bug500, discussion (missed optimization)

Time bar (total: 10.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze104.0ms (0.9%)

Memory
2.7MiB live, 160.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
50.4%50.4%49.6%0%0%0%0%9
51%51%49%0%0%0%0%10
51.3%51.2%48.7%0%0%0%0%11
51.3%51.3%48.7%0%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample4.0s (37%)

Memory
-121.1MiB live, 3 193.0MiB allocated
Samples
2.4s5 552×2valid
668.0ms7 816×1exit
384.0ms2 351×1valid
20.0ms353×0valid
1.0ms5exit
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-log: 1.5s (55.3% of total)
ival-sinh: 714.0ms (25.7% of total)
ival-div: 279.0ms (10% of total)
adjust: 223.0ms (8% of total)
ival-true: 17.0ms (0.6% of total)
ival-assert: 7.0ms (0.3% of total)
Bogosity

explain200.0ms (1.8%)

Memory
12.4MiB live, 171.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
137118(-4.662544465510549e-258)1(0.24967462772579113)(log.f64 (/.f64 (sinh.f64 x) x))
00-0-(sinh.f64 x)
00-0-(/.f64 (sinh.f64 x) x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 (sinh.f64 x) x))sensitivity2461
log.f64(log.f64 (/.f64 (sinh.f64 x) x))oflow-rescue80
(sinh.f64 x)overflow8
(/.f64 (sinh.f64 x) x)overflow8
Confusion
Predicted +Predicted -
+1361
-1181
Precision
0.5354330708661418
Recall
0.9927007299270073
Confusion?
Predicted +Predicted MaybePredicted -
+13610
-11801
Precision?
0.5372549019607843
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
135.0ms348×2valid
19.0ms130×1valid
2.0ms34×0valid
Compiler

Compiled 45 to 20 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-log: 69.0ms (51.1% of total)
ival-sinh: 40.0ms (29.6% of total)
ival-div: 18.0ms (13.3% of total)
adjust: 8.0ms (5.9% of total)
ival-true: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess167.0ms (1.5%)

Memory
-6.4MiB live, 68.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
12015
25315
314815
444615
5134615
6240215
7292415
8320615
9324415
10324615
11324615
045
075
1135
2265
3525
4935
51785
63745
76445
811185
917985
1019105
1119725
1221455
1323455
1424195
1524565
1624565
1724805
024805
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
Outputs
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify105.0ms (1%)

Memory
-11.9MiB live, 32.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 x)
cost-diff0
(/.f64 (sinh.f64 x) x)
cost-diff0
(log.f64 (/.f64 (sinh.f64 x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
0712
11312
22612
35212
49312
517812
637412
764412
8111812
9179812
10191012
11197212
12214512
13234512
14241912
15245612
16245612
17248012
0248012
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x
Outputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x

localize90.0ms (0.8%)

Memory
21.1MiB live, 131.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(sinh.f64 x)
accuracy0.015625
(/.f64 (sinh.f64 x) x)
accuracy29.912174132711378
(log.f64 (/.f64 (sinh.f64 x) x))
Samples
69.0ms174×2valid
13.0ms65×1valid
1.0ms17×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-log: 36.0ms (50.5% of total)
ival-sinh: 22.0ms (30.8% of total)
ival-div: 9.0ms (12.6% of total)
adjust: 4.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series82.0ms (0.7%)

Memory
-12.3MiB live, 107.1MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
49.0ms
x
@inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
30.0ms
x
@-inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
2.0ms
x
@0
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))

simplify176.0ms (1.6%)

Memory
21.2MiB live, 203.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059394
1157390
2395384
31185384
42108384
53947384
64556380
74957380
86431380
08051362
Stop Event
iter limit
node limit
Counts
36 → 35
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))

rewrite144.0ms (1.3%)

Memory
1.4MiB live, 211.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
0711
12311
212411
393111
0854911
Stop Event
iter limit
node limit
iter limit
Counts
3 → 444
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
Outputs
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eval60.0ms (0.6%)

Memory
-15.5MiB live, 97.5MiB allocated
Compiler

Compiled 9 039 to 1 618 computations (82.1% saved)

prune25.0ms (0.2%)

Memory
-12.9MiB live, 51.1MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New46811479
Fresh000
Picked011
Done000
Total46812480
Accuracy
97.1%
Counts
480 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
30.0%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
53.3%
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 x) x))))
53.2%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
53.2%
(log.f64 (/.f64 (sinh.f64 x) x))
53.1%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
52.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
52.4%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
96.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 275 to 194 computations (29.5% saved)

simplify199.0ms (1.8%)

Memory
-5.4MiB live, 71.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 x)
cost-diff0
(/.f64 x (sinh.f64 x))
cost-diff0
(log.f64 (/.f64 x (sinh.f64 x)))
cost-diff0
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
cost-diff0
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032274
057274
1105274
2187274
3448274
41009274
51714274
62140274
72705274
83268274
93964274
104467274
114956274
127705274
08374274
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log.f64 (/.f64 x (sinh.f64 x)))
(/.f64 x (sinh.f64 x))
x
(sinh.f64 x)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log.f64 (/.f64 x (sinh.f64 x)))
(/.f64 x (sinh.f64 x))
x
(sinh.f64 x)

localize662.0ms (6.1%)

Memory
18.3MiB live, 176.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
accuracy0.01171875
(/.f64 x (sinh.f64 x))
accuracy0.01171875
(sinh.f64 x)
accuracy29.84823965863498
(log.f64 (/.f64 x (sinh.f64 x)))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.015625
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy2.408184016983257
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy29.912174132711378
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.02734375
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
accuracy0.12890625
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy0.32421875
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy2.3453820844214146
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy0
(*.f64 x x)
accuracy0.17578125
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
accuracy3.032241923946694
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.03125
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.12890625
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy0.31640625
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy2.2890738127859223
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Samples
555.0ms174×2valid
71.0ms65×1valid
5.0ms17×0valid
Compiler

Compiled 482 to 64 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 590.0ms
adjust: 352.0ms (59.7% of total)
const: 71.0ms (12% of total)
ival-log: 69.0ms (11.7% of total)
ival-sinh: 36.0ms (6.1% of total)
ival-mult: 32.0ms (5.4% of total)
ival-add: 14.0ms (2.4% of total)
ival-div: 11.0ms (1.9% of total)
ival-neg: 3.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series202.0ms (1.8%)

Memory
-8.2MiB live, 70.4MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) (patch (neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 x (sinh.f64 x))) (patch (log.f64 (/.f64 x (sinh.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 x (sinh.f64 x)) (patch (/.f64 x (sinh.f64 x)) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
108.0ms
x
@inf
((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (neg (log (/ x (sinh x)))) (log (/ x (sinh x))) (/ x (sinh x)) (sinh x) (+ (* -1/37800 (* x x)) 1/2835))
83.0ms
x
@-inf
((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (neg (log (/ x (sinh x)))) (log (/ x (sinh x))) (/ x (sinh x)) (sinh x) (+ (* -1/37800 (* x x)) 1/2835))
3.0ms
x
@0
((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (neg (log (/ x (sinh x)))) (log (/ x (sinh x))) (/ x (sinh x)) (sinh x) (+ (* -1/37800 (* x x)) 1/2835))

simplify198.0ms (1.8%)

Memory
28.5MiB live, 103.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01792626
14812586
212612576
337472576
468262576
080792450
Stop Event
iter limit
node limit
Counts
240 → 239
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* -1/6 (pow x 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))
(*.f64 (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 x x) #s(literal 7/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/2835
#s(literal 1/2835 binary64)
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
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(*.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (pow.f64 x #s(literal 8 binary64)))
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(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* -1/37800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/37800 binary64))
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(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
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(* -1/37800 (pow x 6))
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(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))) (pow.f64 x #s(literal 6 binary64)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
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(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
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(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
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(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
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(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
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(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
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(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/120 (pow x 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
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(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
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(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
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(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(*.f64 (/.f64 x (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* -1/37800 (pow x 2))
(*.f64 #s(literal -1/37800 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))

rewrite238.0ms (2.2%)

Memory
-0.8MiB live, 112.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032232
057231
1205231
21332231
08188231
Stop Event
iter limit
node limit
iter limit
Counts
20 → 453
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log.f64 (/.f64 x (sinh.f64 x)))
(/.f64 x (sinh.f64 x))
(sinh.f64 x)
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
Outputs
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eval174.0ms (1.6%)

Memory
-39.4MiB live, 144.0MiB allocated
Compiler

Compiled 19 784 to 2 700 computations (86.4% saved)

prune55.0ms (0.5%)

Memory
-7.4MiB live, 116.2MiB allocated
Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New81015825
Fresh156
Picked055
Done011
Total81126837
Accuracy
97.2%
Counts
837 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
30.0%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
53.3%
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 x) x))))
53.2%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
53.2%
(log.f64 (/.f64 (sinh.f64 x) x))
53.1%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
52.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
52.4%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
2.4%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
95.6%
#s(approx (neg (log (/ x (sinh x)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
96.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
96.2%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
94.2%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))))
94.2%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)))))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
34.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (*.f64 #s(literal 1/6 binary64) x))))) x))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x))
96.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
96.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x) x))
95.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
95.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
15.1%
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))))
Compiler

Compiled 1 079 to 611 computations (43.4% saved)

simplify151.0ms (1.4%)

Memory
14.7MiB live, 198.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 x)
cost-diff0
(sinh.f64 x)
cost-diff0
(log.f64 (sinh.f64 x))
cost-diff0
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
cost-diff0
(-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
cost-diff0
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
cost-diff0
#s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))))
cost-diff0
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
cost-diff0
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
cost-diff1088
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055450
088446
1150436
2260436
3658436
41469436
52475436
63962436
76410436
08068436
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
#s(literal -1/180 binary64)
(*.f64 x x)
x
(-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(literal -1/2835 binary64)
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(log.f64 (sinh.f64 x))
(sinh.f64 x)
x
(log.f64 x)
Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64))))))
#s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64))))
(-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64)))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
#s(literal -1/180 binary64)
(*.f64 x x)
x
(-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64))
#s(literal -1/2835 binary64)
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(log.f64 (sinh.f64 x))
(sinh.f64 x)
x
(log.f64 x)

localize293.0ms (2.7%)

Memory
-13.4MiB live, 438.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 x)
accuracy0.0078125
(sinh.f64 x)
accuracy0.7263158406257608
(log.f64 (sinh.f64 x))
accuracy15.588416049446044
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
accuracy0.09375
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
accuracy1.0878784344346422
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))))
accuracy14.359375000000002
(-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
accuracy28.820355638121146
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
accuracy0.015625
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.015625
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
accuracy0.078125
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
accuracy1.102456289835015
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
accuracy0.078125
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy0.1796875
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy1.102456289835015
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy1.5237076818517419
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy0.01953125
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.01953125
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
accuracy0.078125
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
accuracy1.0878784344346422
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
Samples
138.0ms99×2valid
44.0ms114×0invalid
30.0ms35×1valid
3.0ms0valid
Compiler

Compiled 691 to 87 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
ival-log: 43.0ms (23.8% of total)
ival-mult: 30.0ms (16.6% of total)
adjust: 27.0ms (14.9% of total)
const: 22.0ms (12.2% of total)
ival-div: 19.0ms (10.5% of total)
ival-sinh: 13.0ms (7.2% of total)
ival-add: 11.0ms (6.1% of total)
ival-pow: 9.0ms (5% of total)
ival-sub: 5.0ms (2.8% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series124.0ms (1.1%)

Memory
37.0MiB live, 192.7MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (patch #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))) (patch (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (patch (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) (patch (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) #<representation binary64>) () ())
#s(alt (log.f64 (sinh.f64 x)) (patch (log.f64 (sinh.f64 x)) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt 1/6 (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* -1/180 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1/180 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/180 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/180 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/180 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
48.0ms
x
@inf
((/ (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) x) (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (- (/ -1/180 (* x x)) (- -1/2835 (/ 1/6 (pow x 4)))) (pow x 6)) (- (/ -1/180 (* x x)) (- -1/2835 (/ 1/6 (pow x 4)))) (- (log (sinh x)) (log x)) (log (sinh x)) (sinh x) (log x) (+ (* (* x x) 1/2835) -1/180) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (+ (* -1/37800 (* x x)) 1/2835) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (/ -1/180 (* x x)))
46.0ms
x
@-inf
((/ (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) x) (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (- (/ -1/180 (* x x)) (- -1/2835 (/ 1/6 (pow x 4)))) (pow x 6)) (- (/ -1/180 (* x x)) (- -1/2835 (/ 1/6 (pow x 4)))) (- (log (sinh x)) (log x)) (log (sinh x)) (sinh x) (log x) (+ (* (* x x) 1/2835) -1/180) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (+ (* -1/37800 (* x x)) 1/2835) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (/ -1/180 (* x x)))
14.0ms
x
@0
((/ (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) x) (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (- (/ -1/180 (* x x)) (- -1/2835 (/ 1/6 (pow x 4)))) (pow x 6)) (- (/ -1/180 (* x x)) (- -1/2835 (/ 1/6 (pow x 4)))) (- (log (sinh x)) (log x)) (log (sinh x)) (sinh x) (log x) (+ (* (* x x) 1/2835) -1/180) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6) (+ (* -1/37800 (* x x)) 1/2835) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (/ -1/180 (* x x)))

simplify160.0ms (1.5%)

Memory
-24.8MiB live, 244.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01863324
14733294
212083286
334873286
468013286
081193147
Stop Event
iter limit
node limit
Counts
300 → 299
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(/ 1/6 (pow x 4))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(log x)
(+ (log x) (* 1/6 (pow x 2)))
(+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))
(+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(log x)
(log x)
(log x)
(log x)
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(- (* 1/2835 (pow x 2)) 1/180)
(- (* 1/2835 (pow x 2)) 1/180)
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(/ -37800 (pow x 6))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
1/2835
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* 1/2835 (pow x 2))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
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(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(/ -37800 (pow x 6))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
1/2835
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* 1/2835 (pow x 2))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -59/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(log x)
(log.f64 x)
(+ (log x) (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (log.f64 x))
(+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (log.f64 x)))
(+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x (log.f64 x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
-1/180
#s(literal -1/180 binary64)
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
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(*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* -1/37800 (pow x 2))
(*.f64 #s(literal -1/37800 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* -1/37800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))

rewrite186.0ms (1.7%)

Memory
28.2MiB live, 343.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055395
088390
1334380
22069380
08497372
Stop Event
iter limit
node limit
iter limit
Counts
25 → 570
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(log.f64 (sinh.f64 x))
(sinh.f64 x)
(log.f64 x)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
Outputs
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eval329.0ms (3%)

Memory
7.4MiB live, 208.2MiB allocated
Compiler

Compiled 26 801 to 3 730 computations (86.1% saved)

prune47.0ms (0.4%)

Memory
-3.4MiB live, 108.3MiB allocated
Pruning

26 alts after pruning (18 fresh and 8 done)

PrunedKeptTotal
New98312995
Fresh9615
Picked325
Done066
Total995261 021
Accuracy
97.2%
Counts
1 021 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
30.0%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
53.3%
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 x) x))))
53.2%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
53.2%
(log.f64 (/.f64 (sinh.f64 x) x))
53.1%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
52.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
52.4%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
2.4%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
95.6%
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
94.3%
#s(approx (log (/ (sinh x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
96.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))))
96.1%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
95.1%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
96.0%
#s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
94.2%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))))
94.3%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
96.5%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
96.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
95.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
96.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
95.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
15.1%
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ -1/180 (* x x)) (- -1/2835 (/ 1/6 (pow x 4)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))))
Compiler

Compiled 646 to 444 computations (31.3% saved)

simplify131.0ms (1.2%)

Memory
-23.8MiB live, 74.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))))
cost-diff1792
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
cost-diff5760
(/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff0
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
cost-diff0
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
cost-diff0
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
cost-diff0
#s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff0
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
cost-diff0
#s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))))
cost-diff0
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061634
095634
1160626
2265626
3606626
41415626
52554626
64808626
75751626
86599626
97107626
107749626
08024617
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))))
x
#s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64))
(fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64))
#s(literal 31/94500 binary64)
(*.f64 x x)
#s(literal -19/3150 binary64)
#s(literal 1/5 binary64)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
#s(literal 1/5 binary64)
#s(literal 6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
#s(literal 1 binary64)
(/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))))
x
#s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64))
(fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64))
(fma.f64 (*.f64 x x) #s(literal 31/94500 binary64) #s(literal -19/3150 binary64))
#s(literal 31/94500 binary64)
(*.f64 x x)
#s(literal -19/3150 binary64)
#s(literal 1/5 binary64)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
#s(literal 1/5 binary64)
#s(literal 6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
#s(literal 1 binary64)
(/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(literal -1 binary64)

localize362.0ms (3.3%)

Memory
24.4MiB live, 376.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
accuracy0.1015625
(/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))
accuracy1.3204109573413676
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
accuracy2.3453820844214146
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))))
accuracy0.31640625
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy2.408184016983257
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
accuracy29.912174132711378
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
accuracy59.30128667618078
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy0.01171875
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
accuracy0.13671875
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
accuracy2.2890738127859223
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
accuracy2.4871079618148455
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
accuracy0.01171875
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy0.12890625
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)
accuracy2.3453820844214146
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
accuracy3.279889728789793
#s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))
accuracy0.03125
(fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64))
accuracy0.12890625
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)
accuracy2.3360888498279078
#s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))
accuracy2.3453820844214146
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
Samples
224.0ms174×2valid
86.0ms65×1valid
7.0ms17×0valid
Compiler

Compiled 814 to 91 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 268.0ms
const: 69.0ms (25.7% of total)
adjust: 43.0ms (16% of total)
ival-mult: 42.0ms (15.7% of total)
ival-log: 36.0ms (13.4% of total)
ival-div: 24.0ms (8.9% of total)
ival-add: 24.0ms (8.9% of total)
ival-sinh: 23.0ms (8.6% of total)
ival-pow: 7.0ms (2.6% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.4%)

Memory
-25.4MiB live, 58.8MiB allocated
Counts
24 → 288
Calls
Call 1
Inputs
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) (patch (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) (patch (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))) (patch #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (patch (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x)))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (patch (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) (patch (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
@inf
((log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (+ (* 1/120 (* x x)) 1/6) x) x) (/ (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (* x x)) (/ 1 (/ (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (* x x))) (log (/ (sinh x) x)) (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (+ (* 31/94500 (* x x)) -19/3150) (+ (* 1/5 (* x x)) 6) (* (+ (* 1/120 (* x x)) 1/6) x) (+ (* -1/37800 (* x x)) 1/2835))
9.0ms
x
@-inf
((log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (+ (* 1/120 (* x x)) 1/6) x) x) (/ (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (* x x)) (/ 1 (/ (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (* x x))) (log (/ (sinh x) x)) (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (+ (* 31/94500 (* x x)) -19/3150) (+ (* 1/5 (* x x)) 6) (* (+ (* 1/120 (* x x)) 1/6) x) (+ (* -1/37800 (* x x)) 1/2835))
2.0ms
x
@0
((log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) x) (/ x (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6))) (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6))) (* x x) (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (+ (* 1/120 (* x x)) 1/6) x) x) (/ (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (* x x)) (/ 1 (/ (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (* x x))) (log (/ (sinh x) x)) (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (+ (* 31/94500 (* x x)) -19/3150) (+ (* 1/5 (* x x)) 6) (* (+ (* 1/120 (* x x)) 1/6) x) (+ (* -1/37800 (* x x)) 1/2835))

simplify142.0ms (1.3%)

Memory
8.6MiB live, 117.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01923284
15013262
212513254
331223252
468813250
081603090
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(/ 6 (pow x 2))
(/ (+ 6 (* 1/5 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150))))) (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
-19/3150
(- (* 31/94500 (pow x 2)) 19/3150)
(- (* 31/94500 (pow x 2)) 19/3150)
(- (* 31/94500 (pow x 2)) 19/3150)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* 1/5 (pow x 2)))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(/ -37800 (pow x 6))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(/ -37800 (pow x 6))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(/ -37800 (pow x 8))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 8)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 8))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 8))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(/ -37800 (pow x 6))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(* 31/94500 (pow x 2))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(/ -37800 (pow x 6))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(/ -37800 (pow x 6))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(/ -37800 (pow x 8))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 8)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 8))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 8))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(/ -37800 (pow x 6))
(* -1 (/ (+ 37800 (* 504000 (/ 1 (pow x 2)))) (pow x 6)))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (* 504000 (/ 1 (pow x 2))))) (pow x 6))
(/ (- (/ 1218000 (pow x 4)) (+ 37800 (+ (* 504000 (/ 1 (pow x 2))) (* 116060000 (/ 1 (pow x 6)))))) (pow x 6))
(* 31/94500 (pow x 2))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* (pow x 2) (- 31/94500 (* 19/3150 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -59/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 1/5 (pow x 2))) (pow x 2))
(+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1/5 binary64))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 31/94500 (pow x 2)) 19/3150)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
-19/3150
#s(literal -19/3150 binary64)
(- (* 31/94500 (pow x 2)) 19/3150)
(fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64))
(- (* 31/94500 (pow x 2)) 19/3150)
(fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64))
(- (* 31/94500 (pow x 2)) 19/3150)
(fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64))
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/2835
#s(literal 1/2835 binary64)
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(* -1/37800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/37800 binary64))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* -1/37800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/37800 binary64))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))))
(/ -37800 (pow x 6))
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rewrite198.0ms (1.8%)

Memory
22.6MiB live, 269.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061545
095545
1358535
22288535
08546526
Stop Event
iter limit
node limit
iter limit
Counts
24 → 436
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
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(*.f64 x x)
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))))
(pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
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eval115.0ms (1.1%)

Memory
6.8MiB live, 197.6MiB allocated
Compiler

Compiled 20 788 to 2 857 computations (86.3% saved)

prune42.0ms (0.4%)

Memory
-36.7MiB live, 90.5MiB allocated
Pruning

25 alts after pruning (13 fresh and 12 done)

PrunedKeptTotal
New9184922
Fresh4913
Picked145
Done088
Total92325948
Accuracy
97.2%
Counts
948 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.3%
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
30.0%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
53.3%
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 x) x))))
53.2%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
53.2%
(log.f64 (/.f64 (sinh.f64 x) x))
53.1%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
52.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
52.4%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
2.4%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
2.4%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(approx (* (* (+ (* 1/120 (* x x)) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
95.6%
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.1%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
96.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))))
96.1%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
95.1%
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
94.1%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (* x x)) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1/5 binary64)))))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
96.5%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
96.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
95.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
96.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
95.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
15.1%
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ -1/180 (* x x)) (- -1/2835 (/ 1/6 (pow x 4)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))))
Compiler

Compiled 1 118 to 440 computations (60.6% saved)

regimes33.0ms (0.3%)

Memory
17.2MiB live, 56.3MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (neg (log (/ x (sinh x)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (* x x)) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1/5 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(approx (* (* (+ (* 1/120 (* x x)) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))))
(log.f64 (/.f64 (sinh.f64 x) x))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ -1/180 (* x x)) (- -1/2835 (/ 1/6 (pow x 4)))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 x) x))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (*.f64 #s(literal 1/6 binary64) x))))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal 4 binary64)) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
Calls

3 calls:

12.0ms
x
9.0ms
(/.f64 (sinh.f64 x) x)
9.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
96.5%1x
96.5%1(log.f64 (/.f64 (sinh.f64 x) x))
96.5%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (neg (log (/ x (sinh x)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (* x x)) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1/5 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
Calls

3 calls:

5.0ms
x
4.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
4.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
96.2%1x
96.2%1(log.f64 (/.f64 (sinh.f64 x) x))
96.2%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes83.0ms (0.8%)

Memory
-29.2MiB live, 9.8MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (neg (log (/ x (sinh x)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (* x x)) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1/5 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

3 calls:

76.0ms
x
3.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
3.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
96.2%1x
96.2%1(log.f64 (/.f64 (sinh.f64 x) x))
96.2%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (neg (log (/ x (sinh x)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) -1) (* x x)) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1/5 binary64)))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 (sinh.f64 x) x)
3.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
96.1%1x
96.1%1(log.f64 (/.f64 (sinh.f64 x) x))
96.1%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (neg (log (/ x (sinh x)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

3 calls:

3.0ms
x
2.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
95.6%1x
95.6%1(log.f64 (/.f64 (sinh.f64 x) x))
95.6%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
Calls

3 calls:

2.0ms
x
2.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
95.1%1x
95.1%1(log.f64 (/.f64 (sinh.f64 x) x))
95.1%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Accuracy

Total -0.1b remaining (-2.7%)

Threshold costs -0.1b (-2.7%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Calls

3 calls:

1.0ms
x
1.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
95.0%1x
95.0%1(log.f64 (/.f64 (sinh.f64 x) x))
95.0%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

simplify182.0ms (1.7%)

Memory
-25.2MiB live, 23.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053188
165188
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))

soundness1.2s (10.8%)

Memory
15.2MiB live, 403.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032232
057231
1205231
21332231
08188231
059394
1157390
2395384
31185384
42108384
53947384
64556380
74957380
86431380
08051362
01863324
14733294
212083286
334873286
468013286
081193147
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 220 to 125 computations (43.2% saved)

preprocess148.0ms (1.4%)

Memory
3.7MiB live, 83.8MiB allocated
Compiler

Compiled 250 to 122 computations (51.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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