bug500, discussion (missed optimization)

Time bar (total: 10.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze104.0ms (1%)

Memory
13.4MiB live, 130.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
50.4%50.4%49.6%0%0%0%0%9
51%51%49%0%0%0%0%10
51.3%51.2%48.7%0%0%0%0%11
51.3%51.3%48.7%0%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample4.3s (41.6%)

Memory
-68.0MiB live, 3 461.6MiB allocated
Samples
2.1s5 481×2valid
717.0ms7 858×1exit
339.0ms2 402×1valid
22.0ms373×0valid
0.0ms5exit
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-log: 1.2s (49.9% of total)
ival-sinh: 709.0ms (28.6% of total)
ival-div: 287.0ms (11.6% of total)
adjust: 227.0ms (9.2% of total)
ival-true: 14.0ms (0.6% of total)
ival-assert: 7.0ms (0.3% of total)
Bogosity

explain351.0ms (3.4%)

Memory
-12.4MiB live, 185.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
151105(-4.669008431097393e-264)5(-15719.152228747642)(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))sensitivity2510
Confusion
Predicted +Predicted -
+1465
-1050
Precision
0.5816733067729084
Recall
0.9668874172185431
Confusion?
Predicted +Predicted MaybePredicted -
+14605
-10500
Precision?
0.5816733067729084
Recall?
0.9668874172185431
Freqs
test
numberfreq
05
1251
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
6.90625
Average Time
0.0269775390625
Samples
190.0ms12×0valid
57.0ms159×2valid
12.0ms85×1valid
Compiler

Compiled 43 to 18 computations (58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 249.0ms
ival-log: 222.0ms (89.2% of total)
ival-sinh: 17.0ms (6.8% of total)
ival-div: 6.0ms (2.4% of total)
adjust: 4.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess174.0ms (1.7%)

Memory
2.4MiB live, 78.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify95.0ms (0.9%)

Memory
10.8MiB live, 47.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize89.0ms (0.9%)

Memory
-3.7MiB live, 34.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(sinh.f64 x)
accuracy0.01953125
(/.f64 (sinh.f64 x) x)
accuracy33.79297057693521
(log.f64 (/.f64 (sinh.f64 x) x))
Samples
59.0ms159×2valid
12.0ms85×1valid
1.0ms12×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-log: 31.0ms (53.5% of total)
ival-sinh: 17.0ms (29.3% of total)
ival-div: 5.0ms (8.6% of total)
adjust: 4.0ms (6.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series76.0ms (0.7%)

Memory
1.0MiB live, 81.1MiB allocated
Counts
3 → 16
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
Outputs
(* 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)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
Calls

3 calls:

TimeVariablePointExpression
40.0ms
x
@-inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
34.0ms
x
@inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
2.0ms
x
@0
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))

simplify224.0ms (2.2%)

Memory
-14.0MiB live, 154.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059187
1157186
2395180
31185180
42108180
53940180
64548179
74949179
86422179
08045161
Stop Event
iter limit
node limit
Counts
16 → 15
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)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 (neg.f64 x)))

rewrite131.0ms (1.3%)

Memory
3.3MiB live, 199.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
0711
12311
212411
393111
0854911
Stop Event
iter limit
node limit
iter limit
Counts
3 → 444
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
Outputs
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x)))))
(*.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))))
(*.f64 (*.f64 (log.f64 (*.f64 x (sinh.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 x (sinh.f64 x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 (*.f64 x (sinh.f64 x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))
(*.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))))) (log.f64 (/.f64 x (sinh.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x))))))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (sinh.f64 x)))
(/.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 3 binary64))) (neg.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #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 x))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (neg.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) #s(literal 1/2 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 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (-.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 (sinh.f64 x) #s(literal 1 binary64))
(sinh.f64 x)
(neg.f64 (sinh.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (sinh.f64 x)))
(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)))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(fma.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)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(fma.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) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (/.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)))
(-.f64 (/.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)))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) #s(literal 2 binary64) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 #s(literal 0 binary64)) (cosh.f64 x)) (*.f64 (cosh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 x))))
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64)))
(+.f64 (*.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)))
(+.f64 (*.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)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (neg.f64 (neg.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) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 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 #s(literal 0 binary64) (sinh.f64 x))

eval90.0ms (0.9%)

Memory
22.2MiB live, 98.2MiB allocated
Compiler

Compiled 8 848 to 1 621 computations (81.7% saved)

prune24.0ms (0.2%)

Memory
-18.4MiB live, 25.6MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4527459
Fresh000
Picked011
Done000
Total4528460
Accuracy
98.1%
Counts
460 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(log.f64 (/.f64 (sinh.f64 x) x))
47.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
47.2%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
46.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
97.7%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
97.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
97.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 255 to 164 computations (35.7% saved)

simplify262.0ms (2.5%)

Memory
-7.5MiB live, 104.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
030280
052280
197280
2174280
3393280
4872280
51503280
61925280
72436280
82929280
93539280
103727280
114045280
126698280
08165280
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize282.0ms (2.7%)

Memory
-0.6MiB live, 155.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.01171875
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy1.5554843900946782
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy33.79297057693521
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy0.03125
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
accuracy0.1484375
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy0.3203125
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy1.300837711882309
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy0.01171875
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.140625
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy0.3203125
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy1.543287756596385
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy0
(*.f64 x x)
accuracy0.2578125
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
accuracy1.9760444303250295
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.0234375
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.1484375
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy0.3203125
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy1.2642866750008657
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Samples
180.0ms159×2valid
48.0ms85×1valid
3.0ms12×0valid
Compiler

Compiled 517 to 62 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 195.0ms
const: 52.0ms (26.7% of total)
ival-log: 42.0ms (21.5% of total)
ival-mult: 36.0ms (18.5% of total)
ival-sinh: 23.0ms (11.8% of total)
adjust: 21.0ms (10.8% of total)
ival-add: 14.0ms (7.2% of total)
ival-div: 6.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
-27.5MiB live, 42.1MiB allocated
Counts
19 → 58
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
Outputs
(* 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))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(pow x 2)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -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)))))))
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ (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)))))
(* 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)))))
(* 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)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -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 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -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)))))))
Calls

3 calls:

TimeVariablePointExpression
31.0ms
x
@-inf
((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (+ (* -1/37800 (* x x)) 1/2835))
10.0ms
x
@inf
((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (+ (* -1/37800 (* x x)) 1/2835))
2.0ms
x
@0
((log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (+ (* -1/37800 (* x x)) 1/2835))

simplify117.0ms (1.1%)

Memory
24.9MiB live, 134.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137648
1358647
2957647
32683647
46972647
08178615
Stop Event
iter limit
node limit
Counts
58 → 58
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 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* 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)))
(pow x 2)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -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)))))))
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ (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)))))
(* 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)))))
(* 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)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -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 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -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)))))))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
1/2835
#s(literal 1/2835 binary64)
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2835 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* 1/2835 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -1/180 (pow x 2))
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* -1/37800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/37800 binary64))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* -1/37800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/37800 binary64))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))))
(* -1/37800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(* -1/37800 (pow x 2))
(*.f64 #s(literal -1/37800 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/37800 binary64))))

rewrite259.0ms (2.5%)

Memory
4.9MiB live, 283.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030234
052234
1192234
21262234
08434234
Stop Event
iter limit
node limit
iter limit
Counts
19 → 385
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
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(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8037225 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8037225 binary64)) (pow.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8037225 binary64) (-.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))
(*.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64)) (pow.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))) (*.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (fma.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8037225 binary64) (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8037225 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)) #s(literal 4 binary64)) #s(literal 1/64596985700625 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64)) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2917096519063104000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/519180508397705765625 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)) #s(literal 4 binary64)) (+.f64 #s(literal 1/64596985700625 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/11483908569000000 binary64)))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2917096519063104000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/519180508397705765625 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/22785532875 binary64)) (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/157552826393269144631808000000000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/11829804542155138297225482421875 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2917096519063104000000000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/519180508397705765625 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/1230650093979747000000000 binary64)))) (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (*.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/8037225 binary64))) (*.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))
(/.f64 (-.f64 #s(literal 1/8037225 binary64) (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8037225 binary64))) (neg.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64))) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (-.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64))) (neg.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)))))
(/.f64 (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8037225 binary64)) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))
(/.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64)) (+.f64 #s(literal 1/8037225 binary64) (-.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64)) (fma.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x))) (-.f64 #s(literal 1/8037225 binary64) (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8037225 binary64) (-.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))) (fma.f64 #s(literal -1/54010152000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/22785532875 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))))
(fma.f64 (*.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64))
(fma.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(fma.f64 x (*.f64 #s(literal -1/37800 binary64) x) #s(literal 1/2835 binary64))
(-.f64 (/.f64 #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (neg.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))))
(+.f64 (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)) #s(literal 1/2835 binary64))
(+.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)))

eval130.0ms (1.3%)

Memory
-9.8MiB live, 107.1MiB allocated
Compiler

Compiled 17 736 to 2 386 computations (86.5% saved)

prune24.0ms (0.2%)

Memory
9.8MiB live, 47.0MiB allocated
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New47911490
Fresh022
Picked145
Done011
Total48018498
Accuracy
98.3%
Counts
498 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(log.f64 (/.f64 (sinh.f64 x) x))
47.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
47.2%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
46.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
97.7%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
97.3%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
96.7%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) (*.f64 x x)))))
97.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
97.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
42.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x))))) x))
97.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
97.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
97.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
97.7%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
97.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.7%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
96.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
29.1%
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 759 to 457 computations (39.8% saved)

simplify239.0ms (2.3%)

Memory
-16.3MiB live, 188.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x)
cost-diff0
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
cost-diff0
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
cost-diff0
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff0
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
cost-diff0
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
cost-diff0
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047415
077411
1136405
2239405
3587405
41417405
53929405
66195405
76965405
87419405
97858405
08006401
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/32400 binary64)
#s(literal -1/36 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x) x)
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (/.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))
(fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/32400 binary64)
#s(literal -1/36 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

localize377.0ms (3.6%)

Memory
16.1MiB live, 293.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
accuracy0.30859375
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x)
accuracy0.38509750976844204
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy1.543287756596385
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.02734375
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy1.3297190397621936
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy33.79297057693521
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.01171875
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.140625
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)
accuracy1.543287756596385
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
accuracy0.1484375
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy0.3203125
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy1.2642866750008657
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy2.0158592475869948
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy0.03125
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))
accuracy0.22951127930532603
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
accuracy0.252948779305326
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy1.2642866750008657
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
Samples
239.0ms159×2valid
67.0ms85×1valid
5.0ms12×0valid
Compiler

Compiled 747 to 98 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 247.0ms
ival-mult: 64.0ms (25.9% of total)
ival-sinh: 34.0ms (13.8% of total)
ival-log: 34.0ms (13.8% of total)
const: 33.0ms (13.3% of total)
adjust: 32.0ms (12.9% of total)
ival-add: 22.0ms (8.9% of total)
ival-div: 18.0ms (7.3% of total)
ival-pow2: 6.0ms (2.4% of total)
ival-pow: 4.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series61.0ms (0.6%)

Memory
-6.5MiB live, 30.7MiB allocated
Counts
22 → 76
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x)
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
Outputs
(* 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))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
-1/36
(- (* 1/32400 (pow x 4)) 1/36)
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* 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)))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (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)))))))
(+ 1/6 (* 1/120 (pow x 2)))
(* -1/36 x)
(* x (- (* 1/32400 (pow x 4)) 1/36))
1/32400
(+ 1/32400 (* -1/255150 (pow x 2)))
(+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))
(+ (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)))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 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)))))
(* 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)))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(* 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)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/32400 (pow x 5))
(* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/8037225 (pow x 4))
(* (pow x 4) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -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 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)))
Calls

3 calls:

TimeVariablePointExpression
46.0ms
x
@-inf
((log (/ (sinh x) x)) (/ (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* x x)) (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (log (/ (sinh x) x)) (* (/ (* (+ (* (pow x 4) 1/32400) -1/36) x) (+ (* -1/180 (* x x)) -1/6)) x) (/ (* (+ (* (pow x 4) 1/32400) -1/36) x) (+ (* -1/180 (* x x)) -1/6)) (* (+ (* (pow x 4) 1/32400) -1/36) x) (pow (+ (* (* x x) 1/2835) -1/180) 2) (+ (* -1/180 (* x x)) 1/6))
11.0ms
x
@inf
((log (/ (sinh x) x)) (/ (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* x x)) (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (log (/ (sinh x) x)) (* (/ (* (+ (* (pow x 4) 1/32400) -1/36) x) (+ (* -1/180 (* x x)) -1/6)) x) (/ (* (+ (* (pow x 4) 1/32400) -1/36) x) (+ (* -1/180 (* x x)) -1/6)) (* (+ (* (pow x 4) 1/32400) -1/36) x) (pow (+ (* (* x x) 1/2835) -1/180) 2) (+ (* -1/180 (* x x)) 1/6))
3.0ms
x
@0
((log (/ (sinh x) x)) (/ (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* x x)) (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (log (/ (sinh x) x)) (* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (log (/ (sinh x) x)) (* (/ (* (+ (* (pow x 4) 1/32400) -1/36) x) (+ (* -1/180 (* x x)) -1/6)) x) (/ (* (+ (* (pow x 4) 1/32400) -1/36) x) (+ (* -1/180 (* x x)) -1/6)) (* (+ (* (pow x 4) 1/32400) -1/36) x) (pow (+ (* (* x x) 1/2835) -1/180) 2) (+ (* -1/180 (* x x)) 1/6))

simplify175.0ms (1.7%)

Memory
7.2MiB live, 121.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198807
1512806
21342803
33438803
47638803
08171750
Stop Event
iter limit
node limit
Counts
76 → 76
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))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
-1/36
(- (* 1/32400 (pow x 4)) 1/36)
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* 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)))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (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)))))))
(+ 1/6 (* 1/120 (pow x 2)))
(* -1/36 x)
(* x (- (* 1/32400 (pow x 4)) 1/36))
1/32400
(+ 1/32400 (* -1/255150 (pow x 2)))
(+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))
(+ (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)))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 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)))))
(* 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)))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(* 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)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/32400 (pow x 5))
(* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/8037225 (pow x 4))
(* (pow x 4) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -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 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* -1/36 (pow x 2))
(*.f64 #s(literal -1/36 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64)) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
-1/36
#s(literal -1/36 binary64)
(- (* 1/32400 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)
(fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64)) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 (*.f64 x 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 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4500 binary64) (*.f64 x x) #s(literal 1/150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* -1/36 x)
(*.f64 #s(literal -1/36 binary64) x)
(* x (- (* 1/32400 (pow x 4)) 1/36))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x)
1/32400
#s(literal 1/32400 binary64)
(+ 1/32400 (* -1/255150 (pow x 2)))
(fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64))
(+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))
(fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64)) (*.f64 x x) #s(literal 1/32400 binary64))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/8037225 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 10 binary64)))
(* 1/8037225 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(* 1/2835 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* 1/2835 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(/ -180 (pow x 2))
(/.f64 #s(literal -180 binary64) (*.f64 x x))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -180 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 162000 binary64) (*.f64 x x)) #s(literal 5400 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 4860000 binary64) (*.f64 x x)) #s(literal 162000 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/120 (pow x 4))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/120 (pow x 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/32400 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/32400 binary64))
(* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/32400 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* 1/8037225 (pow x 4))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/255150 binary64) (*.f64 x x)))
(* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/255150 binary64) (*.f64 x x)))
(* -1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/180 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)))
(*.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/32400 binary64)) (pow.f64 x #s(literal 5 binary64)))

rewrite213.0ms (2.1%)

Memory
15.2MiB live, 256.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047345
077326
1306288
21932288
08519282
Stop Event
iter limit
node limit
iter limit
Counts
22 → 706
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x)
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) x)) #s(literal -1 binary64)) (/.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
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(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/1080 binary64))))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/1080 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/1049760000 binary64)) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1/6 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal -1/6 binary64))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/180 binary64) (*.f64 x x)))

eval93.0ms (0.9%)

Memory
-7.1MiB live, 149.8MiB allocated
Compiler

Compiled 23 172 to 3 026 computations (86.9% saved)

prune23.0ms (0.2%)

Memory
15.3MiB live, 54.6MiB allocated
Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New6198627
Fresh358
Picked325
Done055
Total62520645
Accuracy
98.3%
Counts
645 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(log.f64 (/.f64 (sinh.f64 x) x))
47.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
47.2%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
46.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
45.5%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
97.7%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
97.3%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
97.2%
#s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
96.7%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))))
97.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
97.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))
97.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
97.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* (pow x 4) 1/32400) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
97.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
96.7%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
97.7%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
97.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.7%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
96.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
29.1%
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 733 to 487 computations (33.6% saved)

simplify106.0ms (1%)

Memory
-27.3MiB live, 132.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff0
(pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
cost-diff6848
(/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))))
cost-diff128
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))
cost-diff1792
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x)))
cost-diff0
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
cost-diff0
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
cost-diff0
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff0
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x))
cost-diff0
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048477
078483
1140475
2287460
3969442
43735442
56699442
08080442
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
(*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)
#s(literal -1/36 binary64)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal -1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
x
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
#s(literal 1/5 binary64)
(*.f64 x x)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal -1 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
(/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
x
(pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (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 x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (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 x)) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (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 x))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (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 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
(*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
#s(literal -1/36 binary64)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal -1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
x
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
#s(literal 1/5 binary64)
(*.f64 x x)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal -1 binary64)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
x
(pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#s(literal -1 binary64)

localize360.0ms (3.5%)

Memory
34.9MiB live, 422.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1640625
(/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
accuracy0.27734375
(pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
accuracy0.3203125
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy1.543287756596385
#s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
accuracy0.015625
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.15625
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))
accuracy0.4829602485814249
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x)))
accuracy1.543287756596385
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))))
accuracy0.00390625
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
accuracy0.140625
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
accuracy1.5285301348157978
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
accuracy1.543287756596385
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
accuracy0.00390625
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy0.140625
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
accuracy1.543287756596385
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
accuracy2.1143484732506868
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
accuracy0.21875
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)
accuracy0.22951127930532603
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x))
accuracy0.252948779305326
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy1.2642866750008657
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
Samples
201.0ms159×2valid
111.0ms85×1valid
4.0ms12×0valid
Compiler

Compiled 867 to 95 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 256.0ms
ival-mult: 71.0ms (27.8% of total)
const: 40.0ms (15.6% of total)
ival-div: 37.0ms (14.5% of total)
ival-log: 34.0ms (13.3% of total)
adjust: 26.0ms (10.2% of total)
ival-sinh: 26.0ms (10.2% of total)
ival-add: 12.0ms (4.7% of total)
ival-pow: 8.0ms (3.1% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
-29.3MiB live, 58.7MiB allocated
Counts
21 → 71
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
#s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
(pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)
Outputs
(* 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))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
-1/36
(- (* 1/32400 (pow x 4)) 1/36)
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(/ 6 (pow x 2))
(/ (+ 6 (* 1/5 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) (pow x 2))
-6
(- (* -1/5 (pow x 2)) 6)
(- (* (pow x 2) (- (* -1/150 (pow x 2)) 1/5)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/4500 (pow x 2)) 1/150)) 1/5)) 6)
(/ 6 x)
(/ (+ 6 (* 1/5 (pow x 2))) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) x)
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(+ (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)))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(/ -180 (pow x 4))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 4))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 4))
(/ 180 (pow x 2))
(/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (/ 162000 (pow x 4)))) (pow x 2))
(/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (+ (* 4860000 (/ 1 (pow x 6))) (/ 162000 (pow x 4))))) (pow x 2))
(/ -180 (pow x 3))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 3)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 3))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 3))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (/ 162000 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (+ (* 4860000 (/ 1 (pow x 6))) (/ 162000 (pow x 4))))) (pow x 3)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
@inf
((log (/ (sinh x) x)) (/ (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* x x)) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (/ 1 (/ (/ -1 (+ (* -1/180 (* x x)) 1/6)) (* (neg x) x))) (/ (/ -1 (+ (* -1/180 (* x x)) 1/6)) (* (neg x) x)) (log (/ (sinh x) x)) (/ -1 (+ (* -1/180 (* x x)) 1/6)) (/ x (pow (* (+ (* -1/180 (* x x)) 1/6) x) -1)) (log (/ (sinh x) x)) (pow (* (+ (* -1/180 (* x x)) 1/6) x) -1) (* (+ (* -1/180 (* x x)) 1/6) x) (* (+ (* 1/2835 (* x x)) -1/180) x))
10.0ms
x
@-inf
((log (/ (sinh x) x)) (/ (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* x x)) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (/ 1 (/ (/ -1 (+ (* -1/180 (* x x)) 1/6)) (* (neg x) x))) (/ (/ -1 (+ (* -1/180 (* x x)) 1/6)) (* (neg x) x)) (log (/ (sinh x) x)) (/ -1 (+ (* -1/180 (* x x)) 1/6)) (/ x (pow (* (+ (* -1/180 (* x x)) 1/6) x) -1)) (log (/ (sinh x) x)) (pow (* (+ (* -1/180 (* x x)) 1/6) x) -1) (* (+ (* -1/180 (* x x)) 1/6) x) (* (+ (* 1/2835 (* x x)) -1/180) x))
2.0ms
x
@0
((log (/ (sinh x) x)) (/ (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* x x)) (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) -1/6)) (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (* x x)) (+ (* (+ (* 1/2835 (* x x)) -1/180) (* (* x x) (* (* (+ (* 1/2835 (* x x)) -1/180) x) x))) -1/36) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (log (/ (sinh x) x)) (* (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) x) (/ x (/ 1 (+ (* -1/180 (* x x)) 1/6))) (/ 1 (+ (* -1/180 (* x x)) 1/6)) (/ 1 (/ (/ -1 (+ (* -1/180 (* x x)) 1/6)) (* (neg x) x))) (/ (/ -1 (+ (* -1/180 (* x x)) 1/6)) (* (neg x) x)) (log (/ (sinh x) x)) (/ -1 (+ (* -1/180 (* x x)) 1/6)) (/ x (pow (* (+ (* -1/180 (* x x)) 1/6) x) -1)) (log (/ (sinh x) x)) (pow (* (+ (* -1/180 (* x x)) 1/6) x) -1) (* (+ (* -1/180 (* x x)) 1/6) x) (* (+ (* 1/2835 (* x x)) -1/180) x))

simplify196.0ms (1.9%)

Memory
41.3MiB live, 188.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0203877
1475876
21284866
33427865
47936865
08674821
Stop Event
iter limit
node limit
Counts
71 → 71
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))))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
-1/36
(- (* 1/32400 (pow x 4)) 1/36)
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(/ 6 (pow x 2))
(/ (+ 6 (* 1/5 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) (pow x 2))
-6
(- (* -1/5 (pow x 2)) 6)
(- (* (pow x 2) (- (* -1/150 (pow x 2)) 1/5)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/4500 (pow x 2)) 1/150)) 1/5)) 6)
(/ 6 x)
(/ (+ 6 (* 1/5 (pow x 2))) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) x)
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(+ (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)))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(/ -180 (pow x 2))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(/ -180 (pow x 4))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 4)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 4))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 4))
(/ 180 (pow x 2))
(/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (/ 162000 (pow x 4)))) (pow x 2))
(/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (+ (* 4860000 (/ 1 (pow x 6))) (/ 162000 (pow x 4))))) (pow x 2))
(/ -180 (pow x 3))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 3)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 3))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 3))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (/ 162000 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (+ (* 4860000 (/ 1 (pow x 6))) (/ 162000 (pow x 4))))) (pow x 3)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* -1/36 (pow x 2))
(*.f64 #s(literal -1/36 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/32400 (pow x 4)) 1/36))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) x)
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
(* (pow x 2) (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64)) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) x)
-1/36
#s(literal -1/36 binary64)
(- (* 1/32400 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)
(fma.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64)) (*.f64 x x) #s(literal 1/32400 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4500 binary64) (*.f64 x x) #s(literal 1/150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 1/5 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) x) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4500 binary64) (*.f64 x x) #s(literal 1/150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) x) x)
-6
#s(literal -6 binary64)
(- (* -1/5 (pow x 2)) 6)
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* -1/150 (pow x 2)) 1/5)) 6)
(fma.f64 (fma.f64 #s(literal -1/150 binary64) (*.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/4500 (pow x 2)) 1/150)) 1/5)) 6)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4500 binary64) (*.f64 x x) #s(literal -1/150 binary64)) (*.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal -6 binary64))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ (+ 6 (* 1/5 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* 1/150 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (+ 1/150 (* 1/4500 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4500 binary64) (*.f64 x x) #s(literal 1/150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)) x)
(* -1/180 x)
(*.f64 #s(literal -1/180 binary64) x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/8037225 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 10 binary64)))
(* 1/8037225 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ -180 (pow x 2))
(/.f64 #s(literal -180 binary64) (*.f64 x x))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 2))
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 162000 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 4860000 binary64) (*.f64 x x)) #s(literal 162000 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/ -180 (pow x 4))
(/.f64 #s(literal -180 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 4))
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 162000 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 4860000 binary64) (*.f64 x x)) #s(literal 162000 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/ 180 (pow x 2))
(/.f64 #s(literal 180 binary64) (*.f64 x x))
(/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 5400 binary64) (*.f64 x x)) #s(literal 180 binary64)) x) x)
(/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (/ 162000 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 162000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 180 binary64)) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (+ (* 4860000 (/ 1 (pow x 6))) (/ 162000 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4860000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 180 binary64)) (+.f64 (/.f64 #s(literal 162000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 5400 binary64) (*.f64 x x)))) (*.f64 x x))
(/ -180 (pow x 3))
(/.f64 #s(literal -180 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 180 (* 5400 (/ 1 (pow x 2)))) (pow x 3)))
(/.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 (/ (+ 5400 (* 162000 (/ 1 (pow x 2)))) (pow x 2))) 180) (pow x 3))
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 162000 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 (/ (+ 162000 (* 4860000 (/ 1 (pow x 2)))) (pow x 4))) (+ 180 (* 5400 (/ 1 (pow x 2))))) (pow x 3))
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 4860000 binary64) (*.f64 x x)) #s(literal 162000 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* 1/2835 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2835 binary64))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (/ 162000 (pow x 4)))) (pow x 3)))
(/.f64 (-.f64 (-.f64 #s(literal -180 binary64) (/.f64 #s(literal 162000 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 5400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 180 (+ (* 5400 (/ 1 (pow x 2))) (+ (* 4860000 (/ 1 (pow x 6))) (/ 162000 (pow x 4))))) (pow x 3)))
(/.f64 (-.f64 (/.f64 #s(literal -4860000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 162000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 180 binary64)) (/.f64 #s(literal 5400 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))

rewrite261.0ms (2.5%)

Memory
-14.5MiB live, 233.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048375
078381
1295300
21646298
08431294
Stop Event
iter limit
node limit
iter limit
Counts
21 → 928
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
(/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))))
#s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
#s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
(pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)) #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64)) (*.f64 x (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (/.f64 x (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal -1/6 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (/.f64 x (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal -1/6 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal -1/6 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal -1/6 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal -1/6 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1/2 binary64))))
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(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 x)) (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
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(/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(/.f64 x (pow.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x))
(fma.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (pow.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)))
(+.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x))
(+.f64 (*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5832000 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x) (-.f64 (pow.f64 (*.f64 #s(literal -1/180 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x) (*.f64 #s(literal -1/180 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5832000 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -1/180 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 #s(literal -1/180 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5832000 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/180 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x)) (*.f64 (*.f64 #s(literal -1/180 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5832000 binary64) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/180 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) (*.f64 (*.f64 #s(literal -1/180 binary64) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64)))) (*.f64 (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal -1/510300 binary64)))) (*.f64 x (fma.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x (*.f64 #s(literal -1/180 binary64) x))
(fma.f64 #s(literal -1/180 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x))
(fma.f64 #s(literal -1/180 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 #s(literal -1/180 binary64) x))
(fma.f64 x #s(literal -1/180 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x))
(fma.f64 x #s(literal -1/180 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x) (*.f64 #s(literal -1/180 binary64) x))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) (*.f64 #s(literal -1/180 binary64) x))
(+.f64 (*.f64 #s(literal -1/180 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x))
(+.f64 (*.f64 #s(literal -1/180 binary64) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))

eval166.0ms (1.6%)

Memory
6.4MiB live, 211.6MiB allocated
Compiler

Compiled 30 004 to 3 623 computations (87.9% saved)

prune133.0ms (1.3%)

Memory
-6.8MiB live, 69.6MiB allocated
Pruning

19 alts after pruning (10 fresh and 9 done)

PrunedKeptTotal
New8585863
Fresh358
Picked325
Done077
Total86419883
Accuracy
98.3%
Counts
883 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(log.f64 (/.f64 (sinh.f64 x) x))
47.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
47.2%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
46.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
45.5%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
97.5%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* 1/2835 (* x x)) -1/180) x) (*.f64 #s(literal -1/180 binary64) x)) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
97.6%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
96.7%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
96.7%
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
97.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
97.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
96.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (neg.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))) x))
97.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* (pow x 4) 1/32400) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
97.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
96.7%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
97.7%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
97.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.7%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
96.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 1 206 to 485 computations (59.8% saved)

regimes25.0ms (0.2%)

Memory
6.9MiB live, 44.0MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* (pow x 4) 1/32400) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) x) (neg.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) x))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(approx (* (+ (* 1/2835 (* x x)) -1/180) x) (*.f64 #s(literal -1/180 binary64) x)) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) (*.f64 x x)))))
(log.f64 (/.f64 (sinh.f64 x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x))))) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

3 calls:

8.0ms
x
8.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
7.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
97.8%1x
97.8%1(log.f64 (/.f64 (sinh.f64 x) x))
97.8%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.1%)

Memory
-32.8MiB live, 14.3MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
Calls

3 calls:

7.0ms
x
3.0ms
(/.f64 (sinh.f64 x) x)
3.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
97.6%1x
97.6%1(log.f64 (/.f64 (sinh.f64 x) x))
97.6%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
Calls

3 calls:

3.0ms
x
2.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
97.4%1x
97.4%1(log.f64 (/.f64 (sinh.f64 x) x))
97.4%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

3 calls:

3.0ms
x
2.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
97.3%1x
97.3%1(log.f64 (/.f64 (sinh.f64 x) x))
97.3%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
-28.3MiB live, 10.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
Calls

3 calls:

2.0ms
x
1.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
96.7%1x
96.7%1(log.f64 (/.f64 (sinh.f64 x) x))
96.7%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 (sinh.f64 x) x)
1.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
96.7%1x
96.7%1(log.f64 (/.f64 (sinh.f64 x) x))
96.7%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
96.6%1x
96.6%1(log.f64 (/.f64 (sinh.f64 x) x))
96.6%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 10 to 8 computations (20% saved)

simplify24.0ms (0.2%)

Memory
3.9MiB live, 42.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048138
163138
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -1/180 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))

soundness952.0ms (9.2%)

Memory
9.9MiB live, 557.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198807
1512806
21342803
33438803
47638803
08171750
030234
052234
1192234
21262234
08434234
059187
1157186
2395180
31185180
42108180
53940180
64548179
74949179
86422179
08045161
0137648
1358647
2957647
32683647
46972647
08178615
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 283 to 151 computations (46.6% saved)

preprocess100.0ms (1%)

Memory
-2.1MiB live, 109.9MiB allocated
Compiler

Compiled 346 to 144 computations (58.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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