bug500, discussion (missed optimization)

Time bar (total: 12.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze99.0ms (0.8%)

Memory
2.4MiB live, 161.0MiB 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 (30.2%)

Memory
54.6MiB live, 3 635.1MiB allocated
Samples
2.1s5 544×2valid
715.0ms7 594×1exit
354.0ms2 370×1valid
22.0ms342×0valid
0.0ms5exit
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-log: 1.2s (50.1% of total)
ival-sinh: 749.0ms (30% of total)
ival-div: 250.0ms (10% of total)
adjust: 226.0ms (9.1% of total)
ival-true: 13.0ms (0.5% of total)
ival-assert: 7.0ms (0.3% of total)
Bogosity

explain187.0ms (1.5%)

Memory
23.1MiB live, 181.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
147107(1.7456925340441837e-298)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))sensitivity2520
log.f64(log.f64 (/.f64 (sinh.f64 x) x))oflow-rescue20
(sinh.f64 x)overflow2
(/.f64 (sinh.f64 x) x)overflow2
Confusion
Predicted +Predicted -
+1470
-1072
Precision
0.5787401574803149
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14700
-10702
Precision?
0.5787401574803149
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
122.0ms326×2valid
24.0ms178×1valid
0.0ms0valid
Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-log: 67.0ms (53.2% of total)
ival-sinh: 40.0ms (31.7% of total)
ival-div: 10.0ms (7.9% of total)
adjust: 8.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess170.0ms (1.4%)

Memory
-2.9MiB live, 73.7MiB 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))
Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.8%
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify125.0ms (1%)

Memory
-28.0MiB live, 62.9MiB 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

localize89.0ms (0.7%)

Memory
-2.3MiB live, 117.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (sinh.f64 x) x)
accuracy0.00390625
(sinh.f64 x)
accuracy34.04898361246748
(log.f64 (/.f64 (sinh.f64 x) x))
Samples
59.0ms163×2valid
15.0ms89×1valid
0.0ms0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-log: 33.0ms (54.1% of total)
ival-sinh: 19.0ms (31.1% of total)
ival-div: 5.0ms (8.2% of total)
adjust: 4.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series78.0ms (0.6%)

Memory
12.2MiB live, 49.6MiB 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 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 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 (+ (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 (* 1/2 (/ (- (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))))>
#<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 (* -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 (* 1/2 (/ (- (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))))>
#<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

3 calls:

TimeVariablePointExpression
49.0ms
x
@inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
27.0ms
x
@-inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
2.0ms
x
@0
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))

simplify516.0ms (4.1%)

Memory
-124.8MiB live, 358.0MiB 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
31185384
42108384
53947384
64556380
74957380
86431380
08051362
Stop Event
iter limit
node limit
Counts
36 → 35
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
Outputs
(* 1/6 (pow x 2))
(*.f64 #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 (*.f64 x 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))))
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 x (*.f64 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))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 (*.f64 x x) (*.f64 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)
(+ (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))
(* 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))))
(*.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 (* -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)))
(* 1/2 (/ (- (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))))
(*.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))))

rewrite242.0ms (1.9%)

Memory
1.5MiB live, 326.2MiB allocated
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)))

eval82.0ms (0.7%)

Memory
-10.4MiB live, 66.7MiB allocated
Compiler

Compiled 9 242 to 1 609 computations (82.6% saved)

prune59.0ms (0.5%)

Memory
9.3MiB live, 125.4MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4709479
Fresh000
Picked011
Done000
Total47010480
Accuracy
99.1%
Counts
480 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.7%
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.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))) (+.f64 (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))))))
46.8%
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
46.8%
(log.f64 (/.f64 (sinh.f64 x) x))
46.3%
(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))))
46.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
46.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))
98.4%
#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)))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Compiler

Compiled 320 to 172 computations (46.3% saved)

simplify188.0ms (1.5%)

Memory
24.7MiB live, 182.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (sinh.f64 x) x)
cost-diff0
(*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))
cost-diff0
(log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)))
cost-diff0
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
cost-diff0
(fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (*.f64 x 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))
cost-diff0
(*.f64 x (fma.f64 (*.f64 x 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)))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 (*.f64 x 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))))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))
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
6 318×lower-fma.f32
6 304×lower-fma.f64
3 482×lower-*.f32
3 458×lower-*.f64
1 582×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040311
073311
1150311
2373311
3804311
41413311
52305311
63603311
76486311
08194311
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
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x 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))))
x
(*.f64 x (fma.f64 (*.f64 x 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)))
(fma.f64 (*.f64 x 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))
(*.f64 x 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))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(*.f64 x #s(literal -1/37800 binary64))
#s(literal -1/37800 binary64)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 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)
#s(literal 1 binary64)
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)))
(*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x
#s(literal 2 binary64)
(log.f64 #s(literal 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 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x 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))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x 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))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x 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)))
x
(*.f64 x (fma.f64 (*.f64 x 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)))
(*.f64 x (fma.f64 (*.f64 x 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)))
(fma.f64 (*.f64 x 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))
(fma.f64 (*.f64 x 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))
(*.f64 x 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))
(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))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(*.f64 x #s(literal -1/37800 binary64))
#s(literal -1/37800 binary64)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x (*.f64 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 x (*.f64 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
x
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 (*.f64 x 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))
(fma.f64 (*.f64 x 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 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)))
(log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))
(*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x
#s(literal 2 binary64)
(log.f64 #s(literal 2 binary64))

localize396.0ms (3.2%)

Memory
-16.2MiB live, 385.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 #s(literal 2 binary64))
accuracy0.00390625
(sinh.f64 x)
accuracy0.48413978060199747
(log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)))
accuracy33.56875008022983
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
accuracy0.08203125
(*.f64 x #s(literal 1/120 binary64))
accuracy0.3515625
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
accuracy0.8752080299657721
#s(approx (/ (sinh x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
accuracy34.04898361246748
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
accuracy0.2578125
(*.f64 x #s(literal -1/37800 binary64))
accuracy0.3515625
(*.f64 x (fma.f64 (*.f64 x 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)))
accuracy0.4453125
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
accuracy0.8829660839417555
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))
accuracy0
(*.f64 x x)
accuracy0.1875
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy0.9006519457346491
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
accuracy0.12890625
(*.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))))
accuracy0.359375
(*.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)))
accuracy0.43359375
(*.f64 x #s(literal 1/2835 binary64))
accuracy0.8357372036735351
#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
233.0ms162×2valid
102.0ms90×1valid
1.0ms0valid
Compiler

Compiled 270 to 42 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-log: 67.0ms (29.7% of total)
ival-mult: 59.0ms (26.2% of total)
adjust: 26.0ms (11.5% of total)
ival-sinh: 25.0ms (11.1% of total)
const: 24.0ms (10.6% of total)
ival-add: 15.0ms (6.7% of total)
ival-div: 6.0ms (2.7% of total)
ival-sub: 3.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series115.0ms (0.9%)

Memory
5.7MiB live, 195.4MiB allocated
Counts
25 → 288
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 #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))>
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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))))>
#<alt (*.f64 x (fma.f64 (*.f64 x 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)))>
#<alt (fma.f64 (*.f64 x 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))>
#<alt (log.f64 #s(approx (/ (sinh x) x) (fma.f64 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))>
#<alt (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))>
#<alt (-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))>
#<alt (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))>
#<alt (/.f64 (sinh.f64 x) x)>
#<alt (*.f64 x #s(literal 1/2835 binary64))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))>
#<alt (*.f64 x #s(literal -1/37800 binary64))>
#<alt (*.f64 x #s(literal 1/120 binary64))>
#<alt (sinh.f64 x)>
#<alt (log.f64 #s(literal 2 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 (* 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 (* 1/6 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 1/6>
#<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 (* 1/6 (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 (* 1/6 (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 (* 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 (* 1/6 (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 (* 1/6 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) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<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) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (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 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>
#<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 (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (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 2)>
#<alt (+ (log 2) (* 1/6 (pow x 2)))>
#<alt (+ (log 2) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))>
#<alt (+ (log 2) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 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 (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 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 (+ (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 (* 1/2835 (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 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 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 (+ (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<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 (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 7))>
#<alt (* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<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 (* 1/2 (/ (- (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 (* 1/120 (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 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) (log 2))>
#<alt (- (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) (log 2))>
#<alt (- (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) (log 2))>
#<alt (- (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) (log 2))>
#<alt (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x)))>
#<alt (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x)))>
#<alt (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x)))>
#<alt (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x)))>
#<alt (/ (- (exp x) (/ 1 (exp x))) x)>
#<alt (/ (- (exp x) (/ 1 (exp x))) x)>
#<alt (/ (- (exp x) (/ 1 (exp x))) x)>
#<alt (/ (- (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 (* -1/37800 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 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 (* -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 (* 1/2835 (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 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 (* 1/2835 (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 (+ (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<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 (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<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 (* 1/2 (/ (- (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 (* 1/120 (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 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (log 2))>
#<alt (- (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (log 2))>
#<alt (- (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (log 2))>
#<alt (- (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (log 2))>
#<alt (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (/ (- (exp x) (/ 1 (exp x))) x)>
#<alt (/ (- (exp x) (/ 1 (exp x))) x)>
#<alt (/ (- (exp x) (/ 1 (exp x))) x)>
#<alt (/ (- (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 (* -1/37800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* -1/37800 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 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

3 calls:

TimeVariablePointExpression
68.0ms
x
@inf
((log (/ (sinh x) x)) (* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) (log (/ (sinh x) x)) (* 1/6 (* x x)) (* x x) (log (/ (sinh x) x)) (* x (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6))) (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6)) (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (* x (+ (* x (* x 1/120)) 1/6)) (- (log (* (/ (sinh x) x) 2)) (log 2)) (log (* (/ (sinh x) x) 2)) (* (/ (sinh x) x) 2) (/ (sinh x) x) (* x 1/2835) (* x (+ (* x (* x -1/37800)) 1/2835)) (* x -1/37800) (* x 1/120) (sinh x) (log 2))
39.0ms
x
@-inf
((log (/ (sinh x) x)) (* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) (log (/ (sinh x) x)) (* 1/6 (* x x)) (* x x) (log (/ (sinh x) x)) (* x (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6))) (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6)) (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (* x (+ (* x (* x 1/120)) 1/6)) (- (log (* (/ (sinh x) x) 2)) (log 2)) (log (* (/ (sinh x) x) 2)) (* (/ (sinh x) x) 2) (/ (sinh x) x) (* x 1/2835) (* x (+ (* x (* x -1/37800)) 1/2835)) (* x -1/37800) (* x 1/120) (sinh x) (log 2))
4.0ms
x
@0
((log (/ (sinh x) x)) (* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) (log (/ (sinh x) x)) (* 1/6 (* x x)) (* x x) (log (/ (sinh x) x)) (* x (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6))) (* x (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6)) (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/37800)) 1/2835))) -1/180)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (* x (+ (* x (* x 1/120)) 1/6)) (- (log (* (/ (sinh x) x) 2)) (log 2)) (log (* (/ (sinh x) x) 2)) (* (/ (sinh x) x) 2) (/ (sinh x) x) (* x 1/2835) (* x (+ (* x (* x -1/37800)) 1/2835)) (* x -1/37800) (* x 1/120) (sinh x) (log 2))

simplify361.0ms (2.9%)

Memory
-2.1MiB live, 285.7MiB allocated
Algorithm
egg-herbie
Rules
13 018×lower-fma.f64
13 018×lower-fma.f32
3 764×lower-*.f64
3 764×lower-*.f32
3 102×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01722842
14722812
212432804
336582804
472812804
080352672
Stop Event
iter limit
node limit
Counts
288 → 287
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/6 (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 2)
(+ (log 2) (* 1/6 (pow x 2)))
(+ (log 2) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))
(+ (log 2) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 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))))))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(- (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) (log 2))
(- (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) (log 2))
(- (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) (log 2))
(- (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) (log 2))
(+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x)))
(+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x)))
(+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x)))
(+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x)))
(/ (- (exp x) (/ 1 (exp x))) x)
(/ (- (exp x) (/ 1 (exp x))) x)
(/ (- (exp x) (/ 1 (exp x))) x)
(/ (- (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)
(* -1/37800 (pow x 3))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(- (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (log 2))
(- (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (log 2))
(- (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (log 2))
(- (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (log 2))
(+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(/ (- (exp x) (/ 1 (exp x))) x)
(/ (- (exp x) (/ 1 (exp x))) x)
(/ (- (exp x) (/ 1 (exp x))) x)
(/ (- (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)
(* -1/37800 (pow x 3))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* -1/37800 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 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 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 (*.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)))
(* 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))))
(* 1/6 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 x (*.f64 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 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
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 x (*.f64 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 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* 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 (*.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)))
(* 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)
(* 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 (*.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)))
(* 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 (*.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)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
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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))
(* -1/37800 (pow x 3))
(*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(* -1/37800 x)
(*.f64 x #s(literal -1/37800 binary64))
(* -1/37800 x)
(*.f64 x #s(literal -1/37800 binary64))
(* -1/37800 x)
(*.f64 x #s(literal -1/37800 binary64))
(* -1/37800 x)
(*.f64 x #s(literal -1/37800 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))
(* 1/2 (- (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))))

rewrite308.0ms (2.5%)

Memory
-19.9MiB live, 425.2MiB allocated
Rules
4 946×lower-fma.f32
4 932×lower-fma.f64
4 062×lower-/.f32
4 060×lower-/.f64
3 864×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040259
073254
1260254
21843254
08529254
Stop Event
iter limit
node limit
iter limit
Counts
25 → 628
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)
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x 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))))
(*.f64 x (fma.f64 (*.f64 x 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)))
(fma.f64 (*.f64 x 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.f64 #s(approx (/ (sinh x) x) (fma.f64 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)))
(*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))
(/.f64 (sinh.f64 x) x)
(*.f64 x #s(literal 1/2835 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(*.f64 x #s(literal -1/37800 binary64))
(*.f64 x #s(literal 1/120 binary64))
(sinh.f64 x)
(log.f64 #s(literal 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)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))) x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x)))
(fma.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 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 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (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 (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))) x) (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))) x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))
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(fma.f64 (*.f64 x (*.f64 x #s(literal -1/37800 binary64))) x (*.f64 x #s(literal 1/2835 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/37800 binary64) (*.f64 x #s(literal 1/2835 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) (*.f64 #s(literal 1/22785532875 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64)))) (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)) (*.f64 x (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8037225 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)) (*.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8037225 binary64)) x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) (*.f64 #s(literal 1/22785532875 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64)))) (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64))) (-.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8037225 binary64))) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) x) (-.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8037225 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) (*.f64 #s(literal 1/22785532875 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64)))) (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8037225 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) x)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8037225 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))))
(/.f64 (fma.f64 #s(literal 1/22785532875 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)))) (fma.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64)))) (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))))) (-.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64)))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)) x)
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) (*.f64 #s(literal 1/22785532875 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64)))) (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(*.f64 (*.f64 x (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8037225 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/8037225 binary64)) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8037225 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal -1/2835 binary64))))
(*.f64 x #s(literal -1/37800 binary64))
(*.f64 #s(literal -1/37800 binary64) x)
(*.f64 x #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) x)
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x)))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(neg.f64 (neg.f64 (sinh.f64 x)))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.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 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.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 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(*.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 -1 binary64) (neg.f64 (sinh.f64 x)))
(*.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(log.f64 #s(literal 2 binary64))

eval175.0ms (1.4%)

Memory
39.4MiB live, 193.8MiB allocated
Compiler

Compiled 29 463 to 2 528 computations (91.4% saved)

prune174.0ms (1.4%)

Memory
-26.6MiB live, 169.6MiB allocated
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New93417951
Fresh314
Picked145
Done011
Total93823961
Accuracy
99.3%
Counts
961 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.8%
(fma.f64 (pow.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))))))
46.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)))))
46.8%
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
20.7%
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
46.8%
(log.f64 (/.f64 (sinh.f64 x) x))
46.3%
(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))))
46.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
46.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64))))
2.1%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
1.7%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
98.3%
#s(approx (- (log (* (/ (sinh x) x) 2)) (log 2)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
98.4%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 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))))
98.5%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 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)))))
97.5%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))))))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (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)))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (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)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) 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)))))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))
98.5%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 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))))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))
23.4%
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (-.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Compiler

Compiled 1 030 to 456 computations (55.7% saved)

simplify401.0ms (3.2%)

Memory
8.9MiB live, 295.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(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))))
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 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))))
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))
cost-diff0
(/.f64 #s(literal 1 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)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 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)))))
cost-diff1088
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 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))))
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 #s(literal 1 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)))
cost-diff0
(*.f64 x (/.f64 x (/.f64 #s(literal 1 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)))))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 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))))))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 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))))
Rules
12 824×lower-fma.f32
12 810×lower-fma.f64
5 530×lower-+.f64
5 530×lower-+.f32
2 962×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039515
066515
1143505
2434489
31656477
44467477
55393477
65842477
76110477
86553477
97139477
09032477
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 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 (/.f64 x (/.f64 #s(literal 1 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)))))
x
(/.f64 x (/.f64 #s(literal 1 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 #s(literal 1 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(literal 1 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 (*.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 (*.f64 x x) (/.f64 #s(literal 1 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 (*.f64 x x) (/.f64 #s(literal 1 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)
x
(/.f64 #s(literal 1 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(literal 1 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))
(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 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))
#s(literal 1 binary64)
(/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 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)
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)
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
#s(literal -1/36 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))))
#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)))
(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))
(*.f64 x 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))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 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 (*.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 x (/.f64 x (/.f64 #s(literal 1 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 (*.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)))
x
(/.f64 x (/.f64 #s(literal 1 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 (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) (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 #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)))
#s(literal 1 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))
(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)
(fma.f64 x (*.f64 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 #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 (*.f64 x #s(literal 1/6 binary64)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x 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 (*.f64 x x) (/.f64 #s(literal 1 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 (*.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 x x) (/.f64 #s(literal 1 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 (*.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 x x)
x
(/.f64 #s(literal 1 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 #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)))
#s(literal 1 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))
(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 #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 #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 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))))))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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 -1/36 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 #s(literal 1 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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 -1/36 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)))))
#s(literal 1 binary64)
(/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 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 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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 -1/36 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))
(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)
x
(fma.f64 x (*.f64 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 #s(literal 1/2835 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal -1/6 binary64)
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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 -1/36 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (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 -1/36 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 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 (*.f64 x x))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 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)
(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 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))) #s(literal 1 binary64))))
#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)))
#s(approx (/ (sinh x) x) (fma.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))) #s(literal 1 binary64)))
(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))
(fma.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))) #s(literal 1 binary64))
(*.f64 x 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))
(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))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize474.0ms (3.8%)

Memory
24.6MiB live, 139.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(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))
accuracy0.08984375
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
accuracy0.8509866164202271
#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)))
accuracy34.04898361246748
(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))))
accuracy0.25
(/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))))
accuracy0.43359375
(*.f64 x #s(literal 1/2835 binary64))
accuracy0.6851647863230985
(/.f64 #s(literal 1 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))
accuracy0.8357372036735351
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))))))
accuracy0.01171875
(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))
accuracy0.14453125
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 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))))
accuracy0.43359375
(*.f64 x #s(literal 1/2835 binary64))
accuracy0.8357372036735351
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 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)))))
accuracy0.125
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
accuracy0.35546875
(*.f64 x #s(literal 1/6 binary64))
accuracy0.9006519457346491
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
accuracy0.01171875
(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))
accuracy0.12890625
(*.f64 x (/.f64 x (/.f64 #s(literal 1 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)))))
accuracy0.43359375
(*.f64 x #s(literal 1/2835 binary64))
accuracy0.8357372036735351
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 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))))))
Samples
189.0ms163×2valid
62.0ms89×1valid
1.0ms0valid
Compiler

Compiled 444 to 40 computations (91% saved)

Precisions
Click to see histograms. Total time spent on operations: 207.0ms
ival-log: 59.0ms (28.6% of total)
ival-mult: 35.0ms (16.9% of total)
const: 34.0ms (16.5% of total)
adjust: 23.0ms (11.1% of total)
ival-div: 21.0ms (10.2% of total)
ival-sinh: 20.0ms (9.7% of total)
ival-add: 15.0ms (7.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series79.0ms (0.6%)

Memory
-20.6MiB live, 22.9MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (/.f64 x (/.f64 #s(literal 1 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))))>
#<alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 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))))))>
#<alt (*.f64 x (/.f64 x (/.f64 #s(literal 1 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)))))>
#<alt (/.f64 #s(literal 1 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)))>
#<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 x #s(literal 1/6 binary64))>
#<alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 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))))>
#<alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 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)))))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))>
#<alt #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))))))>
#<alt (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 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 (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))))>
#<alt #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)))>
#<alt (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))>
#<alt (*.f64 x #s(literal 1/2835 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 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))>
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 (* 1/6 (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 (* 1/6 (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 6>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))>
#<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 (* 1/6 (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 (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 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 (* 1/6 (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 (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) (- (* 1/2835 (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 (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 1/5 (pow x 2))) (pow x 2))>
#<alt (/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (pow x 2))>
#<alt (/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) (pow x 2))>
#<alt -1/6>
#<alt (- (* -1/180 (pow x 2)) 1/6)>
#<alt (- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)>
#<alt (- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)>
#<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>
#<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>
#<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 (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<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 (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<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 (+ (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 (* 1/2835 (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 (/ 2835 (pow x 4))>
#<alt (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))>
#<alt (/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))>
#<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 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<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 (+ (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (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 (+ (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 (/ 2835 (pow x 6))>
#<alt (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 6))>
#<alt (/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6))>
#<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 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<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 (* 1/2 (/ (- (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 (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<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 (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 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 (+ (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 (* 1/2835 (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 (/ 2835 (pow x 4))>
#<alt (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))>
#<alt (/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))>
#<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 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<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 (+ (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (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 (+ (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 (/ 2835 (pow x 6))>
#<alt (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 6))>
#<alt (/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6))>
#<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 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))>
#<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 (* 1/2 (/ (- (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 (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<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 (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
Calls

3 calls:

TimeVariablePointExpression
56.0ms
x
@0
((/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (log (/ (sinh x) x)) (* x (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (log (/ (sinh x) x)) (* (* x 1/6) x) (* x 1/6) (/ (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (/ (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (* (* x x) (+ (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) (* (* x x) (+ (* x (* x 1/2835)) -1/180)))) -1/36)))) (log (/ (sinh x) x)) (/ (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (* (* x x) (+ (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) (* (* x x) (+ (* x (* x 1/2835)) -1/180)))) -1/36))) (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1) (* x 1/2835) (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) (* x (+ (* (* x x) 1/5040) 1/120)))
10.0ms
x
@inf
((/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (log (/ (sinh x) x)) (* x (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (log (/ (sinh x) x)) (* (* x 1/6) x) (* x 1/6) (/ (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (/ (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (* (* x x) (+ (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) (* (* x x) (+ (* x (* x 1/2835)) -1/180)))) -1/36)))) (log (/ (sinh x) x)) (/ (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (* (* x x) (+ (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) (* (* x x) (+ (* x (* x 1/2835)) -1/180)))) -1/36))) (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1) (* x 1/2835) (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) (* x (+ (* (* x x) 1/5040) 1/120)))
10.0ms
x
@-inf
((/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (log (/ (sinh x) x)) (* x (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (log (/ (sinh x) x)) (* (* x 1/6) x) (* x 1/6) (/ (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (log (/ (sinh x) x)) (* x x) (/ 1 (/ (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (* (* x x) (+ (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) (* (* x x) (+ (* x (* x 1/2835)) -1/180)))) -1/36)))) (log (/ (sinh x) x)) (/ (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (* (* x x) (+ (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) (* (* x x) (+ (* x (* x 1/2835)) -1/180)))) -1/36))) (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1) (* x 1/2835) (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) (* x (+ (* (* x x) 1/5040) 1/120)))

simplify435.0ms (3.5%)

Memory
22.2MiB live, 249.3MiB allocated
Algorithm
egg-herbie
Rules
19 346×lower-fma.f64
19 346×lower-fma.f32
4 716×lower-*.f64
4 716×lower-*.f32
3 278×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01562542
14002514
29582506
322192506
448632506
084002399
Stop Event
iter limit
node limit
Counts
240 → 240
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))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 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))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(/ 6 (pow x 2))
(/ (+ 6 (* 1/5 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) (pow x 2))
-1/6
(- (* -1/180 (pow x 2)) 1/6)
(- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)
(- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
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)))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(/ 2835 (pow x 6))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 6))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2 (/ (- (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))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 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)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 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))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(/ 2835 (pow x 6))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 6))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2 (/ (- (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))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 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)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
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 (*.f64 x x) (fma.f64 x (*.f64 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 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* 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 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 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)))
(* 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 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 (*.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)))
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -59/94500 binary64)) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(* 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 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 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)))
(* 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 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 (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 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 (*.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)))
(* 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 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 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)))
(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 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 (*.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)))
(* 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 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 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)))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 1/5 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (*.f64 x x))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64)) (*.f64 x x))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) (pow x 2))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -59/94500 binary64)) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)) (*.f64 x x))
-1/6
#s(literal -1/6 binary64)
(- (* -1/180 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))
(- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)
(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) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)
(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))
(* 1/6 (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 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 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)))
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 x (*.f64 x (fma.f64 (*.f64 x 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 (*.f64 x 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
#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 x (*.f64 x (fma.f64 (*.f64 x 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 (*.f64 x 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))
(* 1/2835 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))
1/6
#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 x (*.f64 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 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/2835 (pow x 5))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
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(+.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 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)
(* 1/2835 (pow x 6))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.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)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.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)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x 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))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2835 (pow x 6))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.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)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.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)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x 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))))
(/ 2835 (pow x 6))
(/.f64 #s(literal 2835 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal -10180485/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6))
(/.f64 (+.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal -10180485/16 binary64) (/.f64 #s(literal 1991624355/64 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 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 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f64 (*.f64 x x) (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))
(fma.f64 (*.f64 x x) (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (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))))
(* 1/2 (/ (- (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))
(* 1/5040 (pow x 6))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) #s(literal 1 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 (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 x (*.f64 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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* 1/5040 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))

rewrite564.0ms (4.5%)

Memory
-3.3MiB live, 511.0MiB allocated
Rules
4 802×lower-fma.f32
4 788×lower-fma.f64
4 502×lower-/.f32
4 492×lower-/.f64
4 490×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039346
066300
1276265
21956265
08361265
Stop Event
iter limit
node limit
iter limit
Counts
20 → 889
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 1 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 x (/.f64 x (/.f64 #s(literal 1 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 (/.f64 x (/.f64 #s(literal 1 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 #s(literal 1 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 (*.f64 x #s(literal 1/6 binary64)) x))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 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 (*.f64 x x) (/.f64 #s(literal 1 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)
(/.f64 #s(literal 1 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))))))
(/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 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))
(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))))
#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)))
(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))
(*.f64 x #s(literal 1/2835 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 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
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 #s(literal 0 binary64) (/.f64 #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 (neg.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 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 #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)))
(neg.f64 (*.f64 (neg.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 (/.f64 #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 #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)))))
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eval216.0ms (1.7%)

Memory
19.2MiB live, 535.9MiB allocated
Compiler

Compiled 66 304 to 3 090 computations (95.3% saved)

prune154.0ms (1.2%)

Memory
8.5MiB live, 398.7MiB allocated
Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New1 563111 574
Fresh4913
Picked325
Done055
Total1 570271 597
Accuracy
99.3%
Counts
1 597 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.8%
(fma.f64 (pow.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))))))
46.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)))))
46.8%
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
20.7%
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
46.8%
(log.f64 (/.f64 (sinh.f64 x) x))
46.3%
(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))))
46.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x #s(approx (* x (+ (* (* x x) 1/5040) 1/120)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
46.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
46.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64))))
1.6%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
2.1%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
1.7%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
98.3%
#s(approx (- (log (* (/ (sinh x) x) 2)) (log 2)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
98.4%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.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)))) (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))))
98.4%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
98.5%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
98.4%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))))
98.3%
#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))))))
97.6%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (* (* x x) (+ (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) (* (* x x) (+ (* x (* x 1/2835)) -1/180)))) -1/36))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (*.f64 x x)))))
97.4%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (* (* x x) (+ (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) (* (* x x) (+ (* x (* x 1/2835)) -1/180)))) -1/36))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (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)))
98.3%
#s(approx (log (/ (sinh x) x)) (*.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 #s(literal 1 binary64) x))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (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)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Compiler

Compiled 842 to 417 computations (50.5% saved)

simplify193.0ms (1.6%)

Memory
-38.9MiB live, 290.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
cost-diff0
#s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
cost-diff0
#s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
cost-diff0
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
cost-diff0
(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 (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 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.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 #s(literal 1 binary64) x))))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.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 (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))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (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)))
cost-diff0
#s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))
cost-diff0
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))))
cost-diff0
#s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
Rules
5 300×lower-fma.f32
5 290×lower-fma.f64
2 576×lower-*.f32
2 562×lower-*.f64
1 712×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050407
073401
1149401
2265393
3436385
4717385
51003385
61347385
71952385
82613385
93251385
103685385
115766385
127968385
08121379
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
#s(literal 1/5 binary64)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))))
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))))
x
(/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (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)))
(*.f64 (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 (*.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)
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 (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 #s(literal 1 binary64) x))))
(*.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 #s(literal 1 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 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(literal 1/6 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 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 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
#s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
#s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
#s(literal 1/5 binary64)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))))
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))
x
(/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (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)))
#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 (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))
(*.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)))
(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)
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 (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 #s(literal 1 binary64) x))))
#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 (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 #s(literal 1 binary64) 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)))
(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) (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) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(*.f64 x (fma.f64 x (*.f64 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))
(fma.f64 x (*.f64 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(literal 1/6 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(/.f64 #s(literal 1 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 (*.f64 x x) (*.f64 (*.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 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))))
#s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
#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))))))
#s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
#s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)

localize282.0ms (2.3%)

Memory
41.7MiB live, 394.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
accuracy0.8752080299657721
#s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
accuracy34.04898361246748
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
accuracy61.19762464123334
#s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
accuracy0.1640625
(/.f64 x (/.f64 #s(literal 1 binary64) x))
accuracy0.19140625
(*.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 #s(literal 1 binary64) x)))
accuracy0.26953125
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
accuracy0.8357372036735351
#s(approx (log (/ (sinh x) x)) (*.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 #s(literal 1 binary64) x))))
accuracy0.01171875
(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))
accuracy0.19140625
(*.f64 (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))
accuracy0.43359375
(*.f64 x #s(literal 1/2835 binary64))
accuracy0.8357372036735351
#s(approx (log (/ (sinh x) x)) (*.f64 (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)))
accuracy0.0078125
(/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))
accuracy0.12890625
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))))
accuracy0.8357372036735351
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))))
accuracy0.9257946470289491
#s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))
accuracy0.01171875
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
accuracy0.14453125
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
accuracy0.8357372036735351
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
accuracy0.8498185286056733
#s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
Samples
169.0ms163×2valid
61.0ms89×1valid
1.0ms0valid
Compiler

Compiled 274 to 42 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-mult: 42.0ms (22.7% of total)
ival-log: 37.0ms (20% of total)
const: 24.0ms (13% of total)
adjust: 23.0ms (12.5% of total)
ival-sinh: 20.0ms (10.8% of total)
ival-add: 19.0ms (10.3% of total)
ival-div: 18.0ms (9.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.4%)

Memory
-22.0MiB live, 34.5MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#<alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))>
#<alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))>
#<alt (*.f64 x x)>
#<alt #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))>
#<alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))))>
#<alt (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))))>
#<alt (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))>
#<alt #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))>
#<alt #s(approx (log (/ (sinh x) x)) (*.f64 (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)))>
#<alt (*.f64 (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))>
#<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 (/.f64 x (/.f64 #s(literal 1 binary64) x))>
#<alt #s(approx (log (/ (sinh x) x)) (*.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 #s(literal 1 binary64) x))))>
#<alt (*.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 #s(literal 1 binary64) x)))>
#<alt (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 (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))>
#<alt #s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))>
#<alt #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))>
#<alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))>
#<alt (*.f64 x #s(literal 1/2835 binary64))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))>
#<alt (*.f64 (*.f64 x x) #s(literal 1/120 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 (* 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 6>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))>
#<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 (* 1/6 (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 (* 1/6 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 6>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))>
#<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 (* 1/6 (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 1/6>
#<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 (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 (* 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 1/6>
#<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 (* 1/6 (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>
#<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>
#<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 (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt 6>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (+ 6 (* 1/5 (pow x 2)))>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 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 (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<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 (* 1/2835 (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 2835 (pow x 4))>
#<alt (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))>
#<alt (/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))>
#<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 (* 1/2835 (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 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 (/ 2835 (pow x 4))>
#<alt (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))>
#<alt (/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))>
#<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 (* 1/2835 (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 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<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 (* 1/2835 (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 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 (+ (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 (* 1/2 (/ (- (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 (* 1/120 (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 (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<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 (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<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 (* 1/2835 (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 2835 (pow x 4))>
#<alt (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))>
#<alt (/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))>
#<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 (* 1/2835 (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 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 (/ 2835 (pow x 4))>
#<alt (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))>
#<alt (/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))>
#<alt (/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))>
#<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 (* 1/2835 (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 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<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 (* 1/2835 (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 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 (+ (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 (* 1/2 (/ (- (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 (* 1/120 (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 (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<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 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((log (/ (sinh x) x)) (/ (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (log (/ (sinh x) x)) (* x (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))) (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (log (/ (sinh x) x)) (* (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) (* x x)) (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) (/ x (/ 1 x)) (log (/ (sinh x) x)) (* (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6) (/ x (/ 1 x))) (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (* (* x x) (* (* x x) 1/120)) (+ (* (* x x) 1/5) 6) (* x 1/2835) (* x (+ (* (* x x) 1/2835) -1/180)) (* (* x x) 1/120))
9.0ms
x
@inf
((log (/ (sinh x) x)) (/ (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (log (/ (sinh x) x)) (* x (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))) (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (log (/ (sinh x) x)) (* (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) (* x x)) (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) (/ x (/ 1 x)) (log (/ (sinh x) x)) (* (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6) (/ x (/ 1 x))) (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (* (* x x) (* (* x x) 1/120)) (+ (* (* x x) 1/5) 6) (* x 1/2835) (* x (+ (* (* x x) 1/2835) -1/180)) (* (* x x) 1/120))
2.0ms
x
@0
((log (/ (sinh x) x)) (/ (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (* x x) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (log (/ (sinh x) x)) (* x (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))) (/ x (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (log (/ (sinh x) x)) (* (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) (* x x)) (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6) (/ x (/ 1 x)) (log (/ (sinh x) x)) (* (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6) (/ x (/ 1 x))) (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (* (* x x) (* (* x x) 1/120)) (+ (* (* x x) 1/5) 6) (* x 1/2835) (* x (+ (* (* x x) 1/2835) -1/180)) (* (* x x) 1/120))

simplify291.0ms (2.3%)

Memory
1.6MiB live, 380.8MiB allocated
Algorithm
egg-herbie
Rules
17 076×lower-fma.f64
17 076×lower-fma.f32
4 482×lower-*.f64
4 482×lower-*.f32
2 466×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01402740
13572716
28702716
321062716
449532716
083772580
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* 1/5 (pow x 2)))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 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))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (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 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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (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 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 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)))))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2835 (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 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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2835 (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 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 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 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (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 (*.f64 x 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 x (*.f64 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 (*.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))))
(* 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 (*.f64 x 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 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -59/94500 binary64)) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(* 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 (*.f64 x 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 x (*.f64 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 (*.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))))
(* 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 (*.f64 x 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 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(* 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 x (*.f64 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 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -59/94500 binary64)) #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64))
(* 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 (*.f64 x 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 x (*.f64 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 (*.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))))
(* 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 (*.f64 x 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 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
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 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 x 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 x (*.f64 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 (*.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))))
(* 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 (*.f64 x 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 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
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 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(* 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 (*.f64 x 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 x (*.f64 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 (*.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))))
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 (*.f64 x 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 (*.f64 x 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
#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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/120 (pow x 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/120 (pow x 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/120 (pow x 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/120 (pow x 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 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))
(* -1/180 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)))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 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))
(* 1/2835 (pow x 6))
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2835 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 2835 (pow x 4))
(/.f64 #s(literal 2835 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal -10180485/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -10180485/16 binary64) (/.f64 #s(literal -1991624355/64 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
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(/.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal -10180485/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (+.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -10180485/16 binary64) (/.f64 #s(literal -1991624355/64 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x 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))))
(* 1/2835 (pow x 6))
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2835 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 4))
(*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(+ (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))))
(* 1/2835 (pow x 6))
(*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/2835 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 4))
(*.f64 x (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #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 (-.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))))
(* 1/2 (/ (- (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))
(* 1/120 (pow x 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/120 (pow x 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/120 (pow x 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/120 (pow x 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/120 (pow x 4))
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 1/5 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/5 binary64))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 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 (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)))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))

rewrite613.0ms (4.9%)

Memory
7.2MiB live, 447.5MiB allocated
Rules
6 698×lower-fma.f32
6 688×lower-fma.f64
4 496×lower-*.f32
4 482×lower-*.f64
3 568×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050367
073361
1280345
21508345
08480339
Stop Event
iter limit
node limit
iter limit
Counts
23 → 650
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))
(*.f64 x x)
#s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))))
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (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)))
(*.f64 (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 (*.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 #s(literal 1 binary64) x))
#s(approx (log (/ (sinh x) x)) (*.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 #s(literal 1 binary64) x))))
(*.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 #s(literal 1 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))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
#s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
#s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))
(*.f64 x #s(literal 1/2835 binary64))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (neg.f64 x)) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))) (/.f64 (*.f64 x (neg.f64 x)) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(neg.f64 (/.f64 (*.f64 x (neg.f64 x)) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) (*.f64 x (neg.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (*.f64 x x))))
(/.f64 x (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) #s(literal -1 binary64))
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (neg.f64 x)) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
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(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/8037225 binary64))))) (-.f64 (*.f64 x #s(literal -1/180 binary64)) (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x)))))
(*.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)) x)
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/22785532875 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/8037225 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) (*.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal -1/180 binary64)))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 #s(literal 1/180 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 #s(literal 1/180 binary64) x))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/22785532875 binary64)) #s(literal -1/5832000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/8037225 binary64)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/510300 binary64)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/8037225 binary64)) #s(literal -1/32400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/22785532875 binary64)) #s(literal -1/5832000 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/8037225 binary64)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) #s(literal 1/510300 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/8037225 binary64)) #s(literal -1/32400 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -1/120 binary64)))
(/.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal 1/120 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x)

eval145.0ms (1.2%)

Memory
-7.9MiB live, 303.1MiB allocated
Compiler

Compiled 31 163 to 1 753 computations (94.4% saved)

prune350.0ms (2.8%)

Memory
9.5MiB live, 222.2MiB allocated
Pruning

26 alts after pruning (15 fresh and 11 done)

PrunedKeptTotal
New1 14861 154
Fresh6915
Picked145
Done077
Total1 155261 181
Accuracy
99.3%
Counts
1 181 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.8%
(fma.f64 (pow.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))))))
46.7%
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)))))
46.8%
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
20.7%
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
46.8%
(log.f64 (/.f64 (sinh.f64 x) x))
46.3%
(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))))
46.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x #s(approx (* x (+ (* (* x x) 1/5040) 1/120)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
46.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
46.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64))))
1.6%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
2.1%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
1.7%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* x (* x (+ (* x (* x 1/120)) 1/6))) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
98.4%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.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)))) (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))))
98.4%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
98.5%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
98.4%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(approx (+ (* (* x x) 1/5) 6) #s(literal 6 binary64)))))
98.4%
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)) x)))
97.6%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (*.f64 x x))))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (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)))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
98.2%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6) #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (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)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Compiler

Compiled 1 275 to 394 computations (69.1% saved)

regimes71.0ms (0.6%)

Memory
-23.3MiB live, 58.1MiB allocated
Counts
44 → 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 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(approx (+ (* (* x x) 1/5) 6) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) 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) 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) 2)) (log 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) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6) #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (* (* x x) (+ (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) (* (* x x) (+ (* x (* x 1/2835)) -1/180)))) -1/36))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 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 (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)))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (* (* x x) (+ (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) (* (* x x) (+ (* x (* x 1/2835)) -1/180)))) -1/36))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (*.f64 x x)))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -19/3150 binary64) #s(literal 1/5 binary64)) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x 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)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (fma.f64 (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)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 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 (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 #s(literal 1 binary64) x))))
#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) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 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 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (-.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) 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 (*.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))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 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 binary64) (/.f64 (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 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))))))
(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 #s(approx (* x (+ (* x (* x 1/120)) 1/6)) (*.f64 #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 (*.f64 x x) (*.f64 (*.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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x (*.f64 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) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x #s(approx (* x (+ (* (* x x) 1/5040) 1/120)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 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))))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))
(log.f64 (/.f64 (sinh.f64 x) x))
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.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))) (+.f64 (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))))))
Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
Calls

3 calls:

44.0ms
(/.f64 (sinh.f64 x) x)
15.0ms
x
9.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1(log.f64 (/.f64 (sinh.f64 x) x))
98.5%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes10.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
11 → 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 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(approx (+ (* (* x x) 1/5) 6) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) 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) 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) 2)) (log 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) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6) #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) -1/6) (* (* x x) (+ (* (+ (* x (* x 1/2835)) -1/180) (* (* x x) (* (* x x) (+ (* x (* x 1/2835)) -1/180)))) -1/36))) (/.f64 #s(literal 6 binary64) (*.f64 x x)))))
Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)) x)))
Calls

3 calls:

4.0ms
x
3.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
3.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
98.4%1x
98.4%1(log.f64 (/.f64 (sinh.f64 x) x))
98.4%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
8 → 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 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(approx (+ (* (* x x) 1/5) 6) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) 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) 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) 2)) (log 2)) (*.f64 x (*.f64 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 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 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
98.4%1x
98.4%1(log.f64 (/.f64 (sinh.f64 x) x))
98.4%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes17.0ms (0.1%)

Memory
-28.3MiB live, 9.7MiB allocated
Accuracy

Total -0.1b remaining (-8.7%)

Threshold costs -0.1b (-8.7%)

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 #s(literal 1/6 binary64) (*.f64 x x)))
Calls

3 calls:

14.0ms
(/.f64 (sinh.f64 x) x)
1.0ms
x
1.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(log.f64 (/.f64 (sinh.f64 x) x))
98.3%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0%)

Memory
13.3MiB live, 13.3MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03197
13697
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) #s(literal 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)))

soundness930.0ms (7.5%)

Memory
5.1MiB live, 604.6MiB allocated
Rules
19 346×lower-fma.f64
19 346×lower-fma.f32
16 092×lower-fma.f64
16 092×lower-fma.f32
6 698×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01562542
14002514
29582506
322192506
448632506
084002399
050367
073361
1280345
21508345
08480339
040259
073254
1260254
21843254
08529254
059394
1157390
2395384
31185384
42108384
53947384
64556380
74957380
86431380
08051362
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 161 to 89 computations (44.7% saved)

preprocess41.0ms (0.3%)

Memory
5.5MiB live, 119.2MiB allocated
Compiler

Compiled 140 to 66 computations (52.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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