#s(approx (* (* (sinh l) 2) J) (*.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)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
#s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l))
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J)
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
#s(approx (exp l) #s(literal 1 binary64))
(-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J))
(exp.f64 (neg.f64 l))
Outputs
(* J (cos (* -1/2 K)))
(* J (- (exp l) (/ 1 (exp l))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J l))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 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 (* 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)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
2
(+ 2 (* 1/3 (pow l 2)))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(- (exp l) (exp (neg l)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(exp l)
(exp (neg l))
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(exp (* -1 l))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
-1/8
(- (* 1/384 (pow K 2)) 1/8)
(cos (* -1/2 K))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
Calls

12 calls:

TimeVariablePointExpression
5.0ms
l
@inf
((- (exp l) (exp (neg l))) (+ (* (* l l) 1/2520) 1/60) (* (cos (* -1/2 K)) J) (+ (* (+ (* (* l l) 1/2520) 1/60) (* l l)) 1/3) (* (* (sinh l) 2) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* 2 l) (* (* 2 l) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (sinh l) 2) J) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (cos (* -1/2 K)) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (cos (* -1/2 K)) J) (+ (* 1/384 (* K K)) -1/8) (exp l) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp (neg l)))
3.0ms
J
@0
((- (exp l) (exp (neg l))) (+ (* (* l l) 1/2520) 1/60) (* (cos (* -1/2 K)) J) (+ (* (+ (* (* l l) 1/2520) 1/60) (* l l)) 1/3) (* (* (sinh l) 2) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* 2 l) (* (* 2 l) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (sinh l) 2) J) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (cos (* -1/2 K)) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (cos (* -1/2 K)) J) (+ (* 1/384 (* K K)) -1/8) (exp l) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp (neg l)))
3.0ms
J
@-inf
((- (exp l) (exp (neg l))) (+ (* (* l l) 1/2520) 1/60) (* (cos (* -1/2 K)) J) (+ (* (+ (* (* l l) 1/2520) 1/60) (* l l)) 1/3) (* (* (sinh l) 2) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* 2 l) (* (* 2 l) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (sinh l) 2) J) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (cos (* -1/2 K)) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (cos (* -1/2 K)) J) (+ (* 1/384 (* K K)) -1/8) (exp l) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp (neg l)))
3.0ms
J
@inf
((- (exp l) (exp (neg l))) (+ (* (* l l) 1/2520) 1/60) (* (cos (* -1/2 K)) J) (+ (* (+ (* (* l l) 1/2520) 1/60) (* l l)) 1/3) (* (* (sinh l) 2) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* 2 l) (* (* 2 l) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (sinh l) 2) J) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (cos (* -1/2 K)) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (cos (* -1/2 K)) J) (+ (* 1/384 (* K K)) -1/8) (exp l) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp (neg l)))
3.0ms
l
@-inf
((- (exp l) (exp (neg l))) (+ (* (* l l) 1/2520) 1/60) (* (cos (* -1/2 K)) J) (+ (* (+ (* (* l l) 1/2520) 1/60) (* l l)) 1/3) (* (* (sinh l) 2) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* 2 l) (* (* 2 l) J) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (sinh l) 2) J) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (cos (* -1/2 K)) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (cos (* -1/2 K)) J) (+ (* 1/384 (* K K)) -1/8) (exp l) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp (neg l)))

simplify144.0ms (1.7%)

Memory
31.8MiB live, 182.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188718
1571715
21677645
33519645
08198586
Stop Event
iter limit
node limit
Counts
63 → 62
Calls
Call 1
Inputs
(* J (cos (* -1/2 K)))
(* J (- (exp l) (/ 1 (exp l))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J l))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 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 (* 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)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
2
(+ 2 (* 1/3 (pow l 2)))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(- (exp l) (exp (neg l)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(exp l)
(exp (neg l))
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(exp (* -1 l))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
-1/8
(- (* 1/384 (pow K 2)) 1/8)
(cos (* -1/2 K))
(* 1/384 (pow K 2))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
Outputs
(* J (cos (* -1/2 K)))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* 2 (* J l))
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) 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)
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.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 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) 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 (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) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(*.f64 (fma.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) 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
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 l)
(+.f64 #s(literal 1 binary64) l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal 1 binary64)) l #s(literal 1 binary64))
(+ 1 (* -1 l))
(-.f64 #s(literal 1 binary64) l)
(+ 1 (* l (- (* 1/2 l) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/2520 (pow l 2))
(*.f64 #s(literal 1/2520 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(* 1/2520 (pow l 4))
(*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l)
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(fma.f64 (*.f64 #s(literal 1/60 binary64) l) l (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (pow.f64 l #s(literal 4 binary64))))
(* 1/3 (* J (pow l 2)))
(*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(exp l)
(exp.f64 l)
(exp (neg l))
(exp.f64 (neg.f64 l))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(exp (* -1 l))
(exp.f64 (neg.f64 l))
J
(+ J (* -1/8 (* J (pow K 2))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 (*.f64 J (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) J))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 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)))))))))
(fma.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 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))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
-1/8
#s(literal -1/8 binary64)
(- (* 1/384 (pow K 2)) 1/8)
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* 1/384 (pow K 2))
(*.f64 #s(literal 1/384 binary64) (*.f64 K K))
(* (pow K 2) (- 1/384 (* 1/8 (/ 1 (pow K 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 K K))) K) K)

rewrite186.0ms (2.2%)

Memory
-7.4MiB live, 185.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056271
085261
1263261
21553261
08216261
Stop Event
iter limit
node limit
iter limit
Counts
20 → 279
Calls
Call 1
Inputs
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J)
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
#s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))
(*.f64 #s(literal 2 binary64) l)
(*.f64 (*.f64 #s(literal 2 binary64) l) J)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)))
#s(approx (* (* (sinh l) 2) J) (*.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)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
#s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l))
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J)
(fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))
#s(approx (exp l) #s(literal 1 binary64))
(-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J))
(exp.f64 (neg.f64 l))
Outputs
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(*.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (pow.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))) (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))) (fma.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 4 binary64)) #s(literal 1/12960000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/256096265048064000000 binary64) (pow.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 4 binary64)) (+.f64 #s(literal 1/12960000 binary64) (*.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/3600 binary64)))) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/256096265048064000000 binary64) (pow.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal -1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4098310578334288576512000000000 binary64) (pow.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/10077696000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/256096265048064000000 binary64) (pow.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/46656000000 binary64) (*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/3456649728000000 binary64)))) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))) (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64)) #s(literal 1/3600 binary64))) (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))))
(/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64))) (neg.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64))) (neg.f64 (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/3600 binary64)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)))))
(/.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l))) (-.f64 #s(literal 1/3600 binary64) (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3600 binary64) (-.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 l l) #s(literal 1/151200 binary64)))) (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64))
(fma.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 l (*.f64 #s(literal 1/2520 binary64) l) #s(literal 1/60 binary64))
(-.f64 (/.f64 #s(literal 1/3600 binary64) (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)))) (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64))) (neg.f64 (/.f64 #s(literal 1/3600 binary64) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal -1/60 binary64)))))
(+.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 1/60 binary64))
(+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (*.f64 l l)))
(*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) J)
(*.f64 J (cos.f64 (*.f64 K #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) (*.f64 #s(literal 1/3 binary64) l))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal -1/9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) (*.f64 #s(literal 1/3 binary64) l))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) (*.f64 #s(literal 1/3 binary64) l))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l))))
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(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))))) (*.f64 (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (*.f64 (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (neg.f64 (+.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(approx (exp l) #s(literal 1 binary64)) (neg.f64 (exp.f64 l)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (neg.f64 (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (+.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(approx (exp l) #s(literal 1 binary64)) (neg.f64 (exp.f64 l))))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 l))) (-.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (/.f64 #s(approx (exp l) #s(literal 1 binary64)) (neg.f64 (exp.f64 l))))) (-.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))))
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)))
(fma.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64))))))
(fma.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 l)) #s(approx (exp l) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 l)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))))))
(-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
(+.f64 (/.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (+.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64))))))
(+.f64 (/.f64 (pow.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))))) (neg.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp l) #s(literal 1 binary64)) (fma.f64 (exp.f64 (neg.f64 l)) #s(approx (exp l) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))))))
(+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) #s(approx (exp l) #s(literal 1 binary64)))
(+.f64 #s(approx (exp l) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 l)))
(pow.f64 (*.f64 (exp.f64 l) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) l)
(pow.f64 (exp.f64 l) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 l) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 l) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 l))))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 l) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 l))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) l))
(exp.f64 (neg.f64 l))

eval80.0ms (0.9%)

Memory
0.4MiB live, 98.6MiB allocated
Compiler

Compiled 15 455 to 2 410 computations (84.4% saved)

prune34.0ms (0.4%)

Memory
3.4MiB live, 74.5MiB allocated
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New32210332
Fresh066
Picked325
Done066
Total32524349
Accuracy
100.0%
Counts
349 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
96.2%
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
66.4%
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
59.5%
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
64.1%
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
62.8%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
52.0%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
44.2%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
91.7%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.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)
83.0%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) U)
59.5%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)) U)
43.2%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
39.3%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
59.5%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
74.9%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
37.3%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
44.4%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
34.2%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
63.0%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))) l))) U)
63.7%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
63.7%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) l))) U)
60.2%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
47.6%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
60.2%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
Compiler

Compiled 1 906 to 880 computations (53.8% saved)

regimes127.0ms (1.5%)

Memory
-7.8MiB live, 118.3MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.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 (*.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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)) U)
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
Calls

10 calls:

33.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
U
13.0ms
l
10.0ms
J
10.0ms
K
Results
AccuracySegmentsBranch
100.0%1J
100.0%1l
100.0%1K
100.0%1U
100.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
100.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
100.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
100.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
100.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
100.0%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes101.0ms (1.2%)

Memory
2.5MiB live, 196.6MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.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 (*.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 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)) U)
Outputs
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
Calls

10 calls:

13.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
K
10.0ms
U
10.0ms
l
Results
AccuracySegmentsBranch
96.2%1J
96.2%1l
96.2%1K
96.2%1U
96.2%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
96.2%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
96.2%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
96.2%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
96.2%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
96.2%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes91.0ms (1.1%)

Memory
-3.6MiB live, 153.1MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.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 (*.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)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
Calls

10 calls:

12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms
(/.f64 K #s(literal 2 binary64))
10.0ms
l
9.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
9.0ms
J
Results
AccuracySegmentsBranch
95.4%2K
92.8%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.8%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
92.8%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
95.4%2(/.f64 K #s(literal 2 binary64))
92.8%1J
96.1%3l
92.8%1U
92.8%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
95.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes59.0ms (0.7%)

Memory
-8.6MiB live, 74.8MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.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)
Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.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 (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
Calls

3 calls:

38.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms
K
9.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
95.1%2K
95.1%2(/.f64 K #s(literal 2 binary64))
95.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes81.0ms (1%)

Memory
-12.4MiB live, 149.2MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
Calls

10 calls:

9.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
9.0ms
l
9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
8.0ms
(/.f64 K #s(literal 2 binary64))
8.0ms
K
Results
AccuracySegmentsBranch
89.8%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
87.1%1J
89.4%2U
90.1%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
90.2%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
87.1%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
95.8%5l
92.7%2K
92.7%2(/.f64 K #s(literal 2 binary64))
93.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes28.0ms (0.3%)

Memory
3.2MiB live, 40.9MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) U)
Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
Calls

3 calls:

11.0ms
K
8.0ms
(/.f64 K #s(literal 2 binary64))
8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
90.8%2K
90.8%2(/.f64 K #s(literal 2 binary64))
92.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes9.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) U)
Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
Calls

1 calls:

7.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
92.0%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes99.0ms (1.2%)

Memory
-13.5MiB live, 102.5MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
Outputs
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
(+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
Calls

10 calls:

24.0ms
(/.f64 K #s(literal 2 binary64))
17.0ms
U
11.0ms
J
7.0ms
K
7.0ms
l
Results
AccuracySegmentsBranch
81.3%3J
87.5%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
77.3%2U
87.6%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
87.4%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
87.6%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
77.9%2K
77.9%2(/.f64 K #s(literal 2 binary64))
87.5%3l
85.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes42.0ms (0.5%)

Memory
8.6MiB live, 84.1MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U)
Outputs
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U)
Calls

6 calls:

9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
9.0ms
l
6.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
6.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
6.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
84.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
85.2%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
85.2%3l
85.2%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
85.4%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
85.4%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Compiler

Compiled 47 to 55 computations (-17% saved)

regimes40.0ms (0.5%)

Memory
-10.2MiB live, 36.0MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
Outputs
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
(+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
Calls

7 calls:

9.0ms
J
5.0ms
l
5.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
5.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
5.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
73.7%3J
77.6%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
77.8%3l
77.8%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
77.8%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
77.8%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
79.9%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 48 to 59 computations (-22.9% saved)

regimes60.0ms (0.7%)

Memory
21.7MiB live, 59.8MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 (*.f64 J l) K) (*.f64 #s(literal -1/4 binary64) K) (*.f64 (*.f64 #s(literal 2 binary64) l) J)))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(approx (+ (* 1/384 (* K K)) -1/8) (*.f64 #s(literal 1/384 binary64) (*.f64 K K))) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (*.f64 #s(literal 2 binary64) J) l (*.f64 (*.f64 (*.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (*.f64 K K))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) J) #s(literal 2 binary64)) l)) U)
Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)
Calls

10 calls:

13.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.0ms
l
5.0ms
(/.f64 K #s(literal 2 binary64))
5.0ms
J
5.0ms
K
Results
AccuracySegmentsBranch
68.2%3J
65.6%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
63.7%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
65.6%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
65.6%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
70.7%5l
63.7%1U
67.8%3K
67.8%3(/.f64 K #s(literal 2 binary64))
73.2%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes3.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
Calls

1 calls:

2.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
69.6%3(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
Calls

1 calls:

2.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
67.7%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes23.0ms (0.3%)

Memory
-4.1MiB live, 32.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (-.f64 #s(literal 1 binary64) l))) J)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) l))) U)
Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)
Calls

10 calls:

6.0ms
J
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
K
2.0ms
l
2.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
60.2%1U
63.6%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
63.6%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
63.6%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
63.6%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
63.6%3l
60.2%1K
60.2%1(/.f64 K #s(literal 2 binary64))
60.2%1J
60.2%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes31.0ms (0.4%)

Memory
-8.1MiB live, 29.5MiB allocated
Accuracy

Total -2.2b remaining (-6.7%)

Threshold costs -2.2b (-6.7%)

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

10 calls:

18.0ms
K
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms
U
Results
AccuracySegmentsBranch
47.6%1U
47.6%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
47.6%1J
47.6%1K
47.6%1(/.f64 K #s(literal 2 binary64))
47.6%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
47.6%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
47.6%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
47.6%1l
47.6%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9413437455440251
0.9500121624962403
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9413437455440251
0.9500121624962403
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9413437455440251
0.9500121624962403
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9413437455440251
0.9500121624962403
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9413437455440251
0.9500121624962403
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.555301416193497e+148
+inf
0.0ms
-1.941900342985536e+162
-1.0647401261383767e+57
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.21233989872272016
-0.12346927471011304
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9957827795971417
0.9999549933657658
0.0ms
-0.21233989872272016
-0.12346927471011304
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.21233989872272016
-0.12346927471011304
0.0ms
-0.9530468826820067
-0.9523534046242844
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.21233989872272016
-0.12346927471011304
0.0ms
-0.9530468826820067
-0.9523534046242844
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.21233989872272016
-0.12346927471011304
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
5.98647013078936e-175
0.0ms
-inf
-4.018457114930699e+228
Compiler

Compiled 18 to 21 computations (-16.7% saved)

simplify70.0ms (0.8%)

Memory
2.2MiB live, 86.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01821076
12511076
23811076
36351034
410611024
523331024
657491024
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.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 (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U))
(if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -999999999999999937849939638116397466450525159438967985375725315922685858882365002492855496964043060934899979621894213003182527093908649335762989920701551401238528 binary64)) (+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U) (if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 binary64)) (+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U) (+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2242792614430507/2251799813685248 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U) (+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -8583860889768165/9007199254740992 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -8583860889768165/9007199254740992 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U))
(if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U) (if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 0 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)
Outputs
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.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 (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U))
(if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -999999999999999937849939638116397466450525159438967985375725315922685858882365002492855496964043060934899979621894213003182527093908649335762989920701551401238528 binary64)) (+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U) (if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 binary64)) (+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U) (+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U)))
(if (or (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -999999999999999937849939638116397466450525159438967985375725315922685858882365002492855496964043060934899979621894213003182527093908649335762989920701551401238528 binary64)) (not (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 binary64)))) (+.f64 (*.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J) U) (+.f64 (*.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) J)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2242792614430507/2251799813685248 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U) (+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)))
(if (or (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (not (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2242792614430507/2251799813685248 binary64)))) (+.f64 (*.f64 #s(approx (* (cos (* -1/2 K)) J) (*.f64 (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 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -8583860889768165/9007199254740992 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))) l))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -8583860889768165/9007199254740992 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (-.f64 #s(approx (exp l) #s(literal 1 binary64)) #s(approx (exp (neg l)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal -1 binary64)) l #s(literal 1 binary64)))) J)) U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (* (* J l) (+ (* (* K K) -1/4) 2)) (*.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64))))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U))
(if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U) (if (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 0 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U)))
(if (or (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) (not (<=.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 0 binary64)))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) l))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (sinh l) 2) J) (*.f64 (*.f64 #s(literal 2 binary64) l) J))) U)

soundness1.9s (22.6%)

Memory
2.0MiB live, 1 082.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110397
1332397
21041341
33777321
08197292
01225
02021
15621
227921
0247121
02761189
19101159
22809997
35414985
47601985
08397903
056271
085261
1263261
21553261
08216261
0188718
1571715
21677645
33519645
08198586
02631127
18491090
22562944
35095932
47621932
08492852
048217
080201
1198201
2926201
08346201
057264
086254
1250254
21340254
08299254
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 2 064 to 1 093 computations (47% saved)

preprocess173.0ms (2%)

Memory
-17.3MiB live, 178.2MiB allocated
Remove

(abs K)

Compiler

Compiled 2 208 to 434 computations (80.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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