bug500, discussion (missed optimization)

Time bar (total: 12.6s)

analyze99.0ms (0.8%)

Memory
-4.6MiB live, 154.5MiB 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)

sample3.8s (30.3%)

Memory
-209.1MiB live, 3 352.1MiB allocated
Samples
2.0s5 512×2valid
681.0ms7 902×1exit
332.0ms2 377×1valid
20.0ms367×0valid
0.0ms5exit
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-log: 1.2s (51.5% of total)
ival-sinh: 670.0ms (28.5% of total)
ival-div: 240.0ms (10.2% of total)
adjust: 211.0ms (9% of total)
ival-true: 12.0ms (0.5% of total)
ival-assert: 6.0ms (0.3% of total)
Bogosity

preprocess184.0ms (1.5%)

Memory
2.9MiB live, 118.9MiB allocated
Algorithm
egg-herbie
Rules
1 072×lower-fma.f64
1 072×lower-fma.f32
784×lower-*.f64
784×lower-*.f32
648×times-frac
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))

explain239.0ms (1.9%)

Memory
9.0MiB live, 207.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
132120(1.5520846142666334e-195)0-(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))sensitivity2432
log.f64(log.f64 (/.f64 (sinh.f64 x) x))oflow-rescue90
(sinh.f64 x)overflow9
(/.f64 (sinh.f64 x) x)overflow9
Confusion
Predicted +Predicted -
+1320
-1204
Precision
0.5238095238095238
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13200
-12022
Precision?
0.5196850393700787
Recall?
1.0
Freqs
test
numberfreq
04
1252
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
126.0ms334×2valid
29.0ms34×0valid
26.0ms144×1valid
Compiler

Compiled 40 to 20 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-log: 66.0ms (49.7% of total)
ival-sinh: 43.0ms (32.4% of total)
ival-div: 16.0ms (12.1% of total)
adjust: 7.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify120.0ms (1%)

Memory
13.7MiB live, 88.6MiB 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))
Rules
1 072×lower-fma.f64
1 072×lower-fma.f32
784×lower-*.f64
784×lower-*.f32
584×div-sub
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

localize96.0ms (0.8%)

Memory
-4.5MiB live, 116.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sinh.f64 x)
accuracy100.0%
(/.f64 (sinh.f64 x) x)
accuracy53.7%
(log.f64 (/.f64 (sinh.f64 x) x))
Samples
77.0ms167×2valid
10.0ms72×1valid
1.0ms17×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-log: 40.0ms (51.7% of total)
ival-sinh: 26.0ms (33.6% of total)
ival-div: 8.0ms (10.3% of total)
adjust: 3.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series65.0ms (0.5%)

Memory
20.6MiB live, 95.5MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (log.f64 (/.f64 (sinh.f64 x) x))>
#<alt (/.f64 (sinh.f64 x) x)>
#<alt (sinh.f64 x)>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
Calls

9 calls:

TimeVariablePointExpression
35.0ms
x
@inf
(log (/ (sinh x) x))
28.0ms
x
@-inf
(log (/ (sinh x) x))
2.0ms
x
@0
(log (/ (sinh x) x))
0.0ms
x
@0
(/ (sinh x) x)
0.0ms
x
@0
(sinh x)

simplify422.0ms (3.3%)

Memory
-28.9MiB live, 413.0MiB allocated
Algorithm
egg-herbie
Rules
16 092×lower-fma.f64
16 092×lower-fma.f32
4 562×lower-*.f64
4 562×lower-*.f32
2 156×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059394
1157390
2395384
31186384
42106384
53935384
64551380
74952380
86424380
08057362
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))))
(+ (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)))
(+ (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
(+ 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)))))))
(* 1/2 (/ (- (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))) 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))
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))))))))
(* 1/2 (- (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))))
(* 1/2 (- (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 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 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) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 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 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite214.0ms (1.7%)

Memory
42.9MiB live, 352.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 024×lower-*.f64
4 024×lower-*.f32
3 684×lower-/.f32
3 682×lower-/.f64
2 016×lower-fma.f64
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
(log.f64 (/.f64 (sinh.f64 x) x))
(+.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64))
(+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (+.f64 x x))))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (sinh.f64 x) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (/.f64 x (sinh.f64 x))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 (neg.f64 x)))))
(+.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))
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(fma.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (sinh.f64 x)))
(neg.f64 (sinh.f64 (neg.f64 x)))
(sinh.f64 x)
(/.f64 (sinh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal -2 binary64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (fma.f64 #s(literal -2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal -2 binary64)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 x x))) (exp.f64 (-.f64 (neg.f64 x) x))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (sinh.f64 x)))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))) (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (sinh.f64 x))
(/.f64 (fma.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sinh.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(pow.f64 (sinh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x)))
(*.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 x) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(*.f64 (cosh.f64 x) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1/4 binary64))
(*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(*.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))

eval58.0ms (0.5%)

Memory
4.4MiB live, 119.9MiB allocated
Compiler

Compiled 9 242 to 1 608 computations (82.6% saved)

prune109.0ms (0.9%)

Memory
-9.5MiB live, 154.5MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New46415479
Fresh000
Picked011
Done000
Total46416480
Accuracy
96.8%
Counts
480 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.1%
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x))))
53.6%
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
3.3%
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))))
28.1%
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 (sinh.f64 x) x))))
25.5%
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x)))
28.1%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
53.6%
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
53.7%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
53.7%
(log.f64 (/.f64 (sinh.f64 x) x))
53.1%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
52.6%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
52.2%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
95.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
94.5%
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
94.4%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Compiler

Compiled 558 to 300 computations (46.2% saved)

simplify466.0ms (3.7%)

Memory
3.8MiB live, 464.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sinh.f64 x) x)
cost-diff0
(log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))
cost-diff5824
(pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))
cost-diff14016
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
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
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
Rules
15 892×lower-fma.f32
15 886×lower-fma.f64
2 580×lower-*.f32
2 570×lower-*.f64
1 890×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029186
049177
188177
2186177
3346177
4474177
5571177
6776177
71190177
81815177
92525177
103221177
113586177
124551177
135700177
145955177
156160177
166296177
176928177
187190177
197535177
207563177
217583177
227591177
237591177
247591177
08283177
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(*.f64 x #s(literal 1/2835 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#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)
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
(log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x
#s(literal 1/2 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
x
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(*.f64 x #s(literal 1/2835 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (sinh x) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#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)
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
(*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 x) x))) #s(literal 2 binary64))
(log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))
(log.f64 (sqrt.f64 (/.f64 (sinh.f64 x) x)))
(pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x
#s(literal 1/2 binary64)

localize424.0ms (3.4%)

Memory
-1.3MiB live, 526.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sinh.f64 x)
accuracy100.0%
(/.f64 (sinh.f64 x) x)
accuracy100.0%
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
accuracy53.7%
(log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))
accuracy100.0%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
accuracy100.0%
(sinh.f64 x)
accuracy100.0%
(/.f64 x (sinh.f64 x))
accuracy53.7%
(log.f64 (/.f64 x (sinh.f64 x)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy94.8%
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy53.7%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy94.7%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
accuracy99.8%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
accuracy99.5%
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
accuracy99.3%
(*.f64 x #s(literal 1/2835 binary64))
accuracy95.5%
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
Samples
316.0ms167×2valid
58.0ms72×1valid
4.0ms17×0valid
Compiler

Compiled 160 to 27 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 342.0ms
ival-log: 204.0ms (59.7% of total)
adjust: 35.0ms (10.2% of total)
ival-sinh: 27.0ms (7.9% of total)
ival-sqrt: 19.0ms (5.6% of total)
const: 16.0ms (4.7% of total)
ival-mult: 15.0ms (4.4% of total)
ival-div: 12.0ms (3.5% of total)
ival-add: 9.0ms (2.6% of total)
ival-neg: 3.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series152.0ms (1.2%)

Memory
14.2MiB live, 168.5MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#<alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))>
#<alt #s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))>
#<alt #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))>
#<alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))>
#<alt (log.f64 (/.f64 x (sinh.f64 x)))>
#<alt (/.f64 x (sinh.f64 x))>
#<alt (sinh.f64 x)>
#<alt (+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))>
#<alt (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))>
#<alt (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))>
#<alt (/.f64 (sinh.f64 x) x)>
#<alt (*.f64 x #s(literal 1/2835 binary64))>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/1440 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/1440 (* 1/24192 (pow x 2)))))))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* -1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/5670 (pow x 2)) 1/360))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* (pow x 2) (+ 1/5670 (* -1/75600 (pow x 2)))) 1/360))))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
Calls

57 calls:

TimeVariablePointExpression
58.0ms
x
@inf
(neg (log (/ x (sinh x))))
42.0ms
x
@-inf
(neg (log (/ x (sinh x))))
21.0ms
x
@-inf
(+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2)))
21.0ms
x
@inf
(+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2)))
1.0ms
x
@0
(+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2)))

simplify604.0ms (4.8%)

Memory
-20.5MiB live, 542.8MiB allocated
Algorithm
egg-herbie
Rules
15 800×lower-fma.f64
15 800×lower-fma.f32
4 324×lower-*.f64
4 324×lower-*.f32
3 168×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01822454
14742418
211782408
334042408
451642408
083262300
Stop Event
iter limit
node limit
Counts
228 → 227
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))))
(+ (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)))
(+ (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))
(* (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))))
(* 1/2835 (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)))))
(* 1/6 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))))
(* 1/2835 (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 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))))))
1/6
(+ 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 (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)))))
(* 1/2835 (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)))))
(* 1/6 (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 (* 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)))
(+ (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))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 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)
(pow x 2)
(pow x 2)
(pow x 2)
(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))))
(+ (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)))
(+ (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
(+ 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)))))))
(* 1/2 (/ (- (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))) 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
(+ 1 (* 1/6 (pow x 2)))
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(+ 1 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (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 (+ (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)))))
(* -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)))))
(* -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))
(+ (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))))
(+ (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))))
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)))
(* 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)))))
(* 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)))))
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))))))))
(* 1/2 (- (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))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 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))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/1440 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/1440 (* 1/24192 (pow x 2)))))))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* -1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/5670 (pow x 2)) 1/360))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (- (* (pow x 2) (+ 1/5670 (* -1/75600 (pow x 2)))) 1/360))))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 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))) 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))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.f64 x))))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* 1/2835 (pow x 6))
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* 1/2835 (pow x 6))
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* 1/2835 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
(* 1/2835 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.f64 x))))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 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)
(pow x 2)
(*.f64 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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.f64 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) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 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 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
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(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))

rewrite106.0ms (0.8%)

Memory
25.0MiB live, 101.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
608×lower-fma.f32
602×lower-fma.f64
560×lower-*.f32
550×lower-*.f64
316×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029160
049147
1161137
01024137
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
19 → 261
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x x)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #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))
(sinh.f64 x)
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))
(log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))
(/.f64 (sinh.f64 x) x)
(*.f64 x #s(literal 1/2835 binary64))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) x)
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/6 binary64))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(+.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #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 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) x #s(literal 1/6 binary64))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2835 binary64) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x) x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
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(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(log.f64 (/.f64 (sinh.f64 x) x))
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (sinh.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (sinh.f64 x)))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(neg.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 (sinh.f64 x)) (log.f64 (sinh.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (sinh.f64 x)) (log.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (sinh.f64 x)) (log.f64 (sinh.f64 x))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (sinh.f64 x)) (log.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (sinh.f64 x) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (sinh.f64 x))))
(/.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (neg.f64 (sinh.f64 x))) (sqrt.f64 (neg.f64 x)))
(pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sinh.f64 x) x) (/.f64 (sinh.f64 x) x)) #s(literal 1/4 binary64))
(*.f64 (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))) (log.f64 (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))))
(neg.f64 (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(sqrt.f64 (*.f64 (/.f64 (sinh.f64 x) x) (/.f64 (sinh.f64 x) x)))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sinh.f64 x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sinh.f64 x)) #s(literal 1 binary64)))
(/.f64 (sinh.f64 x) x)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sinh.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sinh.f64 x) x) (/.f64 (sinh.f64 x) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) x))
(*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x))
(*.f64 (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) (*.f64 (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (sinh.f64 x)))
(*.f64 (*.f64 (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))))
(*.f64 x #s(literal 1/2835 binary64))
(*.f64 #s(literal 1/2835 binary64) x)

eval72.0ms (0.6%)

Memory
-18.5MiB live, 105.5MiB allocated
Compiler

Compiled 11 014 to 991 computations (91% saved)

prune69.0ms (0.5%)

Memory
10.7MiB live, 173.3MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New62115636
Fresh2810
Picked235
Done011
Total62527652
Accuracy
96.9%
Counts
652 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.1%
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x))))
53.6%
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
3.3%
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))))
28.1%
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 (sinh.f64 x) x))))
25.5%
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x)))
28.1%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
53.7%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
44.9%
(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)))
94.4%
(neg.f64 #s(approx (log (/ x (sinh x))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal -1/6 binary64)))))
53.7%
(log.f64 (/.f64 (sinh.f64 x) x))
53.1%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
52.6%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
52.2%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
2.4%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
95.1%
#s(approx (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
94.5%
#s(approx (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
4.2%
#s(approx (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
95.2%
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))))
95.1%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))
95.2%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
94.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
20.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))))))
94.4%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Compiler

Compiled 1 211 to 549 computations (54.7% saved)

simplify217.0ms (1.7%)

Memory
-14.3MiB live, 219.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 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 x x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))))))
cost-diff960
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))
cost-diff1792
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
cost-diff0
(*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))))
cost-diff640
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
Rules
4 744×lower-fma.f32
4 734×lower-fma.f64
4 248×lower-*.f32
4 222×lower-*.f64
1 230×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046429
075412
1162377
2332349
3599339
4979339
51670328
62702328
73794328
84974328
96625328
08055320
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))))))
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))))
x
#s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(*.f64 x #s(literal -1/180 binary64))
#s(literal -1/180 binary64)
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(literal 1/2835 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(literal 1/6 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 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)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))))))
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))))
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))))
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
x
#s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))))
#s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 x #s(literal -1/180 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/180 binary64))
(*.f64 x #s(literal -1/180 binary64))
#s(literal -1/180 binary64)
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(*.f64 x (fma.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(literal 1/2835 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
#s(literal 1/6 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x x)
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(log.f64 (sinh.f64 x))
(sinh.f64 x)
x
(log.f64 x)

localize303.0ms (2.4%)

Memory
-10.6MiB live, 311.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 x)
accuracy100.0%
(sinh.f64 x)
accuracy98.9%
(log.f64 (sinh.f64 x))
accuracy78.9%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
accuracy99.9%
(*.f64 x #s(literal 1/120 binary64))
accuracy98.0%
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
accuracy77.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
accuracy99.9%
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy99.8%
(*.f64 x #s(literal -1/180 binary64))
accuracy98.1%
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))))))
accuracy62.6%
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
accuracy99.9%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
accuracy99.7%
(*.f64 x #s(literal 1/6 binary64))
accuracy97.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
accuracy99.9%
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
accuracy99.8%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
accuracy99.7%
(*.f64 x #s(literal 1/6 binary64))
accuracy98.1%
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))))
Samples
103.0ms85×2valid
69.0ms37×1valid
42.0ms127×0invalid
2.0ms0valid
Compiler

Compiled 286 to 44 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 172.0ms
ival-log: 71.0ms (41.2% of total)
ival-mult: 39.0ms (22.6% of total)
const: 16.0ms (9.3% of total)
adjust: 14.0ms (8.1% of total)
ival-add: 13.0ms (7.5% of total)
ival-sinh: 11.0ms (6.4% of total)
ival-div: 6.0ms (3.5% of total)
ival-sub: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series122.0ms (1%)

Memory
39.8MiB live, 154.4MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))>
#<alt #s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))>
#<alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))>
#<alt (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)>
#<alt (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))>
#<alt (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))>
#<alt #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))))))>
#<alt (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))))>
#<alt (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))>
#<alt (log.f64 (sinh.f64 x))>
#<alt (sinh.f64 x)>
#<alt (log.f64 x)>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))>
#<alt (*.f64 x #s(literal -1/180 binary64))>
#<alt (*.f64 (*.f64 x x) (*.f64 x x))>
#<alt (*.f64 x #s(literal 1/120 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/2835 (pow x 4))))>
#<alt (* x (+ 1/6 (* 1/2835 (pow x 4))))>
#<alt (* x (+ 1/6 (* 1/2835 (pow x 4))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log x)>
#<alt (+ (log x) (* 1/6 (pow x 2)))>
#<alt (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))>
#<alt (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))>
#<alt (log (* 1/2 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* 1/2 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* 1/2 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* 1/2 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* 1/2 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* 1/2 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* 1/2 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* 1/2 (- (exp x) (/ 1 (exp x)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (* -1/180 x)>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
Calls

69 calls:

TimeVariablePointExpression
85.0ms
x
@-inf
(- (log (sinh x)) (log x))
19.0ms
x
@inf
(- (log (sinh x)) (log x))
6.0ms
x
@0
(log x)
1.0ms
x
@0
(* (+ 1/2835 (/ 1/6 (* (* x x) (* x x)))) (* (* (* x x) (* x x)) x))
1.0ms
x
@0
(- (log (sinh x)) (log x))

simplify399.0ms (3.2%)

Memory
4.6MiB live, 557.4MiB allocated
Algorithm
egg-herbie
Rules
14 590×lower-fma.f64
14 590×lower-fma.f32
3 822×lower-*.f64
3 822×lower-*.f32
2 610×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222406
13412372
28442372
323522364
449762364
572362364
080802252
Stop Event
iter limit
node limit
Counts
276 → 275
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))))
(* 1/2835 (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)))))
(* 1/6 (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 (* 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)))
(+ (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 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/2835 (* 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 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (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))))
(+ (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)))
(+ (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))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* x (+ 1/6 (* 1/2835 (pow x 4))))
(* x (+ 1/6 (* 1/2835 (pow x 4))))
(* x (+ 1/6 (* 1/2835 (pow x 4))))
(* 1/2835 (pow x 5))
(* (pow x 5) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))
(* 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))))
(* 1/2835 (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 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))))))
(* 1/6 (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 (* 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)))
(+ (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))
(* (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))))
(* 1/2835 (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)))))
(* 1/6 (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 (* 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)))
(+ (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
(+ 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)))))))
(* 1/2 (/ (- (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))) 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
(+ 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)))))
(* 1/120 (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))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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))))
(- (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) (* -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 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)))))
(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)))))
(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)))))
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))))))))
(* 1/2 (- (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))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 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))))
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 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)))))
(* 1/120 (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)))))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* 1/2835 (pow x 6))
(*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* 1/2835 (pow x 6))
(*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.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))) (neg.f64 (log.f64 (neg.f64 x))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* -1/180 (pow x 4))
(*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))))
(* 1/2835 (pow x 6))
(*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* 1/2835 (pow x 6))
(*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
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(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 #s(literal -1 binary64))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 #s(literal -1 binary64))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 #s(literal -1 binary64))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 #s(literal -1 binary64))))
(log x)
(log.f64 x)
(+ (log x) (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (log.f64 x))
(+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (log.f64 x))
(+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (log.f64 x))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 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 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* 1/2835 (pow x 3))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* 1/2835 (pow x 3))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))

rewrite360.0ms (2.9%)

Memory
-35.1MiB live, 537.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 722×lower-fma.f32
5 712×lower-fma.f64
4 152×lower-*.f32
4 126×lower-*.f64
4 106×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046311
075290
1292257
21951249
08214240
Stop Event
iter limit
node limit
iter limit
Counts
23 → 328
Calls
Call 1
Inputs
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))))))
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(log.f64 (sinh.f64 x))
(sinh.f64 x)
(log.f64 x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(*.f64 x #s(literal -1/180 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x #s(literal 1/120 binary64))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
Outputs
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (*.f64 x (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
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(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))

eval111.0ms (0.9%)

Memory
22.5MiB live, 95.5MiB allocated
Compiler

Compiled 22 342 to 1 538 computations (93.1% saved)

prune151.0ms (1.2%)

Memory
3.0MiB live, 162.6MiB allocated
Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New7466752
Fresh21618
Picked145
Done044
Total74930779
Accuracy
96.9%
Counts
779 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.1%
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x))))
53.6%
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
3.3%
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))))
28.1%
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 (sinh.f64 x) x))))
25.5%
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x)))
28.1%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
53.7%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
44.9%
(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)))
94.4%
(neg.f64 #s(approx (log (/ x (sinh x))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal -1/6 binary64)))))
53.7%
(log.f64 (/.f64 (sinh.f64 x) x))
53.1%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
52.6%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
52.2%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
2.5%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
2.2%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))))
2.4%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
94.5%
#s(approx (- (log (sinh x)) (log x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
95.1%
#s(approx (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
4.2%
#s(approx (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
95.2%
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))))
28.6%
#s(approx (log (/ (sinh x) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
95.2%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
94.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
24.6%
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))))
20.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) x))))))
94.4%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Compiler

Compiled 1 256 to 582 computations (53.7% saved)

simplify395.0ms (3.1%)

Memory
-16.9MiB live, 308.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sinh.f64 x)
cost-diff0
(*.f64 (sinh.f64 x) #s(literal -2 binary64))
cost-diff0
(log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)))
cost-diff0
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x)))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
cost-diff0
#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
cost-diff0
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
cost-diff0
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x)
cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
cost-diff0
#s(approx (- (log (sinh x)) (log x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
cost-diff0
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64))))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))))
cost-diff320
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))
Rules
6 612×lower-fma.f32
6 600×lower-fma.f64
4 280×lower-*.f32
4 250×lower-*.f64
2 684×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055482
091482
1184466
2446456
31382456
43144456
54069456
66880456
08421448
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64))))
x
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (- (log (sinh x)) (log x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -1/180 binary64))
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
x
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))
(*.f64 x x)
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #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)
#s(literal -1/180 binary64)
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x)))
(log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)))
(*.f64 (sinh.f64 x) #s(literal -2 binary64))
(sinh.f64 x)
x
#s(literal -2 binary64)
(log.f64 (-.f64 (neg.f64 x) x))
(-.f64 (neg.f64 x) x)
(neg.f64 x)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
x
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (- (log (sinh x)) (log x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -1/180 binary64))
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
x
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))
(*.f64 x x)
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #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)
#s(literal -1/180 binary64)
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x)))
(log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)))
(*.f64 (sinh.f64 x) #s(literal -2 binary64))
(sinh.f64 x)
x
#s(literal -2 binary64)
(log.f64 (-.f64 (neg.f64 x) x))
(-.f64 (neg.f64 x) x)
(neg.f64 x)

localize251.0ms (2%)

Memory
21.2MiB live, 215.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sinh.f64 x)
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(log.f64 (-.f64 (neg.f64 x) x))
accuracy100.0%
(log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)))
accuracy100.0%
(*.f64 x #s(literal 1/120 binary64))
accuracy100.0%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
accuracy100.0%
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
accuracy100.0%
#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
accuracy100.0%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
accuracy100.0%
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
accuracy100.0%
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
accuracy100.0%
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
accuracy100.0%
(*.f64 x #s(literal -1/180 binary64))
accuracy100.0%
#s(approx (- (log (sinh x)) (log x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
accuracy100.0%
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64))))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 x #s(literal 1/6 binary64))
accuracy100.0%
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))))
Samples
148.0ms256×0invalid
Compiler

Compiled 391 to 52 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-mult: 57.0ms (45.2% of total)
ival-add: 30.0ms (23.8% of total)
const: 17.0ms (13.5% of total)
ival-log: 12.0ms (9.5% of total)
ival-div: 4.0ms (3.2% of total)
ival-sub: 3.0ms (2.4% of total)
ival-sinh: 2.0ms (1.6% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series95.0ms (0.8%)

Memory
4.0MiB live, 40.0MiB allocated
Counts
27 → 324
Calls
Call 1
Inputs
#<alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))>
#<alt #s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64))))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))>
#<alt #s(approx (- (log (sinh x)) (log x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))>
#<alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))>
#<alt (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))>
#<alt (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))>
#<alt (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x)>
#<alt (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))>
#<alt #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))>
#<alt #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))>
#<alt (-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x)))>
#<alt (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)))>
#<alt (*.f64 (sinh.f64 x) #s(literal -2 binary64))>
#<alt (sinh.f64 x)>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal -1/180 binary64))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))>
#<alt (*.f64 x #s(literal 1/120 binary64))>
#<alt (log.f64 (-.f64 (neg.f64 x) x))>
#<alt (neg.f64 x)>
Outputs
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt -1/180>
#<alt (- (* 1/2835 (pow x 2)) 1/180)>
#<alt (- (* 1/2835 (pow x 2)) 1/180)>
#<alt (- (* 1/2835 (pow x 2)) 1/180)>
#<alt (* 1/2835 (pow x 2))>
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1/36 x)>
#<alt (* x (- (* 1/32400 (pow x 4)) 1/36))>
#<alt (* x (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))>
#<alt (* x (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))>
#<alt (* 1/8037225 (pow x 9))>
#<alt (* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))>
#<alt (* 1/8037225 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225)))>
#<alt (* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))>
#<alt (* -1 (* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log -2) (* -1 (log (/ 1 x)))))>
#<alt (- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log -2) (* -1 (log (/ 1 x)))))>
#<alt (- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log -2) (* -1 (log (/ 1 x)))))>
#<alt (- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log -2) (* -1 (log (/ 1 x)))))>
#<alt (- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (+ (log -2) (log x))>
#<alt (+ (log -2) (+ (log x) (* 1/6 (pow x 2))))>
#<alt (+ (log -2) (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))>
#<alt (+ (log -2) (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))>
#<alt (log (* -1 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* -1 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* -1 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* -1 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* -1 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* -1 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* -1 (- (exp x) (/ 1 (exp x)))))>
#<alt (log (* -1 (- (exp x) (/ 1 (exp x)))))>
#<alt (* -2 x)>
#<alt (* x (- (* -1/3 (pow x 2)) 2))>
#<alt (* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2520 (pow x 2)) 1/60)) 1/3)) 2))>
#<alt (* -1 (- (exp x) (/ 1 (exp x))))>
#<alt (* -1 (- (exp x) (/ 1 (exp x))))>
#<alt (* -1 (- (exp x) (/ 1 (exp x))))>
#<alt (* -1 (- (exp x) (/ 1 (exp x))))>
#<alt (* -1 (- (exp x) (/ 1 (exp x))))>
#<alt (* -1 (- (exp x) (/ 1 (exp x))))>
#<alt (* -1 (- (exp x) (/ 1 (exp x))))>
#<alt (* -1 (- (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* -1/180 x)>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (+ (log -2) (log x))>
#<alt (+ (log -2) (log x))>
#<alt (+ (log -2) (log x))>
#<alt (+ (log -2) (log x))>
#<alt (+ (log -2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ -1 x))))>
#<alt (+ (log 2) (* -1 (log (/ -1 x))))>
#<alt (+ (log 2) (* -1 (log (/ -1 x))))>
#<alt (+ (log 2) (* -1 (log (/ -1 x))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

81 calls:

TimeVariablePointExpression
46.0ms
x
@inf
(- (log (* (sinh x) -2)) (log (- (neg x) x)))
30.0ms
x
@-inf
(- (log (* (sinh x) -2)) (log (- (neg x) x)))
7.0ms
x
@0
(log (- (neg x) x))
1.0ms
x
@0
(- (log (* (sinh x) -2)) (log (- (neg x) x)))
1.0ms
x
@inf
(* x (/ (* (+ (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180)))) -1/36) x) (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) -1/6)))

simplify656.0ms (5.2%)

Memory
-12.3MiB live, 617.8MiB allocated
Algorithm
egg-herbie
Rules
15 060×lower-fma.f64
15 060×lower-fma.f32
4 272×lower-*.f64
4 272×lower-*.f32
3 540×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02062980
15312938
213952914
342172914
081922765
Stop Event
iter limit
node limit
Counts
324 → 323
Calls
Call 1
Inputs
(* 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))))
(* 1/2835 (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 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))))))
(* 1/6 (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 (* 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)))
(+ (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))
(* (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))))
(* 1/2835 (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)))))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(- (* 1/2835 (pow x 2)) 1/180)
(- (* 1/2835 (pow x 2)) 1/180)
(* 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 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)))))
(* 1/6 (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 (* 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) (* -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)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (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))))
(+ (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)))
(+ (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))
(* (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))))
(* 1/2835 (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)))))
(* 1/6 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))))
(* 1/2835 (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 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))))))
(* -1/36 x)
(* x (- (* 1/32400 (pow x 4)) 1/36))
(* x (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(* x (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
(* 1/8037225 (pow x 9))
(* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/8037225 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225)))
(* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (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 (* 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)))
(+ (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
(+ 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)))))))
(* 1/2 (/ (- (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))) 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
(+ 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)))))
(* 1/120 (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))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 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))))
(* 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)))))
(* 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)))))
(* 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 (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log -2) (* -1 (log (/ 1 x)))))
(- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log -2) (* -1 (log (/ 1 x)))))
(- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log -2) (* -1 (log (/ 1 x)))))
(- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log -2) (* -1 (log (/ 1 x)))))
(- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log 2) (* -1 (log (/ -1 x)))))
(- (log (* -1 (- (exp x) (/ 1 (exp x))))) (+ (log 2) (* -1 (log (/ -1 x)))))
(+ (log -2) (log x))
(+ (log -2) (+ (log x) (* 1/6 (pow x 2))))
(+ (log -2) (+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
(+ (log -2) (+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
(log (* -1 (- (exp x) (/ 1 (exp x)))))
(log (* -1 (- (exp x) (/ 1 (exp x)))))
(log (* -1 (- (exp x) (/ 1 (exp x)))))
(log (* -1 (- (exp x) (/ 1 (exp x)))))
(log (* -1 (- (exp x) (/ 1 (exp x)))))
(log (* -1 (- (exp x) (/ 1 (exp x)))))
(log (* -1 (- (exp x) (/ 1 (exp x)))))
(log (* -1 (- (exp x) (/ 1 (exp x)))))
(* -2 x)
(* x (- (* -1/3 (pow x 2)) 2))
(* x (- (* (pow x 2) (- (* -1/60 (pow x 2)) 1/3)) 2))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2520 (pow x 2)) 1/60)) 1/3)) 2))
(* -1 (- (exp x) (/ 1 (exp x))))
(* -1 (- (exp x) (/ 1 (exp x))))
(* -1 (- (exp x) (/ 1 (exp x))))
(* -1 (- (exp x) (/ 1 (exp x))))
(* -1 (- (exp x) (/ 1 (exp x))))
(* -1 (- (exp x) (/ 1 (exp x))))
(* -1 (- (exp x) (/ 1 (exp x))))
(* -1 (- (exp x) (/ 1 (exp x))))
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))))))))
(* 1/2 (- (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))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(+ (log -2) (log x))
(+ (log -2) (log x))
(+ (log -2) (log x))
(+ (log -2) (log x))
(+ (log -2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (* -1 (log (/ -1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* 1/6 (pow x 2))
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(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
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(* -1 (- (exp x) (/ 1 (exp x))))
(-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 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 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) 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)
(pow x 2)
(*.f64 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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(* 1/2835 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(* 1/2835 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(+ (log -2) (log x))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+ (log -2) (log x))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+ (log -2) (log x))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+ (log -2) (log x))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite436.0ms (3.5%)

Memory
30.1MiB live, 782.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 024×lower-fma.f32
6 012×lower-fma.f64
4 364×lower-*.f32
4 336×lower-*.f64
3 532×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055383
091299
1330296
22307294
08606290
Stop Event
iter limit
node limit
iter limit
Counts
27 → 612
Calls
Call 1
Inputs
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))))
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(approx (- (log (sinh x)) (log x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x)))
(log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)))
(*.f64 (sinh.f64 x) #s(literal -2 binary64))
(sinh.f64 x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 x x)
(*.f64 x #s(literal -1/180 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(*.f64 x #s(literal 1/120 binary64))
(log.f64 (-.f64 (neg.f64 x) x))
(neg.f64 x)
Outputs
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 x (-.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) (*.f64 (/.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 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 (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x (*.f64 x #s(literal 1/6 binary64)))
(neg.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))))))
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(pow.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(*.f64 x (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1 binary64)) x)
(*.f64 x #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) x)
(log.f64 (+.f64 x x))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 x (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (neg.f64 x)) (*.f64 x x)))))
(+.f64 (log.f64 (*.f64 x (+.f64 x (neg.f64 x)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (neg.f64 x)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (+.f64 x (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 x (*.f64 x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x (neg.f64 x)) (*.f64 x (+.f64 x (neg.f64 x))))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 x (*.f64 x x)))) (log.f64 (fma.f64 x (+.f64 x (neg.f64 x)) (*.f64 x x))))
(-.f64 (log.f64 (*.f64 x (+.f64 x (neg.f64 x)))) (log.f64 (+.f64 x (neg.f64 x))))
(-.f64 (log.f64 (*.f64 x (+.f64 x (neg.f64 x)))) (log.f64 (-.f64 x x)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 x (*.f64 x x))))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x (neg.f64 x)) (*.f64 x x)))))
(-.f64 (log.f64 (neg.f64 (*.f64 x (+.f64 x (neg.f64 x))))) (log.f64 (neg.f64 (+.f64 x (neg.f64 x)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x (neg.f64 x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 x (*.f64 x x))))))
(neg.f64 (log.f64 (/.f64 (+.f64 x (neg.f64 x)) (*.f64 x (+.f64 x (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x (+.f64 x (neg.f64 x)) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 x (*.f64 x x)))) (log.f64 (fma.f64 x (*.f64 x x) (*.f64 x (*.f64 x x)))) (fma.f64 (log.f64 (fma.f64 x (+.f64 x (neg.f64 x)) (*.f64 x x))) (log.f64 (fma.f64 x (+.f64 x (neg.f64 x)) (*.f64 x x))) (*.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 x (*.f64 x x)))) (log.f64 (fma.f64 x (+.f64 x (neg.f64 x)) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 x (+.f64 x (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 x (+.f64 x (neg.f64 x)))) (log.f64 (*.f64 x (+.f64 x (neg.f64 x)))) (fma.f64 (log.f64 (+.f64 x (neg.f64 x))) (log.f64 (+.f64 x (neg.f64 x))) (*.f64 (log.f64 (*.f64 x (+.f64 x (neg.f64 x)))) (log.f64 (+.f64 x (neg.f64 x)))))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (+.f64 x (neg.f64 x))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (+.f64 x (neg.f64 x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (+.f64 x (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (+.f64 x (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)

eval212.0ms (1.7%)

Memory
-2.2MiB live, 402.4MiB allocated
Compiler

Compiled 46 427 to 2 821 computations (93.9% saved)

prune436.0ms (3.5%)

Memory
-25.8MiB live, 292.3MiB allocated
Pruning

32 alts after pruning (20 fresh and 12 done)

PrunedKeptTotal
New1 257121 269
Fresh9817
Picked145
Done088
Total1 267321 299
Accuracy
96.9%
Counts
1 299 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.1%
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x))))
53.6%
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
3.3%
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))))
28.1%
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 (sinh.f64 x) x))))
25.5%
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x)))
28.1%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
53.7%
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
44.9%
(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)))
53.7%
(log.f64 (/.f64 (sinh.f64 x) x))
53.1%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
52.6%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
52.2%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
2.2%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))))))
2.5%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
2.4%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) #s(approx (* x (* x (+ (* x (* x 1/120)) 1/6))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
95.1%
#s(approx (- (log (* (sinh x) -2)) (log (- (neg x) x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
94.4%
#s(approx (- (log (sinh x)) (log x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))))
94.4%
#s(approx (- (log (sinh x)) (log x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
94.4%
#s(approx (- (log (sinh x)) (log x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64)) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))))
94.5%
#s(approx (- (log (sinh x)) (log x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
4.2%
#s(approx (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
95.2%
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))))
95.2%
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))
94.6%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))))
94.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))))
95.5%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 #s(approx (* (+ (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180)))) -1/36) x) (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
94.5%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 #s(approx (* (+ (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180)))) -1/36) x) (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
20.2%
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) x))))))
94.4%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Compiler

Compiled 1 681 to 568 computations (66.2% saved)

regimes56.0ms (0.4%)

Memory
23.4MiB live, 64.2MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
#s(approx (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (- (log (sinh x)) (log x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (- (log (sinh x)) (log x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(neg.f64 #s(approx (log (/ x (sinh x))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal -1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 #s(approx (* (+ (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180)))) -1/36) x) (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
#s(approx (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
#s(approx (- (log (* (sinh x) -2)) (log (- (neg x) x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))
#s(approx (- (log (sinh x)) (log x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 #s(approx (* (+ (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180)))) -1/36) x) (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x))))))
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) x))))))
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))))
#s(approx (- (log (sinh x)) (log x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64)) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) #s(approx (* x (* x (+ (* x (* x 1/120)) 1/6))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))
(log.f64 (/.f64 (sinh.f64 x) x))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x)))
#s(approx (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2))) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) #s(literal 2 binary64)))) (log.f64 (*.f64 (sinh.f64 x) x))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 #s(approx (* (+ (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180)))) -1/36) x) (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
Calls

3 calls:

30.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
13.0ms
x
10.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
95.5%1x
95.5%1(log.f64 (/.f64 (sinh.f64 x) x))
95.5%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes53.0ms (0.4%)

Memory
-17.3MiB live, 22.4MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
#s(approx (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (- (log (sinh x)) (log x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (- (log (sinh x)) (log x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(neg.f64 #s(approx (log (/ x (sinh x))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal -1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 #s(approx (* (+ (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180)))) -1/36) x) (*.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
#s(approx (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
#s(approx (- (log (* (sinh x) -2)) (log (- (neg x) x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))
#s(approx (- (log (sinh x)) (log x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
Calls

3 calls:

43.0ms
(/.f64 (sinh.f64 x) x)
5.0ms
x
4.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
95.2%1(log.f64 (/.f64 (sinh.f64 x) x))
95.2%1(/.f64 (sinh.f64 x) x)
95.2%1x
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
#s(approx (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (- (log (sinh x)) (log x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (- (log (sinh x)) (log x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(neg.f64 #s(approx (log (/ x (sinh x))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal -1/6 binary64)))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
Calls

3 calls:

3.0ms
x
2.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
94.5%1(log.f64 (/.f64 (sinh.f64 x) x))
94.5%1(/.f64 (sinh.f64 x) x)
94.5%1x
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 (sinh.f64 x) x)
1.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
94.4%1x
94.4%1(log.f64 (/.f64 (sinh.f64 x) x))
94.4%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes89.0ms (0.7%)

Memory
-31.1MiB live, 8.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Calls

3 calls:

1.0ms
x
1.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
94.4%1x
94.4%1(log.f64 (/.f64 (sinh.f64 x) x))
94.4%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0.1%)

Memory
16.4MiB live, 16.5MiB allocated
Algorithm
egg-herbie
Rules
26×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045119
158119
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 #s(approx (* (+ (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180)))) -1/36) x) (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 #s(approx (* (+ (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180)))) -1/36) x) (*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

soundness756.0ms (6%)

Memory
6.3MiB live, 372.7MiB allocated
Rules
16 092×lower-fma.f64
16 092×lower-fma.f32
15 060×lower-fma.f64
15 060×lower-fma.f32
4 562×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059394
1157390
2395384
31186384
42106384
53935384
64551380
74952380
86424380
08057362
02062980
15312938
213952914
342172914
081922765
029160
049147
1161137
01024137
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 148 to 78 computations (47.3% saved)

preprocess173.0ms (1.4%)

Memory
-10.9MiB live, 144.7MiB allocated
Compiler

Compiled 210 to 98 computations (53.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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