bug500, discussion (missed optimization)

Time bar (total: 12.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze170.0ms (1.4%)

Memory
-29.3MiB live, 70.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
50.4%50.4%49.6%0%0%0%0%9
51%51%49%0%0%0%0%10
51.3%51.2%48.7%0%0%0%0%11
51.3%51.3%48.7%0%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample4.7s (39.2%)

Memory
-33.9MiB live, 3 916.1MiB allocated
Samples
2.7s5 490×2valid
746.0ms7 873×1exit
469.0ms2 368×1valid
23.0ms398×0valid
1.0ms5exit
Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-log: 1.8s (57.1% of total)
ival-sinh: 768.0ms (24% of total)
ival-div: 335.0ms (10.5% of total)
adjust: 249.0ms (7.8% of total)
ival-true: 13.0ms (0.4% of total)
ival-assert: 7.0ms (0.2% of total)
Bogosity

explain309.0ms (2.6%)

Memory
3.1MiB live, 388.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
147106(-5.378299675812784e-175)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))sensitivity2440
log.f64(log.f64 (/.f64 (sinh.f64 x) x))oflow-rescue90
(sinh.f64 x)overflow9
(/.f64 (sinh.f64 x) x)overflow9
Confusion
Predicted +Predicted -
+1470
-1063
Precision
0.5810276679841897
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14700
-10603
Precision?
0.5810276679841897
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
212.0ms338×2valid
26.0ms144×1valid
2.0ms30×0valid
Compiler

Compiled 33 to 16 computations (51.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-sinh: 104.0ms (49.5% of total)
ival-log: 79.0ms (37.6% of total)
ival-div: 18.0ms (8.6% of total)
adjust: 9.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess330.0ms (2.8%)

Memory
-23.5MiB live, 359.3MiB allocated
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.4%
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify229.0ms (1.9%)

Memory
16.9MiB live, 200.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
0712
11312
22712
36612
426412
5164212
6385012
0882412
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x
Outputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
x

localize115.0ms (1%)

Memory
25.6MiB live, 174.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sinh.f64 x)
accuracy0.01171875
(/.f64 (sinh.f64 x) x)
accuracy33.66826808108406
(log.f64 (/.f64 (sinh.f64 x) x))
Samples
88.0ms169×2valid
18.0ms72×1valid
1.0ms15×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-log: 53.0ms (56.9% of total)
ival-sinh: 22.0ms (23.6% of total)
ival-div: 13.0ms (14% of total)
adjust: 5.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series65.0ms (0.5%)

Memory
-16.7MiB live, 70.8MiB allocated
Counts
3 → 16
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
Calls

3 calls:

TimeVariablePointExpression
31.0ms
x
@inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
29.0ms
x
@-inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))
5.0ms
x
@0
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x))

simplify311.0ms (2.6%)

Memory
3.0MiB live, 353.3MiB allocated
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))))))

rewrite180.0ms (1.5%)

Memory
4.8MiB live, 241.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
0711
11811
27711
352811
4725311
0857611
Stop Event
iter limit
node limit
iter limit
Counts
3 → 179
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 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))))))
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(/.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)))))
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(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.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 #s(literal -2 binary64) (sinh.f64 x)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (sinh.f64 (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (sinh.f64 x) x)
(neg.f64 (/.f64 (sinh.f64 (neg.f64 x)) x))
(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)))

eval26.0ms (0.2%)

Memory
2.0MiB live, 47.9MiB allocated
Compiler

Compiled 4 294 to 813 computations (81.1% saved)

prune21.0ms (0.2%)

Memory
-21.8MiB live, 31.9MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1877194
Fresh000
Picked011
Done000
Total1878195
Accuracy
96.8%
Counts
195 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.4%
(log.f64 (/.f64 (sinh.f64 x) x))
3.2%
(log.f64 (-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) x) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x)))
46.9%
(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))))
46.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
46.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
95.6%
#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) x))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 235 to 158 computations (32.8% saved)

simplify179.0ms (1.5%)

Memory
21.8MiB live, 156.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
cost-diff0
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 (-.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)
cost-diff0
#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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030242
049242
189242
2255242
3840242
42322242
55134242
08114242
Stop Event
iter limit
node limit
iter limit
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))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
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))
#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 #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 (*.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 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(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 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize277.0ms (2.3%)

Memory
-15.5MiB live, 271.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.01171875
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy2.7977363234325723
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy33.66826808108406
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.0
(*.f64 x x)
accuracy0.02734375
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
accuracy2.8162292546771477
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
accuracy33.66826808108406
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
accuracy0.0234375
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.140625
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy0.2890625
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy2.8918527815358708
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy0.0
(*.f64 x x)
accuracy0.28515625
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
accuracy2.8425115036166013
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.1328125
(*.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)
accuracy0.1953125
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x))
accuracy0.27734375
(*.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)
accuracy2.657491900791364
#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))
Samples
206.0ms169×2valid
36.0ms72×1valid
4.0ms15×0valid
Compiler

Compiled 182 to 29 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-log: 41.0ms (20.9% of total)
ival-mult: 36.0ms (18.4% of total)
ival-sinh: 32.0ms (16.3% of total)
ival-div: 31.0ms (15.8% of total)
const: 21.0ms (10.7% of total)
adjust: 20.0ms (10.2% of total)
ival-add: 11.0ms (5.6% of total)
ival-sub: 3.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
26.7MiB live, 71.3MiB allocated
Counts
19 → 44
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))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/2835 binary64) (*.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))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(pow x 2)
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)))
(* 1/2835 (pow x 2))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/2 (/ (- (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
14.0ms
x
@inf
((log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (* 1/2835 (* x x)))
10.0ms
x
@-inf
((log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (* 1/2835 (* x x)))
2.0ms
x
@0
((log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (* (* x x) 1/6) (* x x) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (+ (* -1/180 (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (* 1/2835 (* x x)))

simplify144.0ms (1.2%)

Memory
-35.6MiB live, 305.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108430
1308430
2820430
32893430
08309409
Stop Event
iter limit
node limit
Counts
44 → 44
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(pow x 2)
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)))
(* 1/2835 (pow x 2))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/2 (/ (- (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 (-.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 (*.f64 #s(literal 1/2835 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64)) #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 (-.f64 (*.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 (-.f64 (*.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
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))
(* 1/2835 (pow x 2))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x 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))))
(* 1/2835 (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)))
(* -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)

rewrite210.0ms (1.8%)

Memory
24.3MiB live, 307.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030207
049207
1167207
21110207
08238207
Stop Event
iter limit
node limit
iter limit
Counts
19 → 599
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))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/2835 binary64) (*.f64 x x))
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)))
(*.f64 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)) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))
(neg.f64 (*.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)) x))
(neg.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)) (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 (*.f64 (neg.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))))
(fma.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) x) x))
(fma.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x)) x))
(fma.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) x (*.f64 x (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) x)))
(fma.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) x (*.f64 x (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x))))
(fma.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x)))
(fma.f64 (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)) x (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) x) x))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)) x (*.f64 (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x)) x))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)) x (*.f64 x (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) x)))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)) x (*.f64 x (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x)))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)) x (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) x) x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (neg.f64 x) (*.f64 (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x)) x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (neg.f64 x) (*.f64 x (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (neg.f64 x) (*.f64 x (*.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (neg.f64 x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (neg.f64 x) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) x) x) (*.f64 x x)))
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eval403.0ms (3.4%)

Memory
-6.2MiB live, 242.7MiB allocated
Compiler

Compiled 22 952 to 2 826 computations (87.7% saved)

prune108.0ms (0.9%)

Memory
17.7MiB live, 62.8MiB allocated
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New75011761
Fresh022
Picked055
Done011
Total75019769
Accuracy
96.9%
Counts
769 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.4%
(log.f64 (/.f64 (sinh.f64 x) x))
3.2%
(log.f64 (-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) x) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x)))
46.9%
(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))))
46.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
46.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
45.9%
(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))))
95.1%
#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))))))
95.2%
#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))))
95.2%
#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))
95.1%
#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))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
95.6%
#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) x))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.3%
#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))
52.7%
#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))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
34.8%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
67.7%
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
25.4%
#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 737 to 497 computations (32.6% saved)

simplify449.0ms (3.8%)

Memory
3.4MiB live, 190.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
cost-diff0
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
cost-diff1
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
cost-diff0
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))
cost-diff0
(*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
cost-diff0
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
cost-diff0
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
cost-diff0
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)
cost-diff0
#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))
cost-diff2
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x))
cost-diff0
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054395
082392
1141392
2331392
3889392
42187392
54994392
08560377
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
#s(literal -1/180 binary64)
(*.f64 x x)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/36 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
(*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x)
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
#s(literal 1/180 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x)
(/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
(*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)
(fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))
#s(literal -1/5832000 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/216 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))
(pow.f64 x #s(literal 4 binary64))
#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(literal 1/36 binary64)
(*.f64 (*.f64 x x) #s(literal -1/1080 binary64))
(*.f64 x x)
#s(literal -1/1080 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (*.f64 (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)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/180 binary64))
#s(literal -1/180 binary64)
(*.f64 x x)
x
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 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)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/36 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x)
(*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
#s(literal 1/180 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x)
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
(*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)))
(*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) x)
(fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64))
#s(literal -1/5832000 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/216 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))
(fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/32400 binary64)
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))
(fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 (*.f64 x x) #s(literal -1/1080 binary64))
(*.f64 #s(literal -1/1080 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal -1/1080 binary64)

localize688.0ms (5.7%)

Memory
-30.9MiB live, 349.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x)
accuracy0.31640625
(*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)
accuracy0.4296875
(/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
accuracy2.8918527815358708
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
accuracy0.140625
(*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x)
accuracy0.234375
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy2.8918527815358708
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
accuracy38.76685488188945
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
accuracy0.0
(pow.f64 x #s(literal 4 binary64))
accuracy0.09375
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
accuracy2.8425115036166013
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
accuracy17.803341509210057
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
accuracy0.125
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
accuracy0.140625
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)
accuracy0.27734375
(*.f64 #s(literal 1/6 binary64) x)
accuracy2.8918527815358708
#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))
accuracy0.1328125
(*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy0.27734375
(*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy2.657491900791364
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy2.9280660098459474
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
Samples
450.0ms169×2valid
163.0ms72×1valid
11.0ms15×0valid
Compiler

Compiled 288 to 50 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 493.0ms
ival-mult: 129.0ms (26.1% of total)
adjust: 74.0ms (15% of total)
const: 73.0ms (14.8% of total)
ival-log: 68.0ms (13.8% of total)
ival-pow: 56.0ms (11.3% of total)
ival-sinh: 26.0ms (5.3% of total)
ival-div: 22.0ms (4.5% of total)
ival-add: 21.0ms (4.3% of total)
ival-sub: 13.0ms (2.6% of total)
ival-sqrt: 7.0ms (1.4% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
24.7MiB live, 71.4MiB allocated
Counts
23 → 41
Calls
Call 1
Inputs
#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))
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) 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))
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
(*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x)
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x)
(/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 1/6 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 (pow x 2))
(* 1/36 (pow x 4))
(pow x 4)
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(/ 1/6 (pow x 2))
(* 1/216 x)
(* x (+ 1/216 (* -1/5832000 (pow x 6))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/1080 (pow x 2))
(* (pow x 2) (+ 1/1080 (* 1/36 (/ 1 (pow x 2)))))
(* -1/5832000 (pow x 7))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- 1/5832000 (* 1/216 (/ 1 (pow x 6))))))
Calls

3 calls:

TimeVariablePointExpression
17.0ms
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) (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) x) (* -1/180 (* x x)) (log (/ (sinh x) x)) (sqrt (* (pow x 4) 1/36)) (* (pow x 4) 1/36) (pow x 4) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (* (pow x 3) (- (/ 1/6 (* x x)) 1/180)) (- 1/36 (* (* x x) -1/1080)) (log (/ (sinh x) x)) (* (/ (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (+ (* (pow x 4) 1/32400) (- 1/36 (* (* x x) -1/1080)))) x) (/ (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (+ (* (pow x 4) 1/32400) (- 1/36 (* (* x x) -1/1080)))) (* 1/6 x) (/ 1/6 (* x x)) (* (+ (* -1/5832000 (pow x 6)) 1/216) x))
13.0ms
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) (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) x) (* -1/180 (* x x)) (log (/ (sinh x) x)) (sqrt (* (pow x 4) 1/36)) (* (pow x 4) 1/36) (pow x 4) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (* (pow x 3) (- (/ 1/6 (* x x)) 1/180)) (- 1/36 (* (* x x) -1/1080)) (log (/ (sinh x) x)) (* (/ (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (+ (* (pow x 4) 1/32400) (- 1/36 (* (* x x) -1/1080)))) x) (/ (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (+ (* (pow x 4) 1/32400) (- 1/36 (* (* x x) -1/1080)))) (* 1/6 x) (/ 1/6 (* x x)) (* (+ (* -1/5832000 (pow x 6)) 1/216) x))
4.0ms
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) (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (* 1/6 x)) x) (* -1/180 (* x x)) (log (/ (sinh x) x)) (sqrt (* (pow x 4) 1/36)) (* (pow x 4) 1/36) (pow x 4) (log (/ (sinh x) x)) (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (* (+ (* -1/180 (* x x)) 1/6) x) (* (pow x 3) (- (/ 1/6 (* x x)) 1/180)) (- 1/36 (* (* x x) -1/1080)) (log (/ (sinh x) x)) (* (/ (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (+ (* (pow x 4) 1/32400) (- 1/36 (* (* x x) -1/1080)))) x) (/ (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (+ (* (pow x 4) 1/32400) (- 1/36 (* (* x x) -1/1080)))) (* 1/6 x) (/ 1/6 (* x x)) (* (+ (* -1/5832000 (pow x 6)) 1/216) x))

simplify172.0ms (1.4%)

Memory
-24.5MiB live, 214.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108382
1275382
2655382
32123380
46272380
08727369
Stop Event
iter limit
node limit
Counts
41 → 41
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 (pow x 2))
(* 1/36 (pow x 4))
(pow x 4)
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(/ 1/6 (pow x 2))
(* 1/216 x)
(* x (+ 1/216 (* -1/5832000 (pow x 6))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/1080 (pow x 2))
(* (pow x 2) (+ 1/1080 (* 1/36 (/ 1 (pow x 2)))))
(* -1/5832000 (pow x 7))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- 1/5832000 (* 1/216 (/ 1 (pow x 6))))))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (-.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)
(* (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 (*.f64 #s(literal 1/2835 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64)) #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 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(* -1/180 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/180 binary64))
(* 1/36 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* 1/1080 (pow x 2)))
(fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/216 x)
(*.f64 #s(literal 1/216 binary64) x)
(* x (+ 1/216 (* -1/5832000 (pow x 6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 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))))
(* 1/2835 (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 (-.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)))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -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)))
(* 1/1080 (pow x 2))
(*.f64 #s(literal 1/1080 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/1080 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))
(* -1/5832000 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5832000 binary64))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))
(*.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/5832000 binary64)) (pow.f64 x #s(literal 7 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 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 7) (- 1/5832000 (* 1/216 (/ 1 (pow x 6))))))
(*.f64 (-.f64 #s(literal -1/5832000 binary64) (/.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))

rewrite301.0ms (2.5%)

Memory
49.8MiB live, 359.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054327
082288
1266286
21775286
08379273
Stop Event
iter limit
node limit
iter limit
Counts
23 → 471
Calls
Call 1
Inputs
#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))
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) 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))
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x)
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
(*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x)
#s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x)
(/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x x) #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)))
(*.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)) (*.f64 x x))
(*.f64 x (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x))
(*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
(*.f64 x #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)))
#s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) (/.f64 x (-.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x)))))) (-.f64 (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 1/34012224000000 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/1049760000 binary64) (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))) (-.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))) (*.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
(*.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x)))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x))))) (fma.f64 (/.f64 #s(literal 1/32400 binary64) x) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) x) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) x))) (fma.f64 #s(literal 1/6 binary64) x (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) (fma.f64 #s(literal 1/6 binary64) x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)))))))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/5832000 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (fma.f64 (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) (*.f64 (neg.f64 x) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) (fma.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) x) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) x)))))
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(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)))))) (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) (*.f64 #s(literal 1/6 binary64) x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (*.f64 #s(literal -1/6 binary64) x))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)))
(fabs.f64 (*.f64 #s(literal 1/6 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (fabs.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x))) x)
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) x)
(/.f64 (fabs.f64 (/.f64 #s(literal 1/6 binary64) x)) x)
(/.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(sqrt.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fabs.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) x)
(*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x)) (*.f64 (*.f64 #s(literal 1/216 binary64) x) (*.f64 #s(literal 1/216 binary64) x))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x) (*.f64 #s(literal 1/216 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/216 binary64) x) (*.f64 #s(literal 1/216 binary64) x)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x))) (-.f64 (*.f64 #s(literal 1/216 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)))) (*.f64 (*.f64 x #s(literal 1/216 binary64)) (*.f64 x #s(literal 1/216 binary64)))) (-.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (*.f64 x #s(literal 1/216 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/216 binary64)) (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))))) (-.f64 (*.f64 x #s(literal 1/216 binary64)) (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/216 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/216 binary64) x) (*.f64 #s(literal 1/216 binary64) x)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x) (*.f64 #s(literal 1/216 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/216 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/216 binary64) x) (*.f64 #s(literal 1/216 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x)) (*.f64 (*.f64 #s(literal 1/216 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/216 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/216 binary64)) (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (*.f64 x #s(literal 1/216 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/216 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/216 binary64)) (*.f64 x #s(literal 1/216 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)))) (*.f64 (*.f64 x #s(literal 1/216 binary64)) (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/34012224000000 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/46656 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) #s(literal 1/216 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1/198359290368000000000 binary64) #s(literal 1/10077696 binary64)))) (neg.f64 (fma.f64 #s(literal 1/34012224000000 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal -1/1259712000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/34012224000000 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/46656 binary64)) x)) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) #s(literal 1/216 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1/198359290368000000000 binary64) #s(literal 1/10077696 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/34012224000000 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal -1/1259712000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/34012224000000 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/46656 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) #s(literal 1/216 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1/198359290368000000000 binary64) #s(literal 1/10077696 binary64))) (fma.f64 #s(literal 1/34012224000000 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal -1/1259712000 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/34012224000000 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/46656 binary64)) x) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) #s(literal 1/216 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1/198359290368000000000 binary64) #s(literal 1/10077696 binary64)) x) (fma.f64 #s(literal 1/34012224000000 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal -1/1259712000 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x (*.f64 #s(literal 1/216 binary64) x))
(fma.f64 #s(literal 1/216 binary64) x (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) (*.f64 x #s(literal 1/216 binary64)))
(fma.f64 x #s(literal 1/216 binary64) (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x) (*.f64 #s(literal 1/216 binary64) x))
(+.f64 (*.f64 #s(literal 1/216 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) x))
(+.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (*.f64 x #s(literal 1/216 binary64)))
(+.f64 (*.f64 x #s(literal 1/216 binary64)) (*.f64 x (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))))

eval112.0ms (0.9%)

Memory
-3.8MiB live, 109.4MiB allocated
Compiler

Compiled 13 159 to 1 865 computations (85.8% saved)

prune26.0ms (0.2%)

Memory
-1.6MiB live, 46.1MiB allocated
Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New37410384
Fresh358
Picked145
Done066
Total37825403
Accuracy
97.0%
Counts
403 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.4%
(log.f64 (/.f64 (sinh.f64 x) x))
3.2%
(log.f64 (-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) x) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x)))
46.9%
(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))))
46.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
46.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
45.9%
(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))))
95.1%
#s(approx (log (/ (sinh x) x)) (pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64)))
95.2%
#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))))
95.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)))
95.2%
#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))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
95.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/32400 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) x) (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
95.1%
#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))
95.6%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
95.6%
#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) x))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.3%
#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))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
34.8%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/180 binary64)))) x))
34.8%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
52.1%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) (*.f64 x x))) x))
67.7%
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
67.7%
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/36 binary64))))
67.6%
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))))
67.7%
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
Compiler

Compiled 885 to 597 computations (32.5% saved)

simplify131.0ms (1.1%)

Memory
-7.6MiB live, 133.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
cost-diff0
(*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
cost-diff1
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))
cost-diff0
#s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(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))))
cost-diff0
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
cost-diff2
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x))))
cost-diff0
(*.f64 x x)
cost-diff0
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))))
cost-diff0
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
cost-diff4
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64))
cost-diff0
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)))
cost-diff1
(-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056474
087474
1159474
2387465
31093459
42867459
55612459
08276437
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/5832000 binary64)
#s(literal 1/216 binary64)
(*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)
(/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x)))))
(fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))
#s(literal 1/32400 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x)))
#s(literal 1/36 binary64)
(*.f64 #s(literal -1/1080 binary64) (*.f64 x x))
#s(literal -1/1080 binary64)
(*.f64 x x)
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(*.f64 x x)
x
(*.f64 #s(literal 1/36 binary64) (*.f64 x x))
#s(literal 1/36 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x))))
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
#s(literal -1/180 binary64)
(*.f64 x x)
x
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/36 binary64) (*.f64 x x))
#s(literal 1/36 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#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)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
(*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x)
(/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
#s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x))
(*.f64 #s(literal 1/216 binary64) x)
#s(literal 1/216 binary64)
x
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))
(pow.f64 x #s(literal 4 binary64))
#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(literal 1/36 binary64)
(*.f64 (*.f64 x x) #s(literal -1/1080 binary64))
(*.f64 x x)
#s(literal -1/1080 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/1080 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal 1/36 binary64)))) (fma.f64 #s(literal 1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/1080 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal 1/36 binary64)))) (fma.f64 #s(literal 1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64))
(fma.f64 #s(literal 1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/5832000 binary64)
#s(literal 1/216 binary64)
(*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)
(/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/1080 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal 1/36 binary64))))
(/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x)))))
(/.f64 x (fma.f64 (*.f64 #s(literal 1/1080 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal 1/36 binary64))))
(fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/1080 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal 1/36 binary64)))
#s(literal 1/32400 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 #s(literal -1/1080 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/1080 binary64))
#s(literal -1/1080 binary64)
(*.f64 x x)
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x x)
x
(*.f64 #s(literal 1/36 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/36 binary64) x) x)
#s(literal 1/36 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
#s(approx (log (/ (sinh x) x)) (fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) x) x)) x (*.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) x) x)) x (*.f64 #s(literal -1/180 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64) (sqrt.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) x) x)))
(*.f64 #s(literal -1/180 binary64) (*.f64 x x))
#s(literal -1/180 binary64)
(*.f64 x x)
x
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) x) x))
(*.f64 #s(literal 1/36 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/36 binary64) x) x)
#s(literal 1/36 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#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)
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/1080 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal 1/36 binary64))))))
(*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x)
(*.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (/.f64 x (fma.f64 (*.f64 #s(literal 1/1080 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal 1/36 binary64)))))
(/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
(/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (*.f64 #s(literal 1/1080 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal 1/36 binary64))))
#s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x))
(*.f64 #s(literal 1/216 binary64) x)
#s(literal 1/216 binary64)
x
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))
(fma.f64 (*.f64 #s(literal 1/1080 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) #s(literal 1/36 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/32400 binary64)
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))
(fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 (*.f64 x x) #s(literal -1/1080 binary64))
(*.f64 x x)
#s(literal -1/1080 binary64)

localize479.0ms (4%)

Memory
34.5MiB live, 587.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3359375
(*.f64 #s(literal 1/216 binary64) x)
accuracy0.4296875
(/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
accuracy2.878011847795997
#s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x))
accuracy2.8918527815358708
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
accuracy0.15234375
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
accuracy2.7977363234325723
#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)))
accuracy33.66826808108406
(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))))
accuracy59.716015980364304
#s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
accuracy0.140625
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)
accuracy0.24609375
(*.f64 #s(literal 1/36 binary64) (*.f64 x x))
accuracy2.8918527815358708
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
accuracy25.016888645709027
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))
accuracy0.07421875
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))
accuracy0.24609375
(*.f64 #s(literal 1/36 binary64) (*.f64 x x))
accuracy2.8425115036166013
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
accuracy17.803341509210057
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))))
accuracy0.13671875
(*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)
accuracy0.2265625
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x))
accuracy0.36328125
(/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x)))))
accuracy2.630570526583913
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)))
Samples
258.0ms155×2valid
82.0ms71×1valid
32.0ms15×3valid
7.0ms15×0valid
Compiler

Compiled 346 to 52 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 325.0ms
adjust: 58.0ms (17.9% of total)
ival-mult: 58.0ms (17.9% of total)
const: 55.0ms (16.9% of total)
ival-sinh: 43.0ms (13.2% of total)
ival-log: 39.0ms (12% of total)
ival-add: 28.0ms (8.6% of total)
ival-sqrt: 18.0ms (5.5% of total)
ival-div: 14.0ms (4.3% of total)
ival-pow: 6.0ms (1.8% of total)
ival-sub: 5.0ms (1.5% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series60.0ms (0.5%)

Memory
-30.3MiB live, 113.1MiB allocated
Counts
27 → 70
Calls
Call 1
Inputs
(-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))))
(*.f64 x x)
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)
(*.f64 #s(literal -1/180 binary64) (*.f64 x 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 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
(*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x)
(/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
(/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x)))))
(*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)
(*.f64 #s(literal 1/36 binary64) (*.f64 x x))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x))
(*.f64 #s(literal 1/216 binary64) x)
Outputs
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/81000 (pow x 4)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 4) (+ 1/81000 (* -1/2430000 (pow x 2)))) 1/180))))
1/216
(+ 1/216 (* 1/5832000 (pow x 6)))
(* 1/36 (pow x 4))
(pow x 2)
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (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
(+ 1/6 (* 1/120 (pow x 2)))
(* 36 x)
(* x (+ 36 (* -6/5 (pow x 2))))
(* x (+ 36 (* (pow x 2) (- (* 1/750 (pow x 4)) 6/5))))
(* x (+ 36 (* (pow x 2) (- (* (pow x 4) (+ 1/750 (* -1/22500 (pow x 2)))) 6/5))))
(* 36 (pow x 2))
(* (pow x 2) (+ 36 (* -6/5 (pow x 2))))
(* (pow x 2) (+ 36 (* (pow x 2) (- (* 1/750 (pow x 4)) 6/5))))
(* (pow x 2) (+ 36 (* (pow x 2) (- (* (pow x 4) (+ 1/750 (* -1/22500 (pow x 2)))) 6/5))))
(* 1/36 (pow x 2))
(* 1/120 (pow x 2))
(* 1/216 x)
(* x (+ 1/216 (* -1/5832000 (pow x 6))))
(* 1/1080 (pow x 2))
(* (pow x 2) (+ 1/1080 (* 1/36 (/ 1 (pow x 2)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/180 (pow x 4))
(* (pow x 4) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/180 (/ 300 (pow x 6))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/180 (/ 300 (pow x 6))) (+ (* 1/6 (/ 1 (pow x 2))) (* 9000 (/ 1 (pow x 8))))))
(* 1/5832000 (pow x 6))
(* (pow x 6) (+ 1/5832000 (* 1/216 (/ 1 (pow x 6)))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 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)))))
(/ 32400 (pow x 3))
(/ (- 32400 (* 972000 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 32400 (/ 874800000 (pow x 6))) (* 972000 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 32400 (/ 874800000 (pow x 6))) (+ (* 972000 (/ 1 (pow x 2))) (* 26244000000 (/ 1 (pow x 8))))) (pow x 3))
(/ 32400 (pow x 2))
(/ (- 32400 (* 972000 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 32400 (/ 874800000 (pow x 6))) (* 972000 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 32400 (/ 874800000 (pow x 6))) (+ (* 972000 (/ 1 (pow x 2))) (* 26244000000 (/ 1 (pow x 8))))) (pow x 2))
(* -1/5832000 (pow x 7))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 3) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (/ (- (* 972000 (/ 1 (pow x 2))) 32400) (pow x 3)))
(* -1 (/ (- (* 972000 (/ 1 (pow x 2))) (+ 32400 (/ 874800000 (pow x 6)))) (pow x 3)))
(* -1 (/ (- (+ (* 972000 (/ 1 (pow x 2))) (* 26244000000 (/ 1 (pow x 8)))) (+ 32400 (/ 874800000 (pow x 6)))) (pow x 3)))
(* -1/6 x)
(* -1 (* (pow x 7) (- 1/5832000 (* 1/216 (/ 1 (pow x 6))))))
Calls

3 calls:

TimeVariablePointExpression
30.0ms
x
@0
((- 1/36 (* -1/1080 (* x x))) (log (/ (sinh x) x)) (* (+ (* (pow x 6) 1/5832000) 1/216) (* (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) x)) (+ (* (pow x 6) 1/5832000) 1/216) (* (* x x) (* 1/36 (* x x))) (log (/ (sinh x) x)) (sqrt (* (* x x) (* 1/36 (* x x)))) (* x x) (+ (* (* -1/180 (* x x)) x) (sqrt (* 1/36 (* x x)))) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (sqrt (* 1/36 (* x x)))) x) (* -1/180 (* x x)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (- 1/36 (* (* x x) -1/1080)) (log (/ (sinh x) x)) (* (/ (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (+ (* (pow x 4) 1/32400) (- 1/36 (* (* x x) -1/1080)))) x) (/ (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (+ (* (pow x 4) 1/32400) (- 1/36 (* (* x x) -1/1080)))) (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) (* (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) x) (* 1/36 (* x x)) (sqrt (* 1/36 (* x x))) (* 1/120 (* x x)) (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (* 1/216 x))
14.0ms
x
@inf
((- 1/36 (* -1/1080 (* x x))) (log (/ (sinh x) x)) (* (+ (* (pow x 6) 1/5832000) 1/216) (* (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) x)) (+ (* (pow x 6) 1/5832000) 1/216) (* (* x x) (* 1/36 (* x x))) (log (/ (sinh x) x)) (sqrt (* (* x x) (* 1/36 (* x x)))) (* x x) (+ (* (* -1/180 (* x x)) x) (sqrt (* 1/36 (* x x)))) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (sqrt (* 1/36 (* x x)))) x) (* -1/180 (* x x)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (- 1/36 (* (* x x) -1/1080)) (log (/ (sinh x) x)) (* (/ (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (+ (* (pow x 4) 1/32400) (- 1/36 (* (* x x) -1/1080)))) x) (/ (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (+ (* (pow x 4) 1/32400) (- 1/36 (* (* x x) -1/1080)))) (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) (* (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) x) (* 1/36 (* x x)) (sqrt (* 1/36 (* x x))) (* 1/120 (* x x)) (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (* 1/216 x))
14.0ms
x
@-inf
((- 1/36 (* -1/1080 (* x x))) (log (/ (sinh x) x)) (* (+ (* (pow x 6) 1/5832000) 1/216) (* (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) x)) (+ (* (pow x 6) 1/5832000) 1/216) (* (* x x) (* 1/36 (* x x))) (log (/ (sinh x) x)) (sqrt (* (* x x) (* 1/36 (* x x)))) (* x x) (+ (* (* -1/180 (* x x)) x) (sqrt (* 1/36 (* x x)))) (log (/ (sinh x) x)) (* (+ (* (* -1/180 (* x x)) x) (sqrt (* 1/36 (* x x)))) x) (* -1/180 (* x x)) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) (- 1/36 (* (* x x) -1/1080)) (log (/ (sinh x) x)) (* (/ (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (+ (* (pow x 4) 1/32400) (- 1/36 (* (* x x) -1/1080)))) x) (/ (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (+ (* (pow x 4) 1/32400) (- 1/36 (* (* x x) -1/1080)))) (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) (* (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) x) (* 1/36 (* x x)) (sqrt (* 1/36 (* x x))) (* 1/120 (* x x)) (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (* 1/216 x))

simplify141.0ms (1.2%)

Memory
41.9MiB live, 226.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0202730
1608730
21712722
36229722
08183690
Stop Event
iter limit
node limit
Counts
70 → 70
Calls
Call 1
Inputs
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/81000 (pow x 4)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 4) (+ 1/81000 (* -1/2430000 (pow x 2)))) 1/180))))
1/216
(+ 1/216 (* 1/5832000 (pow x 6)))
(* 1/36 (pow x 4))
(pow x 2)
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (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
(+ 1/6 (* 1/120 (pow x 2)))
(* 36 x)
(* x (+ 36 (* -6/5 (pow x 2))))
(* x (+ 36 (* (pow x 2) (- (* 1/750 (pow x 4)) 6/5))))
(* x (+ 36 (* (pow x 2) (- (* (pow x 4) (+ 1/750 (* -1/22500 (pow x 2)))) 6/5))))
(* 36 (pow x 2))
(* (pow x 2) (+ 36 (* -6/5 (pow x 2))))
(* (pow x 2) (+ 36 (* (pow x 2) (- (* 1/750 (pow x 4)) 6/5))))
(* (pow x 2) (+ 36 (* (pow x 2) (- (* (pow x 4) (+ 1/750 (* -1/22500 (pow x 2)))) 6/5))))
(* 1/36 (pow x 2))
(* 1/120 (pow x 2))
(* 1/216 x)
(* x (+ 1/216 (* -1/5832000 (pow x 6))))
(* 1/1080 (pow x 2))
(* (pow x 2) (+ 1/1080 (* 1/36 (/ 1 (pow x 2)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(* 1/180 (pow x 4))
(* (pow x 4) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/180 (/ 300 (pow x 6))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/180 (/ 300 (pow x 6))) (+ (* 1/6 (/ 1 (pow x 2))) (* 9000 (/ 1 (pow x 8))))))
(* 1/5832000 (pow x 6))
(* (pow x 6) (+ 1/5832000 (* 1/216 (/ 1 (pow x 6)))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 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)))))
(/ 32400 (pow x 3))
(/ (- 32400 (* 972000 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 32400 (/ 874800000 (pow x 6))) (* 972000 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 32400 (/ 874800000 (pow x 6))) (+ (* 972000 (/ 1 (pow x 2))) (* 26244000000 (/ 1 (pow x 8))))) (pow x 3))
(/ 32400 (pow x 2))
(/ (- 32400 (* 972000 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 32400 (/ 874800000 (pow x 6))) (* 972000 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 32400 (/ 874800000 (pow x 6))) (+ (* 972000 (/ 1 (pow x 2))) (* 26244000000 (/ 1 (pow x 8))))) (pow x 2))
(* -1/5832000 (pow x 7))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* -1 (* (pow x 3) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (/ (- (* 972000 (/ 1 (pow x 2))) 32400) (pow x 3)))
(* -1 (/ (- (* 972000 (/ 1 (pow x 2))) (+ 32400 (/ 874800000 (pow x 6)))) (pow x 3)))
(* -1 (/ (- (+ (* 972000 (/ 1 (pow x 2))) (* 26244000000 (/ 1 (pow x 8)))) (+ 32400 (/ 874800000 (pow x 6)))) (pow x 3)))
(* -1/6 x)
(* -1 (* (pow x 7) (- 1/5832000 (* 1/216 (/ 1 (pow x 6))))))
Outputs
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* 1/1080 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/1080 binary64) #s(literal 1/36 binary64))
(* 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 (*.f64 #s(literal 1/2835 binary64) x) x (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/37800 binary64)) #s(literal 1/180 binary64))) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/81000 (pow x 4)) 1/180))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81000 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 4) (+ 1/81000 (* -1/2430000 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2430000 binary64) (*.f64 x x) #s(literal 1/81000 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
1/216
#s(literal 1/216 binary64)
(+ 1/216 (* 1/5832000 (pow x 6)))
(fma.f64 #s(literal 1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))
(* 1/36 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(pow x 2)
(*.f64 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)
(* -1/180 (pow x 2))
(*.f64 #s(literal -1/180 binary64) (*.f64 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 (*.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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 36 x)
(*.f64 #s(literal 36 binary64) x)
(* x (+ 36 (* -6/5 (pow x 2))))
(*.f64 (fma.f64 #s(literal -6/5 binary64) (*.f64 x x) #s(literal 36 binary64)) x)
(* x (+ 36 (* (pow x 2) (- (* 1/750 (pow x 4)) 6/5))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/750 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6/5 binary64)) (*.f64 x x) #s(literal 36 binary64)) x)
(* x (+ 36 (* (pow x 2) (- (* (pow x 4) (+ 1/750 (* -1/22500 (pow x 2)))) 6/5))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/22500 binary64) (*.f64 x x) #s(literal 1/750 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6/5 binary64)) (*.f64 x x) #s(literal 36 binary64)) x)
(* 36 (pow x 2))
(*.f64 (*.f64 #s(literal 36 binary64) x) x)
(* (pow x 2) (+ 36 (* -6/5 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -6/5 binary64) (*.f64 x x) #s(literal 36 binary64)) x) x)
(* (pow x 2) (+ 36 (* (pow x 2) (- (* 1/750 (pow x 4)) 6/5))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/750 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6/5 binary64)) (*.f64 x x) #s(literal 36 binary64)) x) x)
(* (pow x 2) (+ 36 (* (pow x 2) (- (* (pow x 4) (+ 1/750 (* -1/22500 (pow x 2)))) 6/5))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/22500 binary64) (*.f64 x x) #s(literal 1/750 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6/5 binary64)) (*.f64 x x) #s(literal 36 binary64)) x) x)
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* 1/216 x)
(*.f64 #s(literal 1/216 binary64) x)
(* x (+ 1/216 (* -1/5832000 (pow x 6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64) #s(literal 1/216 binary64)) x)
(* 1/1080 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/1080 binary64))
(* (pow x 2) (+ 1/1080 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/1080 binary64) #s(literal 1/36 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))))
(* 1/180 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/180 binary64))
(* (pow x 4) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/180 (/ 300 (pow x 6))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 300 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/180 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/180 (/ 300 (pow x 6))) (+ (* 1/6 (/ 1 (pow x 2))) (* 9000 (/ 1 (pow x 8))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 300 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/180 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 9000 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* 1/5832000 (pow x 6))
(*.f64 #s(literal 1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/5832000 (* 1/216 (/ 1 (pow x 6)))))
(fma.f64 #s(literal 1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))
(* -1/180 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -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)))
(* 1/2 (/ (- (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))
(/ 32400 (pow x 3))
(/.f64 #s(literal 32400 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- 32400 (* 972000 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 32400 binary64) (/.f64 #s(literal 972000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 32400 (/ 874800000 (pow x 6))) (* 972000 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 874800000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 972000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 32400 (/ 874800000 (pow x 6))) (+ (* 972000 (/ 1 (pow x 2))) (* 26244000000 (/ 1 (pow x 8))))) (pow x 3))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 874800000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 972000 binary64) (*.f64 x x))) (/.f64 #s(literal 26244000000 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ 32400 (pow x 2))
(/.f64 #s(literal 32400 binary64) (*.f64 x x))
(/ (- 32400 (* 972000 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 32400 binary64) (/.f64 #s(literal 972000 binary64) (*.f64 x x))) x) x)
(/ (- (+ 32400 (/ 874800000 (pow x 6))) (* 972000 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 874800000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 972000 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 32400 (/ 874800000 (pow x 6))) (+ (* 972000 (/ 1 (pow x 2))) (* 26244000000 (/ 1 (pow x 8))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 874800000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 972000 binary64) (*.f64 x x))) (/.f64 #s(literal 26244000000 binary64) (pow.f64 x #s(literal 8 binary64)))) (*.f64 x x))
(* -1/5832000 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5832000 binary64))
(* (pow x 7) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))
(*.f64 (-.f64 (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/5832000 binary64)) (pow.f64 x #s(literal 7 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 3) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/6 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/180 binary64)))
(* -1 (* (pow x 4) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (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 (/ (- (* 972000 (/ 1 (pow x 2))) 32400) (pow x 3)))
(/.f64 (-.f64 (/.f64 #s(literal 972000 binary64) (*.f64 x x)) #s(literal 32400 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (/ (- (* 972000 (/ 1 (pow x 2))) (+ 32400 (/ 874800000 (pow x 6)))) (pow x 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 972000 binary64) (*.f64 x x)) #s(literal 32400 binary64)) (/.f64 #s(literal 874800000 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (/ (- (+ (* 972000 (/ 1 (pow x 2))) (* 26244000000 (/ 1 (pow x 8)))) (+ 32400 (/ 874800000 (pow x 6)))) (pow x 3)))
(/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 26244000000 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 32400 binary64)) (/.f64 #s(literal 874800000 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal -972000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1 (* (pow x 7) (- 1/5832000 (* 1/216 (/ 1 (pow x 6))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/216 binary64) #s(literal -1/5832000 binary64)) (pow.f64 x #s(literal 7 binary64)))

rewrite194.0ms (1.6%)

Memory
-16.9MiB live, 226.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056392
087392
1306369
21765359
09016343
Stop Event
iter limit
node limit
iter limit
Counts
27 → 496
Calls
Call 1
Inputs
(-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))))
(*.f64 x x)
(fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)
(*.f64 #s(literal -1/180 binary64) (*.f64 x 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 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
(*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x)
(/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64)))))
(/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x)))))
(*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)
(*.f64 #s(literal 1/36 binary64) (*.f64 x x))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x))
(*.f64 #s(literal 1/216 binary64) x)
Outputs
(/.f64 (-.f64 #s(literal 1/46656 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -1/1080 binary64))) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/1296 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -1/1080 binary64))) x) (*.f64 (neg.f64 (*.f64 x #s(literal -1/1080 binary64))) x) (*.f64 #s(literal 1/36 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal -1/1080 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (*.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal -1/38880 binary64) (*.f64 x x) (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/1259712000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal -1/38880 binary64) (*.f64 x x) (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal -1/38880 binary64) (*.f64 x x) (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal -1/38880 binary64) (*.f64 x x) (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/1259712000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal -1/38880 binary64) (*.f64 x x) (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (/.f64 (*.f64 #s(literal -1/1259712000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal -1/38880 binary64) (*.f64 x x) (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (*.f64 (/.f64 #s(literal 1/46656 binary64) (+.f64 (fma.f64 #s(literal -1/38880 binary64) (*.f64 x x) (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64))) (/.f64 (*.f64 #s(literal -1/1259712000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal -1/38880 binary64) (*.f64 x x) (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/1296 binary64)))))))
(/.f64 (fma.f64 #s(literal -1/1259712000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656 binary64)) (fma.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (*.f64 #s(literal -1/38880 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 #s(literal 1/1259712000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656 binary64)) (fma.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 #s(literal 1/1080 binary64) (*.f64 x x)) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 #s(literal 1/46656 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -1/1080 binary64))) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/1296 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -1/1080 binary64))) x) (*.f64 (neg.f64 (*.f64 x #s(literal -1/1080 binary64))) x)) (*.f64 #s(literal 1/36 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal -1/1080 binary64))) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal -1/1259712000 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1/1296 binary64) (-.f64 (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/38880 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/1259712000 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1/1296 binary64) (-.f64 (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/1080 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 #s(literal 1/1166400 binary64) (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)))))
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(/.f64 (*.f64 x x) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64))))))
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(exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) x)))
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(*.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(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x))
(*.f64 #s(literal 1/216 binary64) x)
(*.f64 x #s(literal 1/216 binary64))

eval171.0ms (1.4%)

Memory
-26.0MiB live, 166.7MiB allocated
Compiler

Compiled 22 895 to 2 801 computations (87.8% saved)

prune33.0ms (0.3%)

Memory
17.2MiB live, 66.1MiB allocated
Pruning

27 alts after pruning (15 fresh and 12 done)

PrunedKeptTotal
New6088616
Fresh3710
Picked235
Done1910
Total61427641
Accuracy
97.0%
Counts
641 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.4%
(log.f64 (/.f64 (sinh.f64 x) x))
3.2%
(log.f64 (-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) x) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x)))
46.9%
(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))))
46.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
46.8%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
45.9%
(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))))
95.4%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)))))
95.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 #s(approx (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) (*.f64 #s(literal 36 binary64) x)) x)))
95.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 x))) x))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) x))
95.2%
#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))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
95.1%
#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))
95.6%
#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) x))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.1%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/6 binary64) x)) (sqrt.f64 x)))
95.3%
#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))
95.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
77.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/36 binary64)))) (sqrt.f64 x)))
34.8%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/180 binary64)))) x))
34.8%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) x))
52.1%
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) (*.f64 x x))) x))
67.7%
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/36 binary64))))
67.6%
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))))
67.6%
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/36 binary64))) x)))
67.7%
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)))))
67.7%
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
Compiler

Compiled 1 384 to 617 computations (55.4% saved)

regimes28.0ms (0.2%)

Memory
-9.6MiB live, 35.5MiB allocated
Counts
37 → 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 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/36 binary64))) x)))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))))
#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)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/6 binary64) x)) (sqrt.f64 x)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) (*.f64 x 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 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/36 binary64)))) (sqrt.f64 x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 x))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) 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)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/36 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 #s(approx (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) (*.f64 #s(literal 36 binary64) x)) x)))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) 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 (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/180 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) 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 6 binary64)) #s(literal 1/32400 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) x) (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64)))
(log.f64 (/.f64 (sinh.f64 x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x 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))))))
(log.f64 (-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) x) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) x)))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)))
Calls

3 calls:

10.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
9.0ms
x
7.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
95.6%1(/.f64 (sinh.f64 x) x)
95.6%1(log.f64 (/.f64 (sinh.f64 x) x))
95.6%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes22.0ms (0.2%)

Memory
27.8MiB live, 27.8MiB allocated
Counts
34 → 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 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/36 binary64))) x)))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))))
#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)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/6 binary64) x)) (sqrt.f64 x)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) (*.f64 x 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 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/36 binary64)))) (sqrt.f64 x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 x))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) 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)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/36 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 #s(approx (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) (*.f64 #s(literal 36 binary64) x)) x)))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) 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 (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/180 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) 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 6 binary64)) #s(literal 1/32400 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x))) x) (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64)))
(log.f64 (/.f64 (sinh.f64 x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) x))
Calls

3 calls:

8.0ms
x
6.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
6.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
95.6%1(/.f64 (sinh.f64 x) x)
95.6%1(log.f64 (/.f64 (sinh.f64 x) x))
95.6%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes55.0ms (0.5%)

Memory
-25.0MiB live, 21.0MiB allocated
Counts
28 → 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 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/36 binary64))) x)))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))))
#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)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/6 binary64) x)) (sqrt.f64 x)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) (*.f64 x 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 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/36 binary64)))) (sqrt.f64 x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 (*.f64 (sqrt.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 x))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) 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)) (sqrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1/36 binary64))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(approx (+ (* 1/120 (* x x)) 1/6) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 #s(approx (/ x (+ (* 1/32400 (pow x 4)) (- 1/36 (* -1/1080 (* x x))))) (*.f64 #s(literal 36 binary64) x)) x)))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* -1/180 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/180 binary64)))) 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 (log (/ (sinh x) x)) (*.f64 #s(approx (* (+ (* -1/180 (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/180 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (fma.f64 #s(literal 1/1080 binary64) (*.f64 x x) #s(literal 1/36 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))
Calls

3 calls:

41.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
7.0ms
x
5.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
95.6%1(/.f64 (sinh.f64 x) x)
95.6%1(log.f64 (/.f64 (sinh.f64 x) x))
95.6%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)))))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/36 binary64))) x)))
#s(approx (log (/ (sinh x) x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Calls

3 calls:

2.0ms
x
2.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
95.3%1(/.f64 (sinh.f64 x) x)
95.3%1(log.f64 (/.f64 (sinh.f64 x) x))
95.3%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
95.2%1x
95.2%1(/.f64 (sinh.f64 x) x)
95.2%1(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify47.0ms (0.4%)

Memory
-8.7MiB live, 41.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055121
186121
2180121
3353121
4752121
52652121
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) 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 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64) #s(literal 1/216 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 1/32400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/1080 binary64) (*.f64 x x))))) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(approx (* (+ (* -1/5832000 (pow x 6)) 1/216) x) (*.f64 #s(literal 1/216 binary64) x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/1080 binary64))))) 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 (*.f64 #s(approx (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

soundness950.0ms (7.9%)

Memory
22.1MiB live, 590.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108382
1275382
2655382
32123380
46272380
08727369
059187
1186187
2548181
32333181
46693181
08015165
030207
049207
1167207
21110207
08238207
0108430
1308430
2820430
32893430
08309409
054327
082288
1266286
21775286
08379273
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 221 to 129 computations (41.6% saved)

preprocess64.0ms (0.5%)

Memory
-6.2MiB live, 126.0MiB allocated
Remove

(abs x)

Compiler

Compiled 370 to 206 computations (44.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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