bug500, discussion (missed optimization)

Time bar (total: 12.0s)

start0.0ms (0%)

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

analyze115.0ms (1%)

Memory
-24.6MiB live, 216.4MiB allocated; 25ms 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)

sample7.9s (66%)

Memory
64.8MiB live, 8 710.1MiB allocated; 2.2s collecting garbage
Samples
3.5s7 880×5exit
2.9s5 719×2valid
398.0ms2 230×1valid
17.0ms307×0valid
Precisions
Click to see histograms. Total time spent on operations: 5.5s
ival-log: 2.9s (53.2% of total)
ival-sinh: 1.2s (21.9% of total)
adjust: 758.0ms (13.9% of total)
ival-div: 547.0ms (10% of total)
ival-true: 34.0ms (0.6% of total)
ival-assert: 19.0ms (0.3% of total)
Bogosity

explain214.0ms (1.8%)

Memory
21.9MiB live, 207.9MiB allocated; 37ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
126128(2.6485694886570413e-307)0-(log.f64 (/.f64 (sinh.f64 x) x))
00-0-(sinh.f64 x)
00-0-(/.f64 (sinh.f64 x) x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 (sinh.f64 x) x))sensitivity2530
log.f64(log.f64 (/.f64 (sinh.f64 x) x))oflow-rescue10
(sinh.f64 x)overflow1
(/.f64 (sinh.f64 x) x)overflow1
Confusion
Predicted +Predicted -
+1260
-1282
Precision
0.49606299212598426
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12600
-12802
Precision?
0.49606299212598426
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
154.0ms380×2valid
19.0ms122×1valid
1.0ms10×0valid
Compiler

Compiled 33 to 16 computations (51.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-log: 66.0ms (44.1% of total)
ival-sinh: 60.0ms (40.1% of total)
ival-div: 12.0ms (8% of total)
adjust: 10.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess193.0ms (1.6%)

Memory
-37.5MiB live, 95.4MiB allocated; 97ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
11415
24015
310415
450315
5375611
045
075
1135
2275
3665
42645
516425
638505
088245
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
Outputs
(log.f64 (/.f64 (sinh.f64 x) x))
Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify0.0ms (0%)

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

series88.0ms (0.7%)

Memory
0.0MiB live, 45.5MiB allocated; 3ms collecting garbage
Counts
4 → 16
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
Calls

3 calls:

TimeVariablePointExpression
61.0ms
x
@inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x) x)
25.0ms
x
@-inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x) x)
2.0ms
x
@0
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x) x)

simplify159.0ms (1.3%)

Memory
4.3MiB live, 95.3MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059187
1186187
2548181
32333181
46693181
08015165
Stop Event
iter limit
node limit
Counts
16 → 15
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64) (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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)
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

rewrite179.0ms (1.5%)

Memory
19.5MiB live, 108.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
0712
11812
27712
352812
4725312
0857612
Stop Event
iter limit
node limit
iter limit
Counts
4 → 184
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (log.f64 (/.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 (sinh.f64 x) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x)) (-.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64))))
(*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (/.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x))))
(*.f64 (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) x)))) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 (neg.f64 x)) (log.f64 (*.f64 (neg.f64 x) (sinh.f64 (neg.f64 x)))) (pow.f64 (log.f64 (sinh.f64 (neg.f64 x))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (fma.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 x) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))
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(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 x)) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (neg.f64 x)))
(-.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) x) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x)) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) x)))
(+.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) x))
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) (sinh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 x) #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) (neg.f64 (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 x)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (cosh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64))) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(sinh.f64 x)
(neg.f64 (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (cosh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))) (*.f64 (cosh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (sinh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))))
(-.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(-.f64 (-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 4 binary64)) (cosh.f64 x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) #s(literal 8 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(neg.f64 (neg.f64 x))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 x))
(log.f64 (exp.f64 x))
x

eval58.0ms (0.5%)

Memory
-10.2MiB live, 35.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 400 to 837 computations (81% saved)

prune47.0ms (0.4%)

Memory
-23.1MiB live, 30.1MiB allocated; 9ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1977204
Fresh000
Picked011
Done000
Total1978205
Accuracy
99.5%
Counts
205 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(log.f64 (/.f64 (sinh.f64 x) x))
55.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
55.7%
(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))))
55.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
98.7%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64) (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
98.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.4%
#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))
97.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 259 to 170 computations (34.4% saved)

simplify0.0ms (0%)

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

series23.0ms (0.2%)

Memory
31.0MiB live, 31.1MiB allocated; 0ms collecting garbage
Counts
27 → 48
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.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))
(*.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)
(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))
#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
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(* 1/2835 (pow x 2))
(pow x 2)
x
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(+ 1/6 (* 1/120 (pow x 2)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
Calls

3 calls:

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

simplify194.0ms (1.6%)

Memory
-23.2MiB live, 112.6MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109446
1310446
2829446
32950446
08500419
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(* 1/2835 (pow x 2))
(pow x 2)
x
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(+ 1/6 (* 1/120 (pow x 2)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
-1/180
#s(literal -1/180 binary64)
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(* 1/2835 (pow x 2))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
x
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (*.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))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2835 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* 1/2835 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
(* -1/180 (pow x 2))
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/120 (pow x 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x)

rewrite253.0ms (2.1%)

Memory
3.8MiB live, 148.4MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030221
049221
1167221
21110221
08238221
Stop Event
iter limit
node limit
iter limit
Counts
27 → 635
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.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))
(*.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)
(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))
#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)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
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(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal -1/120 binary64) x)) #s(literal 1/6 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/120 binary64) x)) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 #s(literal 1/120 binary64) x) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64))))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64))))) (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/720 binary64))))))
(+.f64 (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))))
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) x)) x))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
#s(literal 1/120 binary64)

eval157.0ms (1.3%)

Memory
20.7MiB live, 172.1MiB allocated; 45ms collecting garbage
Compiler

Compiled 29 346 to 3 816 computations (87% saved)

prune42.0ms (0.4%)

Memory
-38.6MiB live, 107.4MiB allocated; 15ms collecting garbage
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New1 024181 042
Fresh112
Picked055
Done011
Total1 025251 050
Accuracy
99.6%
Counts
1 050 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(log.f64 (/.f64 (sinh.f64 x) x))
55.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
55.7%
(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))))
55.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
53.9%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
98.4%
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)))
98.3%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))))
98.4%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
98.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
98.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
98.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
98.4%
#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))
97.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 1/6 binary64)))
97.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
47.5%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x))
97.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
73.7%
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
23.6%
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 957 to 625 computations (34.7% saved)

simplify0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

series41.0ms (0.3%)

Memory
31.5MiB live, 69.3MiB allocated; 6ms collecting garbage
Counts
33 → 52
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal 1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x))
(*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)
(*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
#s(literal -1/180 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) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 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))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
#s(literal 1 binary64)
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(* 1/2835 (pow x 2))
(pow x 2)
x
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* -1/180 (pow x 4))
(* -1/180 (pow x 3))
(* -1/180 (pow x 2))
(sqrt x)
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* 1/180 (* (pow x 4) (pow (sqrt -1) 2)))
(* (pow x 4) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/180 (pow (sqrt -1) 2))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
27.0ms
x
@-inf
((log (/ (sinh x) x)) (* (+ (* (- (* (* x x) 1/2835) 1/180) (* x x)) 1/6) (* x x)) (+ (* (- (* (* x x) 1/2835) 1/180) (* x x)) 1/6) (- (* (* x x) 1/2835) 1/180) (* (* x x) 1/2835) (* x x) x 1/2835 1/180 1/6 (log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (+ (* (* x x) 1/6) (* (* (* -1/180 (* x x)) x) x)) (* (* (* -1/180 (* x x)) x) x) (* (* -1/180 (* x x)) x) (* -1/180 (* x x)) -1/180 (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) (* (sqrt x) (sqrt x))) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (* (sqrt x) (sqrt x)) (sqrt x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1)
11.0ms
x
@inf
((log (/ (sinh x) x)) (* (+ (* (- (* (* x x) 1/2835) 1/180) (* x x)) 1/6) (* x x)) (+ (* (- (* (* x x) 1/2835) 1/180) (* x x)) 1/6) (- (* (* x x) 1/2835) 1/180) (* (* x x) 1/2835) (* x x) x 1/2835 1/180 1/6 (log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (+ (* (* x x) 1/6) (* (* (* -1/180 (* x x)) x) x)) (* (* (* -1/180 (* x x)) x) x) (* (* -1/180 (* x x)) x) (* -1/180 (* x x)) -1/180 (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) (* (sqrt x) (sqrt x))) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (* (sqrt x) (sqrt x)) (sqrt x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1)
3.0ms
x
@0
((log (/ (sinh x) x)) (* (+ (* (- (* (* x x) 1/2835) 1/180) (* x x)) 1/6) (* x x)) (+ (* (- (* (* x x) 1/2835) 1/180) (* x x)) 1/6) (- (* (* x x) 1/2835) 1/180) (* (* x x) 1/2835) (* x x) x 1/2835 1/180 1/6 (log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (+ (* (* x x) 1/6) (* (* (* -1/180 (* x x)) x) x)) (* (* (* -1/180 (* x x)) x) x) (* (* -1/180 (* x x)) x) (* -1/180 (* x x)) -1/180 (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) (* (sqrt x) (sqrt x))) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (* (sqrt x) (sqrt x)) (sqrt x) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (* 1/120 (* x x)) 1/120 1)

simplify144.0ms (1.2%)

Memory
16.2MiB live, 160.8MiB allocated; 47ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122458
1344458
2970454
33385454
08128428
Stop Event
iter limit
node limit
Counts
52 → 51
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(* 1/2835 (pow x 2))
(pow x 2)
x
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* -1/180 (pow x 4))
(* -1/180 (pow x 3))
(* -1/180 (pow x 2))
(sqrt x)
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* 1/180 (* (pow x 4) (pow (sqrt -1) 2)))
(* (pow x 4) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/180 (pow (sqrt -1) 2))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
-1/180
#s(literal -1/180 binary64)
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(pow x 2)
(*.f64 x x)
x
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* -1/180 (pow x 2))
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
(sqrt x)
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (*.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))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2835 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(* 1/2835 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 1/180 (* (pow x 4) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 2))) (* 1/180 (pow (sqrt -1) 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite187.0ms (1.6%)

Memory
-24.9MiB live, 252.7MiB allocated; 49ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043341
067333
1242313
21448311
08608307
Stop Event
iter limit
node limit
iter limit
Counts
33 → 709
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal 1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x))
(*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)
(*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
#s(literal -1/180 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) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 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))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
#s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
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(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) (sqrt.f64 x))) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x)) (*.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))))))
(+.f64 (pow.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x))) x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x) (sqrt.f64 x))) (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x)) (*.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) x)) x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) x) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) x)) x)
(*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 1/120 binary64) x) x)
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/120 binary64) x)))
(*.f64 x (*.f64 #s(literal 1/120 binary64) x))
(sqrt.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(fabs.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
#s(literal 1/120 binary64)
#s(literal 1 binary64)

eval162.0ms (1.4%)

Memory
23.0MiB live, 323.3MiB allocated; 50ms collecting garbage
Compiler

Compiled 35 744 to 4 254 computations (88.1% saved)

prune54.0ms (0.5%)

Memory
-11.9MiB live, 123.1MiB allocated; 15ms collecting garbage
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New1 14191 150
Fresh6814
Picked235
Done066
Total1 149261 175
Accuracy
99.7%
Counts
1 175 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(log.f64 (/.f64 (sinh.f64 x) x))
55.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
55.7%
(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))))
55.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
53.9%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
98.0%
#s(approx (log (/ (sinh x) x)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)))
47.7%
#s(approx (log (/ (sinh x) x)) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x))))
98.4%
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)))
98.4%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
52.9%
#s(approx (log (/ (sinh x) x)) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
98.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
98.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
98.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.4%
#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))
97.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) x))
97.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x)))
97.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
47.5%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x))
97.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
73.7%
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
23.6%
#s(approx (log (/ (sinh x) x)) #s(approx (+ (* (* x x) 1/6) (* (* (* -1/180 (* x x)) x) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 1 036 to 654 computations (36.9% saved)

simplify0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

series37.0ms (0.3%)

Memory
-24.1MiB live, 34.4MiB allocated; 5ms collecting garbage
Counts
36 → 67
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64))
(*.f64 #s(literal -1/180 binary64) x)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (sqrt.f64 x))
(*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
(sqrt.f64 x)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x))
#s(literal 1/180 binary64)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(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)
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(pow x 2)
x
(* -1/180 x)
(* 1/6 (sqrt (pow x 3)))
(* x (+ (* -1/180 (sqrt (pow x 5))) (* 1/6 (sqrt x))))
(* x (+ (* 1/6 (sqrt x)) (* (pow x 2) (+ (* -1/180 (sqrt x)) (* 1/2835 (sqrt (pow x 5)))))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(sqrt x)
(* 1/2835 (pow x 2))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/2835 (sqrt (pow x 11)))
(* (pow x 6) (+ (* -1/180 (sqrt (/ 1 (pow x 5)))) (* 1/2835 (sqrt (/ 1 x)))))
(* (pow x 6) (+ (* -1/180 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2835 (sqrt (/ 1 x))) (* 1/6 (sqrt (/ 1 (pow x 9)))))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1/2835 (* (pow x 6) (pow (sqrt -1) 2)))
(* (pow x 6) (+ (* -1/2835 (pow (sqrt -1) 2)) (* 1/180 (/ (pow (sqrt -1) 2) (pow x 2)))))
(* (pow x 6) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 4))) (+ (* -1/2835 (pow (sqrt -1) 2)) (* 1/180 (/ (pow (sqrt -1) 2) (pow x 2))))))
(* -1/2835 (* (sqrt (pow x 11)) (pow (sqrt -1) 2)))
(* (pow x 6) (+ (* -1/2835 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/180 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
(* (pow x 6) (+ (* -1/6 (* (sqrt (/ 1 (pow x 9))) (pow (sqrt -1) 2))) (+ (* -1/2835 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/180 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
23.0ms
x
@-inf
((log (/ (sinh x) x)) (* (+ (* (- (* (* x x) 1/2835) 1/180) (* x x)) 1/6) (* x x)) (+ (* (- (* (* x x) 1/2835) 1/180) (* x x)) 1/6) (- (* (* x x) 1/2835) 1/180) (+ (* (* x x) 1/2835) -1/180) (* x x) x 1/2835 -1/180 1/6 (log (/ (sinh x) x)) (* (+ (* (* -1/180 x) x) 1/6) (* x x)) (+ (* (* -1/180 x) x) 1/6) (* -1/180 x) (log (/ (sinh x) x)) (* (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (sqrt x)) (sqrt x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (sqrt x)) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (sqrt x) (log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (* (sqrt x) (sqrt x))) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (- (* 1/2835 (* x x)) 1/180) (* 1/2835 (* x x)) 1/180 (* (sqrt x) (sqrt 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) (+ (* 1/5040 (* x x)) 1/120) 1/5040 1/120 1)
10.0ms
x
@inf
((log (/ (sinh x) x)) (* (+ (* (- (* (* x x) 1/2835) 1/180) (* x x)) 1/6) (* x x)) (+ (* (- (* (* x x) 1/2835) 1/180) (* x x)) 1/6) (- (* (* x x) 1/2835) 1/180) (+ (* (* x x) 1/2835) -1/180) (* x x) x 1/2835 -1/180 1/6 (log (/ (sinh x) x)) (* (+ (* (* -1/180 x) x) 1/6) (* x x)) (+ (* (* -1/180 x) x) 1/6) (* -1/180 x) (log (/ (sinh x) x)) (* (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (sqrt x)) (sqrt x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (sqrt x)) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (sqrt x) (log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (* (sqrt x) (sqrt x))) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (- (* 1/2835 (* x x)) 1/180) (* 1/2835 (* x x)) 1/180 (* (sqrt x) (sqrt 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) (+ (* 1/5040 (* x x)) 1/120) 1/5040 1/120 1)
2.0ms
x
@0
((log (/ (sinh x) x)) (* (+ (* (- (* (* x x) 1/2835) 1/180) (* x x)) 1/6) (* x x)) (+ (* (- (* (* x x) 1/2835) 1/180) (* x x)) 1/6) (- (* (* x x) 1/2835) 1/180) (+ (* (* x x) 1/2835) -1/180) (* x x) x 1/2835 -1/180 1/6 (log (/ (sinh x) x)) (* (+ (* (* -1/180 x) x) 1/6) (* x x)) (+ (* (* -1/180 x) x) 1/6) (* -1/180 x) (log (/ (sinh x) x)) (* (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (sqrt x)) (sqrt x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (sqrt x)) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (sqrt x) (log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (* (sqrt x) (sqrt x))) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (- (* 1/2835 (* x x)) 1/180) (* 1/2835 (* x x)) 1/180 (* (sqrt x) (sqrt 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) (+ (* 1/5040 (* x x)) 1/120) 1/5040 1/120 1)

simplify124.0ms (1%)

Memory
24.4MiB live, 154.6MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0175683
1522683
21648679
35504679
08123644
Stop Event
iter limit
node limit
Counts
67 → 66
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(pow x 2)
x
(* -1/180 x)
(* 1/6 (sqrt (pow x 3)))
(* x (+ (* -1/180 (sqrt (pow x 5))) (* 1/6 (sqrt x))))
(* x (+ (* 1/6 (sqrt x)) (* (pow x 2) (+ (* -1/180 (sqrt x)) (* 1/2835 (sqrt (pow x 5)))))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(sqrt x)
(* 1/2835 (pow x 2))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/2835 (sqrt (pow x 11)))
(* (pow x 6) (+ (* -1/180 (sqrt (/ 1 (pow x 5)))) (* 1/2835 (sqrt (/ 1 x)))))
(* (pow x 6) (+ (* -1/180 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2835 (sqrt (/ 1 x))) (* 1/6 (sqrt (/ 1 (pow x 9)))))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1/2835 (* (pow x 6) (pow (sqrt -1) 2)))
(* (pow x 6) (+ (* -1/2835 (pow (sqrt -1) 2)) (* 1/180 (/ (pow (sqrt -1) 2) (pow x 2)))))
(* (pow x 6) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 4))) (+ (* -1/2835 (pow (sqrt -1) 2)) (* 1/180 (/ (pow (sqrt -1) 2) (pow x 2))))))
(* -1/2835 (* (sqrt (pow x 11)) (pow (sqrt -1) 2)))
(* (pow x 6) (+ (* -1/2835 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/180 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
(* (pow x 6) (+ (* -1/6 (* (sqrt (/ 1 (pow x 9))) (pow (sqrt -1) 2))) (+ (* -1/2835 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/180 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (pow (sqrt -1) 2)))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
-1/180
#s(literal -1/180 binary64)
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(pow x 2)
(*.f64 x x)
x
(* -1/180 x)
(*.f64 #s(literal -1/180 binary64) x)
(* 1/6 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))
(* x (+ (* -1/180 (sqrt (pow x 5))) (* 1/6 (sqrt x))))
(*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal -1/180 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64))) x)
(* x (+ (* 1/6 (sqrt x)) (* (pow x 2) (+ (* -1/180 (sqrt x)) (* 1/2835 (sqrt (pow x 5)))))))
(fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/2835 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/180 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(sqrt x)
(sqrt.f64 x)
(* 1/2835 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (*.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))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2835 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2835 binary64))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(* -1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/180 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/180 (pow x 2))
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)
(* 1/2835 (sqrt (pow x 11)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 11 binary64))) #s(literal 1/2835 binary64))
(* (pow x 6) (+ (* -1/180 (sqrt (/ 1 (pow x 5)))) (* 1/2835 (sqrt (/ 1 x)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2835 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/180 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ (* -1/180 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2835 (sqrt (/ 1 x))) (* 1/6 (sqrt (/ 1 (pow x 9)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/180 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2835 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/2835 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))
(* 1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/5040 binary64))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/5040 (pow x 2))
(*.f64 #s(literal 1/5040 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* -1/2835 (* (pow x 6) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (+ (* -1/2835 (pow (sqrt -1) 2)) (* 1/180 (/ (pow (sqrt -1) 2) (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ (* -1/6 (/ (pow (sqrt -1) 2) (pow x 4))) (+ (* -1/2835 (pow (sqrt -1) 2)) (* 1/180 (/ (pow (sqrt -1) 2) (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/180 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* -1/2835 (* (sqrt (pow x 11)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 11 binary64))) #s(literal 1/2835 binary64))
(* (pow x 6) (+ (* -1/2835 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/180 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2835 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/180 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ (* -1/6 (* (sqrt (/ 1 (pow x 9))) (pow (sqrt -1) 2))) (+ (* -1/2835 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/180 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/180 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2835 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/2835 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (pow (sqrt -1) 2)))
x

rewrite285.0ms (2.4%)

Memory
-13.9MiB live, 282.9MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046403
076383
1260383
21629382
08706382
Stop Event
iter limit
node limit
iter limit
Counts
36 → 511
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64))
(*.f64 #s(literal -1/180 binary64) x)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (sqrt.f64 x))
(*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
(sqrt.f64 x)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x))
#s(literal 1/180 binary64)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(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)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
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(+.f64 (/.f64 (*.f64 #s(literal 1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))) (/.f64 (*.f64 #s(literal 1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/128024064000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) #s(literal 1/604800 binary64))))))
(+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1 binary64)

eval228.0ms (1.9%)

Memory
34.0MiB live, 361.4MiB allocated; 43ms collecting garbage
Compiler

Compiled 47 044 to 5 198 computations (89% saved)

prune46.0ms (0.4%)

Memory
-4.9MiB live, 129.5MiB allocated; 14ms collecting garbage
Pruning

25 alts after pruning (12 fresh and 13 done)

PrunedKeptTotal
New1 23151 236
Fresh5712
Picked145
Done099
Total1 237251 262
Accuracy
99.7%
Counts
1 262 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(log.f64 (/.f64 (sinh.f64 x) x))
55.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
55.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* x x)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
55.7%
(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))))
55.3%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
53.9%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
47.7%
#s(approx (log (/ (sinh x) x)) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x))))
98.4%
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)))
98.4%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) #s(literal 1/6 binary64))))
52.9%
#s(approx (log (/ (sinh x) x)) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
98.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
98.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
98.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
98.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
98.8%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
98.4%
#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))
97.5%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))) (sqrt.f64 x)))
97.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))) x) (sqrt.f64 x)))
97.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) x))
97.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
97.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
46.8%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (* -1/180 x) x) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) (*.f64 x x)))
Compiler

Compiled 1 523 to 594 computations (61% saved)

regimes30.0ms (0.3%)

Memory
-22.0MiB live, 82.3MiB allocated; 9ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) 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 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (sqrt.f64 x)) (sqrt.f64 x)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))) x) (sqrt.f64 x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (* -1/180 x) x) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* -1/180 (* x x)) 1/6) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
#s(approx (log (/ (sinh x) x)) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
(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)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))) (sqrt.f64 x)))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (/ (sinh x) x)) #s(approx (+ (* (* x x) 1/6) (* (* (* -1/180 (* x x)) x) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(approx (+ (* 1/5040 (* x x)) 1/120) (*.f64 #s(literal 1/5040 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64) (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) x) (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) x) x) #s(literal 1/6 binary64))))
(log.f64 (/.f64 (sinh.f64 x) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))))
#s(approx (log (/ (sinh x) x)) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) x) x))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
Calls

3 calls:

14.0ms
x
8.0ms
(/.f64 (sinh.f64 x) x)
7.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
98.8%1(/.f64 (sinh.f64 x) x)
98.8%1(log.f64 (/.f64 (sinh.f64 x) x))
98.8%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) 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 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
Calls

3 calls:

3.0ms
x
2.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
98.8%1(/.f64 (sinh.f64 x) x)
98.8%1(log.f64 (/.f64 (sinh.f64 x) x))
98.8%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) 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 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

3 calls:

3.0ms
x
2.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
98.8%1(/.f64 (sinh.f64 x) x)
98.8%1(log.f64 (/.f64 (sinh.f64 x) x))
98.8%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.1%)

Memory
-32.6MiB live, 14.3MiB allocated; 3ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)))
Outputs
#s(approx (log (/ (sinh x) x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)))
Calls

3 calls:

8.0ms
x
2.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
98.4%1(/.f64 (sinh.f64 x) x)
98.4%1(log.f64 (/.f64 (sinh.f64 x) x))
98.4%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory
10.8MiB live, 10.9MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
Calls

3 calls:

2.0ms
x
2.0ms
(/.f64 (sinh.f64 x) x)
2.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
98.4%1(/.f64 (sinh.f64 x) x)
98.4%1(log.f64 (/.f64 (sinh.f64 x) x))
98.4%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

3 calls:

2.0ms
x
1.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
98.4%1(/.f64 (sinh.f64 x) x)
98.4%1(log.f64 (/.f64 (sinh.f64 x) x))
98.4%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

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

Total -0.1b remaining (-6.2%)

Threshold costs -0.1b (-6.2%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 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
97.6%1(/.f64 (sinh.f64 x) x)
97.6%1(log.f64 (/.f64 (sinh.f64 x) x))
97.6%1x
Compiler

Compiled 10 to 8 computations (20% saved)

simplify76.0ms (0.6%)

Memory
-49.0MiB live, 65.2MiB allocated; 66ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040135
154135
297135
3176135
4442135
52281135
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#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)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(approx (- (* (* x x) 1/2835) 1/180) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#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)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

derivations680.0ms (5.7%)

Memory
13.7MiB live, 718.2MiB allocated; 107ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030221
049221
1167221
21110221
08238221
059187
1186187
2548181
32333181
46693181
08015165
0122458
1344458
2970454
33385454
08128428
0109446
1310446
2829446
32950446
08500419
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 135 to 42 computations (68.9% saved)

preprocess211.0ms (1.8%)

Memory
33.7MiB live, 176.2MiB allocated; 64ms collecting garbage
Remove

(abs x)

Compiler

Compiled 384 to 152 computations (60.4% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...