bug500, discussion (missed optimization)

Time bar (total: 12.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze159.0ms (1.3%)

Memory
-9.4MiB live, 132.4MiB allocated; 22ms collecting garbage
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)

sample6.2s (49.1%)

Memory
66.0MiB live, 4 907.5MiB allocated; 540ms collecting garbage
Samples
3.0s7 576×5exit
2.0s5 616×2valid
377.0ms2 357×1valid
16.0ms283×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.5s
ival-log: 2.4s (52.9% of total)
ival-sinh: 1.0s (23% of total)
adjust: 628.0ms (14% of total)
ival-div: 446.0ms (9.9% of total)
ival-assert: 11.0ms (0.2% of total)
Bogosity

explain188.0ms (1.5%)

Memory
-26.7MiB live, 76.8MiB allocated; 8ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
137118(-6.413627728968817e-240)0-(log.f64 (/.f64 (sinh.f64 x) x))
00-0-(sinh.f64 x)
00-0-(/.f64 (sinh.f64 x) x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 (sinh.f64 x) x))sensitivity2480
log.f64(log.f64 (/.f64 (sinh.f64 x) x))oflow-rescue70
(sinh.f64 x)overflow7
(/.f64 (sinh.f64 x) x)overflow7
Confusion
Predicted +Predicted -
+1370
-1181
Precision
0.5372549019607843
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13700
-11801
Precision?
0.5372549019607843
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
127.0ms346×2valid
20.0ms148×1valid
1.0ms18×0valid
Compiler

Compiled 33 to 16 computations (51.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-log: 69.0ms (54.2% of total)
ival-sinh: 37.0ms (29.1% of total)
adjust: 10.0ms (7.9% of total)
ival-div: 10.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess164.0ms (1.3%)

Memory
-2.7MiB live, 43.1MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
12018
24818
312718
474018
5694416
045
075
1135
2275
3675
42935
518455
675755
081035
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
Outputs
(log.f64 (/.f64 (sinh.f64 x) x))
Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 5 to 4 computations (20% saved)

series57.0ms (0.5%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Counts
4 → 17
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x
Outputs
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))))
#s(approx (/ (sinh x) x) #s(hole binary64 1))
#s(approx (/ (sinh x) x) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (/ (sinh x) x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (/ (sinh x) x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))))
#s(approx (/ (sinh x) x) #s(hole binary64 (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
30.0ms
x
@inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x) x)
25.0ms
x
@-inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x) x)
2.0ms
x
@0
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x) x)

rewrite126.0ms (1%)

Memory
-20.0MiB live, 25.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082283
086277
1423269
03404253
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
21 → 35
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))))
#s(approx (/ (sinh x) x) #s(hole binary64 1))
#s(approx (/ (sinh x) x) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (/ (sinh x) x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (/ (sinh x) x) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))
#s(approx (sinh x) #s(hole binary64 x))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* 1/6 (pow x 2))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))))
#s(approx (sinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))))
#s(approx (/ (sinh x) x) #s(hole binary64 (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))))
#s(approx (sinh x) #s(hole binary64 (* 1/2 (- (exp x) (/ 1 (exp x))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))))
Outputs
(/.f64 (-.f64 (*.f64 (log.f64 (sinh.f64 x)) (log.f64 (sinh.f64 x))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 (sinh.f64 x)) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 (sinh.f64 x)) (log.f64 (sinh.f64 x)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (sinh.f64 x)) (log.f64 x)))))
(-.f64 (log.f64 (sinh.f64 (neg.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (neg.f64 (sinh.f64 (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (sinh.f64 (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (sinh.f64 x) x)
(neg.f64 (/.f64 (sinh.f64 (neg.f64 x)) x))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (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 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
x
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 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))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) x) x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (sinh 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 (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 (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 (sinh x) x)
#s(approx (sinh x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sinh x) (*.f64 (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))
#s(approx x x)
#s(approx (log (/ (sinh x) x)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))))
#s(approx (/ (sinh x) x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) x) #s(literal 1/2 binary64)))
#s(approx (sinh x) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))
#s(approx (log (/ (sinh x) x)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))

eval8.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 476 to 160 computations (66.4% saved)

prune8.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438
Accuracy
97.5%
Counts
38 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(log.f64 (/.f64 (sinh.f64 x) x))
51.3%
(log.f64 (/.f64 #s(approx (sinh x) (*.f64 (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))
96.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) x) x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
96.9%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Compiler

Compiled 78 to 48 computations (38.5% saved)

series19.0ms (0.2%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Counts
11 → 33
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/6 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/180 (pow x 2)))))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))
#s(approx (- (* 1/2835 (* x x)) 1/180) #s(hole binary64 -1/180))
#s(approx (- (* 1/2835 (* x x)) 1/180) #s(hole binary64 (- (* 1/2835 (pow x 2)) 1/180)))
#s(approx (* 1/2835 (* x x)) #s(hole binary64 (* 1/2835 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/2835 (pow x 6))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* 1/2835 (pow x 5))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(hole binary64 (* 1/2835 (pow x 4))))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/2835 (* x x)) 1/180) #s(hole binary64 (* 1/2835 (pow x 2))))
#s(approx (- (* 1/2835 (* x x)) 1/180) #s(hole binary64 (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
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) (- (* 1/2835 (* x x)) 1/180) (* 1/2835 (* x x)) 1/2835 (* x x) x 1/180 1/6)
8.0ms
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) (- (* 1/2835 (* x x)) 1/180) (* 1/2835 (* x x)) 1/2835 (* x x) x 1/180 1/6)
1.0ms
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) (- (* 1/2835 (* x x)) 1/180) (* 1/2835 (* x x)) 1/2835 (* x x) x 1/180 1/6)

rewrite146.0ms (1.2%)

Memory
-58.2MiB live, 25.6MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122812
0134784
1501780
03517732
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
44 → 169
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x))
#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)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/180 (pow x 2)))))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))
#s(approx (- (* 1/2835 (* x x)) 1/180) #s(hole binary64 -1/180))
#s(approx (- (* 1/2835 (* x x)) 1/180) #s(hole binary64 (- (* 1/2835 (pow x 2)) 1/180)))
#s(approx (* 1/2835 (* x x)) #s(hole binary64 (* 1/2835 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/2835 (pow x 6))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* 1/2835 (pow x 5))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(hole binary64 (* 1/2835 (pow x 4))))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (- (* 1/2835 (* x x)) 1/180) #s(hole binary64 (* 1/2835 (pow x 2))))
#s(approx (- (* 1/2835 (* x x)) 1/180) #s(hole binary64 (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))))
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 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 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)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 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 (neg.f64 x) (*.f64 (neg.f64 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 (*.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))
(*.f64 (*.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 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))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.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 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 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 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 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)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (-.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 1/36 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #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) (-.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)))
(/.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 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 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 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (-.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 1/36 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.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 (*.f64 x x) #s(literal 1/6 binary64)) (*.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 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.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 (*.f64 x x) #s(literal 1/6 binary64)) (*.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 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.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 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.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 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (neg.f64 x)) (neg.f64 x) (*.f64 (*.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) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) (*.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 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (*.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 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.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 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 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))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.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 #s(literal 1/6 binary64) (*.f64 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))))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) 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 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)))
(+.f64 (*.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 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 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 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.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 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 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 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64))))
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#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 (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))
#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 (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) 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))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) 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))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (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 (- (* 1/2835 (* x x)) 1/180) #s(literal -1/180 binary64))
#s(approx (- (* 1/2835 (* x x)) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
#s(approx (* 1/2835 (* x x)) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (log (/ (sinh x) x)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64) #s(literal 1/2835 binary64))))
#s(approx (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64)))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64) #s(literal 1/2835 binary64))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)))))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64)))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64) #s(literal 1/2835 binary64))))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64) (+.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))))
#s(approx (- (* 1/2835 (* x x)) 1/180) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
#s(approx (- (* 1/2835 (* x x)) 1/180) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64) #s(literal 1/2835 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/180 binary64)) #s(literal 1/2835 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/180 binary64)) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval37.0ms (0.3%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 635 to 872 computations (84.5% saved)

prune535.0ms (4.2%)

Memory
17.1MiB live, 253.5MiB allocated; 24ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1905195
Fresh112
Picked101
Done011
Total1927199
Accuracy
97.6%
Counts
199 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(log.f64 (/.f64 (sinh.f64 x) x))
51.3%
(log.f64 (/.f64 #s(approx (sinh x) (*.f64 (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))
96.8%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)))))
96.8%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.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))))
96.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (-.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 1/36 binary64))) x))
96.9%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.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))) x))
96.7%
#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))
Compiler

Compiled 449 to 236 computations (47.4% saved)

series22.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
17 → 66
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.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))) x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.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))) x)
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.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 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x)
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(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)
#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 1/6 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))))
#s(approx (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* -1/36 x)))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* x (- (* 1/32400 (pow x 4)) 1/36))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 -1/36))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (- (* 1/32400 (pow x 4)) 1/36)))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)))
#s(approx (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) #s(hole binary64 (* 1/32400 (pow x 4))))
#s(approx (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2))))))
#s(approx (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))))
#s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) x) #s(hole binary64 (* -1/180 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* -1/180 x)))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* x (- (* 1/2835 (pow x 2)) 1/180))))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 -1/180))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 (- (* 1/2835 (pow x 2)) 1/180)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) #s(hole binary64 (- (* -1/180 (pow x 2)) 1/6)))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))))
#s(approx (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) #s(hole binary64 (* 1/2835 (pow x 6))))
#s(approx (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) #s(hole binary64 (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) #s(hole binary64 (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* 1/2835 (pow x 5))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* 1/8037225 (pow x 9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (* 1/8037225 (pow x 8))))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))))
#s(approx (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) #s(hole binary64 (* 1/8037225 (pow x 8))))
#s(approx (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) #s(hole binary64 (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) #s(hole binary64 (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) x) #s(hole binary64 (* 1/2835 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) x) #s(hole binary64 (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* 1/2835 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 (* 1/2835 (pow x 2))))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) #s(hole binary64 (* 1/2835 (pow x 4))))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) #s(hole binary64 (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225)))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* -1 (* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((log (/ (sinh x) x)) (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x) (+ (* (* x x) 1/2835) -1/180) (* x x) x 1/2835 -1/180 2 1/36 (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) 1/6)
9.0ms
x
@-inf
((log (/ (sinh x) x)) (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x) (+ (* (* x x) 1/2835) -1/180) (* x x) x 1/2835 -1/180 2 1/36 (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) 1/6)
2.0ms
x
@0
((log (/ (sinh x) x)) (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x) (+ (* (* x x) 1/2835) -1/180) (* x x) x 1/2835 -1/180 2 1/36 (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) 1/6)

rewrite201.0ms (1.6%)

Memory
-1.2MiB live, 46.4MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312014
02511965
19441684
077361592
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
83 → 319
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.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))) x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.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))) x)
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.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 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x)
(-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(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)
#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 1/6 binary64)
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))))
#s(approx (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* -1/36 x)))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* x (- (* 1/32400 (pow x 4)) 1/36))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* x (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 -1/36))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (- (* 1/32400 (pow x 4)) 1/36)))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)))
#s(approx (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) #s(hole binary64 (* 1/32400 (pow x 4))))
#s(approx (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2))))))
#s(approx (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) #s(hole binary64 (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))))
#s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) x) #s(hole binary64 (* -1/180 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* -1/180 x)))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* x (- (* 1/2835 (pow x 2)) 1/180))))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 -1/180))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 (- (* 1/2835 (pow x 2)) 1/180)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) #s(hole binary64 (- (* -1/180 (pow x 2)) 1/6)))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) #s(hole binary64 (- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))))
#s(approx (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) #s(hole binary64 (* 1/2835 (pow x 6))))
#s(approx (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) #s(hole binary64 (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) x) #s(hole binary64 (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* 1/2835 (pow x 5))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* 1/8037225 (pow x 9))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (* 1/8037225 (pow x 8))))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) #s(hole binary64 (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))))
#s(approx (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) #s(hole binary64 (* 1/8037225 (pow x 8))))
#s(approx (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) #s(hole binary64 (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) #s(hole binary64 (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) x) #s(hole binary64 (* 1/2835 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) x) #s(hole binary64 (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* 1/2835 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 (* 1/2835 (pow x 2))))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) #s(hole binary64 (* 1/2835 (pow x 4))))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) #s(hole binary64 (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225)))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) #s(hole binary64 (* -1 (* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))))
Outputs
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#s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64)))
#s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64) #s(literal 1/2835 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2835 binary64)))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64) #s(literal 1/2835 binary64))))
#s(approx (+ (* (* x x) 1/2835) -1/180) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
#s(approx (+ (* (* x x) 1/2835) -1/180) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64) #s(literal 1/2835 binary64)) x) x))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64)))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/180 binary64) #s(literal 1/2835 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6) (*.f64 (-.f64 #s(literal 1/2835 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/180 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (log (/ (sinh x) x)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/180 binary64)) #s(literal 1/2835 binary64))))
#s(approx (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/180 binary64)) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/255150 binary64) #s(literal -1/8037225 binary64))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 9 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/255150 binary64) #s(literal -1/8037225 binary64)) (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 1/36 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/255150 binary64) #s(literal -1/8037225 binary64)) (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/180 binary64)) #s(literal 1/2835 binary64))) (pow.f64 x #s(literal 3 binary64))))

eval56.0ms (0.4%)

Memory
-9.0MiB live, 38.0MiB allocated; 1ms collecting garbage
Compiler

Compiled 18 006 to 2 317 computations (87.1% saved)

prune3.3s (26%)

Memory
1.5MiB live, 1 010.8MiB allocated; 32ms collecting garbage
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New4294433
Fresh325
Picked011
Done011
Total4328440
Accuracy
97.6%
Counts
440 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(log.f64 (/.f64 (sinh.f64 x) x))
51.3%
(log.f64 (/.f64 #s(approx (sinh x) (*.f64 (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))
96.9%
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
96.8%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) 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))))
96.9%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 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))) x)))
96.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) 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)) #s(literal 1/36 binary64))) x))
96.9%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.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))) x))
96.7%
#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))
Compiler

Compiled 422 to 246 computations (41.7% saved)

series21.0ms (0.2%)

Memory
-31.6MiB live, 16.2MiB allocated; 0ms collecting garbage
Counts
18 → 62
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 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))) x)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 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))) 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)
(*.f64 (/.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))) 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 (*.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 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
#s(literal -1/6 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 -1/36))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (- (* 1/32400 (pow x 4)) 1/36)))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(hole binary64 1/32400))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(hole binary64 (+ 1/32400 (* -1/255150 (pow x 2)))))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(hole binary64 (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 -1/180))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 (- (* 1/2835 (pow x 2)) 1/180)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (* -6 (pow x 2))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (* (pow x 2) (- (* 1/5 (pow x 2)) 6))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -61/3150 (pow x 2)))) 6))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 101/94500 (pow x 2)) 61/3150)))) 6))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (* -6 x)))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (* x (- (* 1/5 (pow x 2)) 6))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/5 (* -61/3150 (pow x 2)))) 6))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 101/94500 (pow x 2)) 61/3150)))) 6))))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(hole binary64 (- (* -1/180 (pow x 2)) 1/6)))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(hole binary64 (- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* -1/180 x)))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* x (- (* 1/2835 (pow x 2)) 1/180))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) #s(hole binary64 (* 1/2835 (pow x 6))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) #s(hole binary64 (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) #s(hole binary64 (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (* 1/8037225 (pow x 8))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(hole binary64 (* 1/8037225 (pow x 4))))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(hole binary64 (* (pow x 4) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(hole binary64 (* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 (* 1/2835 (pow x 2))))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (/ 2835 (pow x 2))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (/ (+ 2835 (+ (* 178605/4 (/ 1 (pow x 2))) (/ 32684715/16 (pow x 4)))) (pow x 2))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (/ (+ 2835 (+ (* 178605/4 (/ 1 (pow x 2))) (+ (* 3409390845/64 (/ 1 (pow x 6))) (/ 32684715/16 (pow x 4))))) (pow x 2))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (/ 2835 (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (/ (+ 2835 (+ (* 178605/4 (/ 1 (pow x 2))) (/ 32684715/16 (pow x 4)))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (/ (+ 2835 (+ (* 178605/4 (/ 1 (pow x 2))) (+ (* 3409390845/64 (/ 1 (pow x 6))) (/ 32684715/16 (pow x 4))))) (pow x 3))))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(hole binary64 (* 1/2835 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(hole binary64 (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(hole binary64 (* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* 1/2835 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 178605/4 (* 32684715/16 (/ 1 (pow x 2)))) (pow x 2))) 2835) (pow x 3)))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 32684715/16 (* 3409390845/64 (/ 1 (pow x 2)))) (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((log (/ (sinh x) x)) (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (pow (+ (* (* x x) 1/2835) -1/180) 2) (+ (* (* x x) 1/2835) -1/180) (* x x) x 1/2835 -1/180 2 (pow x 4) 4 -1/36 (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) (* (+ (* (* x x) 1/2835) -1/180) x) -1/6)
9.0ms
x
@inf
((log (/ (sinh x) x)) (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (pow (+ (* (* x x) 1/2835) -1/180) 2) (+ (* (* x x) 1/2835) -1/180) (* x x) x 1/2835 -1/180 2 (pow x 4) 4 -1/36 (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) (* (+ (* (* x x) 1/2835) -1/180) x) -1/6)
2.0ms
x
@0
((log (/ (sinh x) x)) (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (pow (+ (* (* x x) 1/2835) -1/180) 2) (+ (* (* x x) 1/2835) -1/180) (* x x) x 1/2835 -1/180 2 (pow x 4) 4 -1/36 (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) (* (+ (* (* x x) 1/2835) -1/180) x) -1/6)

rewrite145.0ms (1.1%)

Memory
2.4MiB live, 47.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02601698
02811640
112071627
082041593
Stop Event
iter limit
node limit
iter limit
Counts
80 → 225
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 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))) x)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 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))) 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)
(*.f64 (/.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))) 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 (*.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 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
#s(literal -1/6 binary64)
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 -1/36))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (- (* 1/32400 (pow x 4)) 1/36)))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(hole binary64 1/32400))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(hole binary64 (+ 1/32400 (* -1/255150 (pow x 2)))))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(hole binary64 (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 -1/180))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 (- (* 1/2835 (pow x 2)) 1/180)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (* -6 (pow x 2))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (* (pow x 2) (- (* 1/5 (pow x 2)) 6))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -61/3150 (pow x 2)))) 6))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 101/94500 (pow x 2)) 61/3150)))) 6))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (* -6 x)))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (* x (- (* 1/5 (pow x 2)) 6))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/5 (* -61/3150 (pow x 2)))) 6))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 101/94500 (pow x 2)) 61/3150)))) 6))))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(hole binary64 (- (* -1/180 (pow x 2)) 1/6)))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(hole binary64 (- (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) 1/6)))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* -1/180 x)))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* x (- (* 1/2835 (pow x 2)) 1/180))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) #s(hole binary64 (* 1/2835 (pow x 6))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) #s(hole binary64 (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) #s(hole binary64 (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (* 1/8037225 (pow x 8))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(hole binary64 (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(hole binary64 (* 1/8037225 (pow x 4))))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(hole binary64 (* (pow x 4) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(hole binary64 (* (pow x 4) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 (* 1/2835 (pow x 2))))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(hole binary64 (* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (/ 2835 (pow x 2))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (/ (+ 2835 (+ (* 178605/4 (/ 1 (pow x 2))) (/ 32684715/16 (pow x 4)))) (pow x 2))))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) #s(hole binary64 (/ (+ 2835 (+ (* 178605/4 (/ 1 (pow x 2))) (+ (* 3409390845/64 (/ 1 (pow x 6))) (/ 32684715/16 (pow x 4))))) (pow x 2))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (/ 2835 (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (/ (+ 2835 (+ (* 178605/4 (/ 1 (pow x 2))) (/ 32684715/16 (pow x 4)))) (pow x 3))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (/ (+ 2835 (+ (* 178605/4 (/ 1 (pow x 2))) (+ (* 3409390845/64 (/ 1 (pow x 6))) (/ 32684715/16 (pow x 4))))) (pow x 3))))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(hole binary64 (* 1/2835 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(hole binary64 (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(hole binary64 (* (pow x 4) (+ 1/2835 (* -1 (/ (+ 1/180 (* 1/6 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* 1/2835 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))))
#s(approx (log (/ (sinh x) x)) #s(hole binary64 (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 178605/4 (* 32684715/16 (/ 1 (pow x 2)))) (pow x 2))) 2835) (pow x 3)))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 32684715/16 (* 3409390845/64 (/ 1 (pow x 2)))) (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 3)))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (/.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))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64))))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 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)))) x)
(*.f64 (*.f64 (/.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))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.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))) x))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/1296 binary64))) (*.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)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))) #s(literal -1/36 binary64))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/46656 binary64))) (*.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)) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/1296 binary64)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 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 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/36 binary64) (*.f64 (pow.f64 x #s(literal 4 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 (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 (/.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))) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (/.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))) x) #s(literal -1/36 binary64)))
(fma.f64 (*.f64 (/.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))) x) #s(literal -1/36 binary64) (*.f64 (*.f64 (/.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))) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)))))
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#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) (*.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)) (*.f64 x x)))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) #s(literal -1/36 binary64))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -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)))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -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)))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) #s(literal 1/32400 binary64))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) (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)))
#s(approx (+ (* (* x x) 1/2835) -1/180) #s(literal -1/180 binary64))
#s(approx (+ (* (* x x) 1/2835) -1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) (*.f64 #s(literal -6 binary64) (*.f64 x x)))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) (*.f64 (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x)))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x)))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 101/94500 binary64) (*.f64 x x)) #s(literal 61/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x)))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (*.f64 #s(literal -6 binary64) x))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (*.f64 (-.f64 (*.f64 #s(literal 1/5 binary64) (*.f64 x x)) #s(literal 6 binary64)) x))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -61/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 6 binary64)) x))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 101/94500 binary64) (*.f64 x x)) #s(literal 61/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 6 binary64)) x))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) (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(approx (* (+ (* (* x x) 1/2835) -1/180) x) (*.f64 #s(literal -1/180 binary64) x))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
#s(approx (log (/ (sinh x) x)) (fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64)))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/2835 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/180 binary64)))))
#s(approx (* (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/180 binary64)))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/8037225 binary64)))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (*.f64 (-.f64 #s(literal 1/8037225 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/255150 binary64))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8037225 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/255150 binary64))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (pow (+ (* (* x x) 1/2835) -1/180) 2) (pow x 4)) -1/36) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8037225 binary64)) (fma.f64 (pow.f64 x #s(literal -8 binary64)) #s(literal 1/36 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/255150 binary64)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) (*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) (*.f64 (-.f64 #s(literal 1/8037225 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/255150 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (pow (+ (* (* x x) 1/2835) -1/180) 2) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8037225 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/255150 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/2835) -1/180) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
#s(approx (+ (* (* x x) 1/2835) -1/180) (*.f64 (-.f64 #s(literal 1/2835 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/180 binary64))) (*.f64 x x)))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) (/.f64 #s(literal 2835 binary64) (*.f64 x x)))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) (/.f64 (fma.f64 #s(literal 178605/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2835 binary64)) (*.f64 x x)))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) (/.f64 (+.f64 (fma.f64 #s(literal 178605/4 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 32684715/16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2835 binary64)) (*.f64 x x)))
#s(approx (* (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) x) (/.f64 (+.f64 (fma.f64 #s(literal 178605/4 binary64) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 3409390845/64 binary64) (/.f64 #s(literal 32684715/16 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2835 binary64)) (*.f64 x x)))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (/.f64 #s(literal 2835 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (/.f64 (fma.f64 #s(literal 178605/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2835 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (/.f64 (+.f64 (fma.f64 #s(literal 178605/4 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 32684715/16 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2835 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (/.f64 (+.f64 (fma.f64 #s(literal 178605/4 binary64) (pow.f64 x #s(literal -2 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 3409390845/64 binary64) (/.f64 #s(literal 32684715/16 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2835 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64)))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) (*.f64 (-.f64 #s(literal 1/2835 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/180 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6) (*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal 1/180 binary64)) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2835 binary64)))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/2835 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/180 binary64)))))
#s(approx (log (/ (sinh x) x)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -32684715/16 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -178605/4 binary64)) (*.f64 x x)) #s(literal 2835 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (/ x (+ (* (* (+ (* (* x x) 1/2835) -1/180) x) x) -1/6)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -3409390845/64 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -32684715/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 178605/4 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2835 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
#s(approx (* (+ (* (* x x) 1/2835) -1/180) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/180 binary64)) #s(literal 1/2835 binary64))))

eval34.0ms (0.3%)

Memory
25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 12 586 to 1 493 computations (88.1% saved)

prune1.2s (9.5%)

Memory
-22.9MiB live, 409.2MiB allocated; 10ms collecting garbage
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2871288
Fresh145
Picked101
Done022
Total2897296
Accuracy
97.6%
Counts
296 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(log.f64 (/.f64 (sinh.f64 x) x))
51.3%
(log.f64 (/.f64 #s(approx (sinh x) (*.f64 (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))
96.8%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) 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))))
96.9%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1/216 binary64) (*.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)))) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)))))) x)))
96.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) 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)) #s(literal 1/36 binary64))) x))
96.9%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) x) (-.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))) x))
96.7%
#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))
Compiler

Compiled 722 to 398 computations (44.9% saved)

derivations22.0ms (0.2%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 37 to 20 computations (45.9% saved)

preprocess13.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Remove

(abs x)

Compiler

Compiled 158 to 88 computations (44.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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