bug500, discussion (missed optimization)

Time bar (total: 7.7s)

start0.0ms (0%)

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

analyze152.0ms (2%)

Memory
-7.9MiB live, 145.3MiB allocated; 47ms 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)

sample6.6s (85.5%)

Memory
68.4MiB live, 8 101.1MiB allocated; 1.9s collecting garbage
Samples
2.8s7 880×5exit
2.6s5 743×2valid
342.0ms2 262×1valid
13.0ms251×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.9s
ival-log: 1.8s (36.4% of total)
adjust: 1.3s (27.4% of total)
ival-sinh: 1.3s (26.7% of total)
ival-div!: 459.0ms (9.4% of total)
Bogosity

preprocess20.0ms (0.3%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0918
12018
25816
318116
4116716
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(log.f64 (/.f64 (sinh.f64 x) x))
Symmetry

(abs x)

Compiler

Compiled 8 to 8 computations (0% saved)

series60.0ms (0.8%)

Memory
13.8MiB live, 59.4MiB allocated; 4ms 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
34.0ms
x
@inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x) x)
24.0ms
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)

rewrite133.0ms (1.7%)

Memory
-17.8MiB live, 79.1MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082283
086277
1434268
03719250
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
21 → 39
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)))))
(neg.f64 (-.f64 (log.f64 x) (log.f64 (sinh.f64 x))))
(-.f64 (log.f64 (sinh.f64 (neg.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 (sinh.f64 x) 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) (neg.f64 (neg.f64 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 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(sinh.f64 x)
(neg.f64 (sinh.f64 (neg.f64 x)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (neg.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 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal 1/6 binary64)) 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 (*.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)) 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 (*.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)) x) x #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (log (/ (sinh x) x)) (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
#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 -1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 #s(literal -1 binary64) x))))

eval4.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 292 to 173 computations (40.8% saved)

prune4.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30636
Fresh000
Picked011
Done000
Total30737
Accuracy
99.5%
Counts
37 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(log.f64 (/.f64 (sinh.f64 x) x))
54.9%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
55.0%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))))
54.9%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
54.7%
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64)))
99.1%
#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))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 126 to 122 computations (3.2% saved)

series22.0ms (0.3%)

Memory
-17.4MiB live, 28.2MiB allocated; 3ms collecting garbage
Counts
21 → 41
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64)))
#s(approx (/ (sinh x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
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 (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/180 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#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 (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (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 (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* -1/180 (pow x 4))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* -1/180 (pow x 3))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 (* -1/180 (pow x 2))))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (/ (sinh x) x) #s(hole binary64 (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/120 (* 1/6 (/ 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 (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) -1/180 (* x x) x 1/6 (log (/ (sinh x) x)) (/ (sinh x) x) 1 (log (/ (sinh x) x)) (* (* x x) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) 1/120)
9.0ms
x
@inf
((log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) -1/180 (* x x) x 1/6 (log (/ (sinh x) x)) (/ (sinh x) x) 1 (log (/ (sinh x) x)) (* (* x x) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) 1/120)
2.0ms
x
@0
((log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) -1/180 (* x x) x 1/6 (log (/ (sinh x) x)) (/ (sinh x) x) 1 (log (/ (sinh x) x)) (* (* x x) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) 1/120)

rewrite208.0ms (2.7%)

Memory
20.5MiB live, 117.1MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153833
0175776
1736767
05791759
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
62 → 416
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64)))
#s(approx (/ (sinh x) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#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 (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/180 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#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 (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (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 (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* -1/180 (pow x 4))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* -1/180 (pow x 3))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 (* -1/180 (pow x 2))))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (/ (sinh x) x) #s(hole binary64 (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* 1/120 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/120 (* 1/6 (/ 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 (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x))
(/.f64 (*.f64 (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64)) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/180 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64) #s(literal -1/5832000 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64)) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/216 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/32400 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/180 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/216 binary64) #s(literal -1/5832000 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/1080 binary64) (*.f64 x x)) #s(literal 1/32400 binary64)) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x)))))
(neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(neg.f64 (*.f64 (-.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #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 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(fma.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) x) #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 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) (*.f64 x x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) (*.f64 x x))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x x) x)))
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#s(approx (log (/ (sinh x) x)) (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) x))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x))
#s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))
#s(approx (+ (* -1/180 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
#s(approx (/ (sinh x) x) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (-.f64 #s(literal 1/120 binary64) (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (log.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 #s(literal -1 binary64) x))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x))

eval43.0ms (0.6%)

Memory
4.5MiB live, 52.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 4 345 to 1 795 computations (58.7% saved)

prune20.0ms (0.3%)

Memory
-21.4MiB live, 25.5MiB allocated; 2ms collecting garbage
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New45412466
Fresh011
Picked145
Done011
Total45518473
Accuracy
99.6%
Counts
473 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(log.f64 (/.f64 (sinh.f64 x) x))
55.0%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))))
54.9%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
1.9%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x))))
1.6%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))))
1.9%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
54.7%
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64)))
99.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
27.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))
99.1%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) x))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) x))
23.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/180 binary64))) x))
99.1%
#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))
46.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
45.9%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) (*.f64 x x)) x))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 494 to 454 computations (8.1% saved)

series29.0ms (0.4%)

Memory
36.2MiB live, 36.2MiB allocated; 0ms collecting garbage
Counts
34 → 85
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))
(fma.f64 (*.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)) x) x #s(literal 1 binary64))
(*.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)) x)
(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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/180 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 (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/180 (pow x 2)))))
#s(approx x #s(hole binary64 x))
#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 (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (* (* (* x x) x) x) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (* (* x x) x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 4))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* 1/120 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow x 2)))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow x 2)))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* 1/6 x)))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* 1/6 (sqrt (/ 1 x)))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (/ (+ (* -1/180 (sqrt (pow x 5))) (* 1/6 (sqrt x))) x)))
#s(approx (- (/ 1/6 (* x x)) 1/180) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (- (/ 1/6 (* x x)) 1/180) #s(hole binary64 (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))))
#s(approx (/ 1/6 (* x x)) #s(hole binary64 (/ 1/6 (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 (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* -1/180 (pow x 4))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* -1/180 (pow x 3))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 (* -1/180 (pow x 2))))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (/ (sinh x) x) #s(hole binary64 (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* 1/5040 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/5040 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* 1/5040 (pow x 4))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 (* 1/5040 (pow x 2))))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* -1/180 (pow x 4))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* -1/180 (pow x 3))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* -1/180 (sqrt (pow x 3)))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* (pow x 2) (+ (* -1/180 (sqrt (/ 1 x))) (* 1/6 (sqrt (/ 1 (pow x 5))))))))
#s(approx (- (/ 1/6 (* x x)) 1/180) #s(hole binary64 -1/180))
#s(approx (- (/ 1/6 (* x x)) 1/180) #s(hole binary64 (- (* 1/6 (/ 1 (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 (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* 1/180 (* (pow x 4) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* (pow x 4) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/180 (pow (sqrt -1) 2))))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* 1/180 (* (pow x 3) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/180 (pow (sqrt -1) 2)) (* 1/6 (/ (pow (sqrt -1) 2) (pow x 2))))))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* -1/180 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* (pow x 2) (+ (* -1/180 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
((log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) 1/6 x (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (/ (* (* (* (* x x) x) x) 1/6) (* x x)) (* (* (* (* x x) x) x) 1/6) (* (* (* x x) x) x) (* (* x x) x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 1/120 1 (log (/ (sinh x) x)) (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) (pow x 3/2) 3/2 (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (- (/ 1/6 (* x x)) 1/180) (/ 1/6 (* x x)) 1/180)
11.0ms
x
@inf
((log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) 1/6 x (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (/ (* (* (* (* x x) x) x) 1/6) (* x x)) (* (* (* (* x x) x) x) 1/6) (* (* (* x x) x) x) (* (* x x) x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 1/120 1 (log (/ (sinh x) x)) (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) (pow x 3/2) 3/2 (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (- (/ 1/6 (* x x)) 1/180) (/ 1/6 (* x x)) 1/180)
4.0ms
x
@0
((log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) 1/6 x (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (/ (* (* (* (* x x) x) x) 1/6) (* x x)) (* (* (* (* x x) x) x) 1/6) (* (* (* x x) x) x) (* (* x x) x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (+ (* 1/5040 (* x x)) 1/120) 1/5040 1/120 1 (log (/ (sinh x) x)) (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) (pow x 3/2) 3/2 (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (- (/ 1/6 (* x x)) 1/180) (/ 1/6 (* x x)) 1/180)

rewrite93.0ms (1.2%)

Memory
-41.2MiB live, 54.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02902089
03311894
013441803
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
119 → 205
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.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)) x) x #s(literal 1 binary64)))
(fma.f64 (*.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)) x) x #s(literal 1 binary64))
(*.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)) x)
(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))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/180 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 (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/180 (pow x 2)))))
#s(approx x #s(hole binary64 x))
#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 (+ (* (* x x) 1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (* (* (* (* x x) x) x) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (* (* x x) x) x) 1/6) #s(hole binary64 (* 1/6 (pow x 4))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* 1/120 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow x 2)))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 (+ 1/120 (* 1/5040 (pow x 2)))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* 1/6 x)))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* 1/6 (sqrt (/ 1 x)))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (/ (+ (* -1/180 (sqrt (pow x 5))) (* 1/6 (sqrt x))) x)))
#s(approx (- (/ 1/6 (* x x)) 1/180) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (- (/ 1/6 (* x x)) 1/180) #s(hole binary64 (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))))
#s(approx (/ 1/6 (* x x)) #s(hole binary64 (/ 1/6 (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 (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* -1/180 (pow x 4))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* -1/180 (pow x 3))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 (* -1/180 (pow x 2))))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (/ (sinh x) x) #s(hole binary64 (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) 1) #s(hole binary64 (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* 1/5040 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* 1/5040 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* 1/5040 (pow x 4))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 (* 1/5040 (pow x 2))))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(hole binary64 (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* -1/180 (pow x 4))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* -1/180 (pow x 3))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* -1/180 (sqrt (pow x 3)))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* (pow x 2) (+ (* -1/180 (sqrt (/ 1 x))) (* 1/6 (sqrt (/ 1 (pow x 5))))))))
#s(approx (- (/ 1/6 (* x x)) 1/180) #s(hole binary64 -1/180))
#s(approx (- (/ 1/6 (* x x)) 1/180) #s(hole binary64 (- (* 1/6 (/ 1 (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 (* (+ (* -1/180 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* 1/180 (* (pow x 4) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* (pow x 4) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/180 (pow (sqrt -1) 2))))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* 1/180 (* (pow x 3) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/180 (pow (sqrt -1) 2)) (* 1/6 (/ (pow (sqrt -1) 2) (pow x 2))))))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* -1/180 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* (pow x 2) (+ (* -1/180 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 x (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x))
(*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x)
(*.f64 x #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)))
#s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 x x)))
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#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* 1/5040 (* x x)) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* 1/5040 (* x x)) 1/120) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x))
#s(approx (pow x 3/2) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/6 binary64)))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x))
#s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(approx (- (/ 1/6 (* x x)) 1/180) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ 1/6 (* x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (log.f64 (*.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/180 binary64)))
#s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))
#s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x)))
#s(approx (/ (sinh x) x) (*.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) 1/6) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/5040 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 1/5040 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/5040 binary64)))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/5040 binary64)))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 1/5040 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (+ (* 1/5040 (* x x)) 1/120) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
#s(approx (+ (* 1/5040 (* x x)) 1/120) (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (*.f64 x x)))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/180 binary64)))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/180 binary64)))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/180 binary64)))))
#s(approx (- (/ 1/6 (* x x)) 1/180) #s(literal -1/180 binary64))
#s(approx (- (/ 1/6 (* x x)) 1/180) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
#s(approx (log (/ (sinh x) x)) (log.f64 (*.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (neg.f64 (*.f64 (-.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
#s(approx (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x))) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/180 binary64)))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) (*.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) (neg.f64 (*.f64 (-.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) x))))
#s(approx (pow x 3/2) (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/180 binary64)))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/180 binary64))) (*.f64 x x)))

eval19.0ms (0.3%)

Memory
25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 443 to 1 152 computations (52.8% saved)

prune16.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New2256231
Fresh178
Picked145
Done055
Total22722249
Accuracy
99.6%
Counts
249 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(log.f64 (/.f64 (sinh.f64 x) x))
55.0%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))))
54.9%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
1.9%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x))))
1.6%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))))
1.5%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/5040 binary64)))))
1.9%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
54.7%
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64)))
99.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
27.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
27.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))
27.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
99.1%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) x))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) x))
77.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 #s(literal 1/6 binary64) x)))
99.1%
#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))
99.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x))) x))
99.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/6 binary64)))) x))
45.9%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) (*.f64 x x)) x))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 583 to 543 computations (6.9% saved)

series36.0ms (0.5%)

Memory
-3.4MiB live, 43.3MiB allocated; 2ms collecting garbage
Counts
39 → 86
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/180 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x))) x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x))) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x)))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x)
(fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64)))
(sqrt.f64 x)
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))
(pow.f64 x #s(literal 5/2 binary64))
#s(literal 5/2 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 (* (+ (* (* (* x x) x) -1/180) (* 1/6 x)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* (* x x) x) -1/180) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) -1/180) (* 1/6 x)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* (* x x) x) -1/180) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#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 (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (* (* (* (* x x) 1/120) x) x) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (* (* (* x x) 1/120) x) #s(hole binary64 (* 1/120 (pow x 3))))
#s(approx (* (* x x) 1/120) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 1/120) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 1/120) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/120) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (* x x) 1/120) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* 1/120 (pow x 2))))))
#s(approx (+ (* (* x x) 1/120) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* x x) 1/120) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow x 2)))))
#s(approx (/ (* (pow x 4) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow x 4) 1/6) #s(hole binary64 (* 1/6 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* 1/6 x)))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* 1/6 (sqrt (/ 1 x)))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (/ (+ (* -1/180 (sqrt (pow x 5))) (* 1/6 (sqrt x))) x)))
#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) #s(hole binary64 (* 1/6 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) #s(hole binary64 (/ (+ (* -1/180 (sqrt (pow x 5))) (* 1/6 (sqrt x))) x)))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) #s(hole binary64 (* 1/6 (sqrt x))))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) #s(hole binary64 (+ (* -1/180 (sqrt (pow x 5))) (* 1/6 (sqrt x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (pow x 5/2) -1/180) #s(hole binary64 (* -1/180 (sqrt (pow x 5)))))
#s(approx (pow x 5/2) #s(hole binary64 (sqrt (pow x 5))))
#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) -1/180) (* 1/6 x)) x) #s(hole binary64 (* -1/180 (pow x 4))))
#s(approx (* (+ (* (* (* x x) x) -1/180) (* 1/6 x)) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (+ (* (* (* x x) x) -1/180) (* 1/6 x)) #s(hole binary64 (* -1/180 (pow x 3))))
#s(approx (+ (* (* (* x x) x) -1/180) (* 1/6 x)) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (/ (sinh x) x) #s(hole binary64 (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (* (+ (* (* x x) 1/120) 1/6) x) x) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/120) 1/6) x) x) #s(hole binary64 (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/120) 1/6) x) #s(hole binary64 (* 1/120 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/120) 1/6) x) #s(hole binary64 (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/120) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* (* x x) 1/120) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* -1/180 (pow x 4))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* -1/180 (pow x 3))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* -1/180 (sqrt (pow x 3)))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* (pow x 2) (+ (* -1/180 (sqrt (/ 1 x))) (* 1/6 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) #s(hole binary64 (* -1/180 (sqrt (pow x 3)))))
#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) #s(hole binary64 (* (pow x 2) (+ (* -1/180 (sqrt (/ 1 x))) (* 1/6 (sqrt (/ 1 (pow x 5))))))))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) #s(hole binary64 (* -1/180 (sqrt (pow x 5)))))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) #s(hole binary64 (* (pow x 3) (+ (* -1/180 (sqrt (/ 1 x))) (* 1/6 (sqrt (/ 1 (pow x 5))))))))
#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) -1/180) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* 1/180 (* (pow x 4) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* (pow x 4) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/180 (pow (sqrt -1) 2))))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* 1/180 (* (pow x 3) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/180 (pow (sqrt -1) 2)) (* 1/6 (/ (pow (sqrt -1) 2) (pow x 2))))))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* -1/180 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* (pow x 2) (+ (* -1/180 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) #s(hole binary64 (* 1/180 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) #s(hole binary64 (* (pow x 2) (+ (* -1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/180 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) #s(hole binary64 (* 1/180 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/180 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 5/2) -1/180) #s(hole binary64 (* 1/180 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (pow x 5/2) #s(hole binary64 (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
Calls

3 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
((log (/ (sinh x) x)) (* (+ (* (* (* x x) x) -1/180) (* 1/6 x)) x) (+ (* (* (* x x) x) -1/180) (* 1/6 x)) (* (* x x) x) (* x x) x -1/180 (* 1/6 x) 1/6 (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (* (* x x) 1/120) x) x) (* (* (* x x) 1/120) x) (* (* x x) 1/120) 1/120 (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (+ (* (* x x) 1/120) 1/6) x) x) (* (+ (* (* x x) 1/120) 1/6) x) (+ (* (* x x) 1/120) 1/6) (log (/ (sinh x) x)) (/ (* (pow x 4) 1/6) (* x x)) (* (pow x 4) 1/6) (pow x 4) 4 (log (/ (sinh x) x)) (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) (pow x 3/2) 3/2 (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) (sqrt x) (* (pow x 5/2) -1/180) (pow x 5/2) 5/2)
13.0ms
x
@inf
((log (/ (sinh x) x)) (* (+ (* (* (* x x) x) -1/180) (* 1/6 x)) x) (+ (* (* (* x x) x) -1/180) (* 1/6 x)) (* (* x x) x) (* x x) x -1/180 (* 1/6 x) 1/6 (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (* (* x x) 1/120) x) x) (* (* (* x x) 1/120) x) (* (* x x) 1/120) 1/120 (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (+ (* (* x x) 1/120) 1/6) x) x) (* (+ (* (* x x) 1/120) 1/6) x) (+ (* (* x x) 1/120) 1/6) (log (/ (sinh x) x)) (/ (* (pow x 4) 1/6) (* x x)) (* (pow x 4) 1/6) (pow x 4) 4 (log (/ (sinh x) x)) (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) (pow x 3/2) 3/2 (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) (sqrt x) (* (pow x 5/2) -1/180) (pow x 5/2) 5/2)
5.0ms
x
@0
((log (/ (sinh x) x)) (* (+ (* (* (* x x) x) -1/180) (* 1/6 x)) x) (+ (* (* (* x x) x) -1/180) (* 1/6 x)) (* (* x x) x) (* x x) x -1/180 (* 1/6 x) 1/6 (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (* (* x x) 1/120) x) x) (* (* (* x x) 1/120) x) (* (* x x) 1/120) 1/120 (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (+ (* (* x x) 1/120) 1/6) x) x) (* (+ (* (* x x) 1/120) 1/6) x) (+ (* (* x x) 1/120) 1/6) (log (/ (sinh x) x)) (/ (* (pow x 4) 1/6) (* x x)) (* (pow x 4) 1/6) (pow x 4) 4 (log (/ (sinh x) x)) (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) (pow x 3/2) 3/2 (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) (sqrt x) (* (pow x 5/2) -1/180) (pow x 5/2) 5/2)

rewrite54.0ms (0.7%)

Memory
-21.5MiB live, 24.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02912143
03341923
012771856
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
125 → 209
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/180 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x))) x))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x))) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x)))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x)
(fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64)))
(sqrt.f64 x)
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))
(pow.f64 x #s(literal 5/2 binary64))
#s(literal 5/2 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 (* (+ (* (* (* x x) x) -1/180) (* 1/6 x)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* (* x x) x) -1/180) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) -1/180) (* 1/6 x)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* (* x x) x) -1/180) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#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 (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/6 (pow x 2)))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))))
#s(approx (* (* (* (* x x) 1/120) x) x) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (* (* (* x x) 1/120) x) #s(hole binary64 (* 1/120 (pow x 3))))
#s(approx (* (* x x) 1/120) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 1/120) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (* x x) 1/120) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
#s(approx (* (+ (* (* x x) 1/120) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (* x x) 1/120) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* 1/120 (pow x 2))))))
#s(approx (+ (* (* x x) 1/120) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* x x) 1/120) 1/6) #s(hole binary64 (+ 1/6 (* 1/120 (pow x 2)))))
#s(approx (/ (* (pow x 4) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (pow x 4) 1/6) #s(hole binary64 (* 1/6 (pow x 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* 1/6 x)))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* x (+ 1/6 (* -1/180 (pow x 2))))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* 1/6 (sqrt (/ 1 x)))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (/ (+ (* -1/180 (sqrt (pow x 5))) (* 1/6 (sqrt x))) x)))
#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) #s(hole binary64 (* 1/6 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) #s(hole binary64 (/ (+ (* -1/180 (sqrt (pow x 5))) (* 1/6 (sqrt x))) x)))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) #s(hole binary64 (* 1/6 (sqrt x))))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) #s(hole binary64 (+ (* -1/180 (sqrt (pow x 5))) (* 1/6 (sqrt x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (pow x 5/2) -1/180) #s(hole binary64 (* -1/180 (sqrt (pow x 5)))))
#s(approx (pow x 5/2) #s(hole binary64 (sqrt (pow x 5))))
#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) -1/180) (* 1/6 x)) x) #s(hole binary64 (* -1/180 (pow x 4))))
#s(approx (* (+ (* (* (* x x) x) -1/180) (* 1/6 x)) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (+ (* (* (* x x) x) -1/180) (* 1/6 x)) #s(hole binary64 (* -1/180 (pow x 3))))
#s(approx (+ (* (* (* x x) x) -1/180) (* 1/6 x)) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (/ (sinh x) x) #s(hole binary64 (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (* (* (+ (* (* x x) 1/120) 1/6) x) x) #s(hole binary64 (* 1/120 (pow x 4))))
#s(approx (* (* (+ (* (* x x) 1/120) 1/6) x) x) #s(hole binary64 (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/120) 1/6) x) #s(hole binary64 (* 1/120 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/120) 1/6) x) #s(hole binary64 (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/120) 1/6) #s(hole binary64 (* 1/120 (pow x 2))))
#s(approx (+ (* (* x x) 1/120) 1/6) #s(hole binary64 (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* -1/180 (pow x 4))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* -1/180 (pow x 3))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* -1/180 (sqrt (pow x 3)))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* (pow x 2) (+ (* -1/180 (sqrt (/ 1 x))) (* 1/6 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) #s(hole binary64 (* -1/180 (sqrt (pow x 3)))))
#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) #s(hole binary64 (* (pow x 2) (+ (* -1/180 (sqrt (/ 1 x))) (* 1/6 (sqrt (/ 1 (pow x 5))))))))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) #s(hole binary64 (* -1/180 (sqrt (pow x 5)))))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) #s(hole binary64 (* (pow x 3) (+ (* -1/180 (sqrt (/ 1 x))) (* 1/6 (sqrt (/ 1 (pow x 5))))))))
#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) -1/180) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* 1/180 (* (pow x 4) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) x) #s(hole binary64 (* (pow x 4) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/180 (pow (sqrt -1) 2))))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* 1/180 (* (pow x 3) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/180 (pow (sqrt -1) 2)) (* 1/6 (/ (pow (sqrt -1) 2) (pow x 2))))))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* -1/180 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) #s(hole binary64 (* (pow x 2) (+ (* -1/180 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) #s(hole binary64 (* 1/180 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) #s(hole binary64 (* (pow x 2) (+ (* -1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/180 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) #s(hole binary64 (* 1/180 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/180 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 5/2) -1/180) #s(hole binary64 (* 1/180 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (pow x 5/2) #s(hole binary64 (* -1 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 x (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) (*.f64 #s(literal 1/6 binary64) x)))))
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/180 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal -1/180 binary64)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x))
(*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) x))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(*.f64 (*.f64 #s(literal 1/120 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/120 binary64)))
#s(literal 1/120 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x))
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(/.f64 (+.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6 binary64)) x) x)
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
#s(literal 4 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) x)) (sqrt.f64 (*.f64 (*.f64 x x) x))) x))
(*.f64 (*.f64 #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) x)) (sqrt.f64 (*.f64 (*.f64 x x) x))) x)
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#s(approx (* x x) (*.f64 x x))
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#s(approx (/ (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) x) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/180 binary64))) (*.f64 x x)))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) (*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/180 binary64)))
#s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/180 binary64))) (*.f64 (*.f64 x x) x))))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (* (pow x 5/2) -1/180) (*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/180 binary64)))
#s(approx (pow x 5/2) (neg.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64))))

eval18.0ms (0.2%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 225 to 1 125 computations (49.4% saved)

prune18.0ms (0.2%)

Memory
-16.9MiB live, 28.1MiB allocated; 3ms collecting garbage
Pruning

22 alts after pruning (9 fresh and 13 done)

PrunedKeptTotal
New2061207
Fresh088
Picked145
Done099
Total20722229
Accuracy
99.6%
Counts
229 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(log.f64 (/.f64 (sinh.f64 x) x))
55.0%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))))
54.9%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
1.9%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x))))
1.6%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))))
1.5%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/5040 binary64)))))
1.9%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
54.7%
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64)))
99.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
27.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
27.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))
27.0%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
99.1%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) x))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) x))
77.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 #s(literal 1/6 binary64) x)))
99.1%
#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))
99.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 #s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) x))) x))
99.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/6 binary64)))) x))
45.9%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) (*.f64 x x)) x))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
99.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 612 to 498 computations (18.6% saved)

regimes27.0ms (0.3%)

Memory
-19.7MiB live, 27.7MiB allocated; 11ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) 1/6) 1) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/180 binary64) (*.f64 #s(literal 1/6 binary64) x)) x))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) x) x))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (/.f64 #s(literal 1/6 binary64) x)))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) x) x))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) (*.f64 x x)) x))
(log.f64 (/.f64 (sinh.f64 x) x))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/5040 binary64)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.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)) x) x #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 #s(approx (+ (* (sqrt x) 1/6) (* (pow x 5/2) -1/180)) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) x))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 x x) x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/180 binary64))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (* (pow x 3/2) (- (/ 1/6 (* x x)) 1/180)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1/180 binary64))) x))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Calls

3 calls:

7.0ms
x
5.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
5.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
99.1%1(/.f64 (sinh.f64 x) x)
99.1%1(log.f64 (/.f64 (sinh.f64 x) x))
99.1%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(log.f64 #s(approx (/ (sinh x) x) #s(literal 1 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Calls

3 calls:

1.0ms
x
1.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
99.1%1(/.f64 (sinh.f64 x) x)
99.1%1(log.f64 (/.f64 (sinh.f64 x) x))
99.1%1x
Compiler

Compiled 8 to 8 computations (0% saved)

regimes3.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
54.7%1(/.f64 (sinh.f64 x) x)
54.7%1(log.f64 (/.f64 (sinh.f64 x) x))
54.7%1x
Compiler

Compiled 8 to 8 computations (0% saved)

derivations112.0ms (1.5%)

Memory
-10.8MiB live, 34.3MiB allocated; 7ms collecting garbage
Stop Event
fuel
Compiler

Compiled 25 to 20 computations (20% saved)

preprocess18.0ms (0.2%)

Memory
31.2MiB live, 31.2MiB allocated; 0ms collecting garbage
Remove

(abs x)

Compiler

Compiled 85 to 80 computations (5.9% saved)

end0.0ms (0%)

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

Profiling

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