bug500, discussion (missed optimization)

Time bar (total: 12.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze106.0ms (0.8%)

Memory
0.4MiB live, 113.5MiB 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)

sample4.0s (32.2%)

Memory
70.0MiB live, 3 502.7MiB allocated
Samples
2.1s5 499×2valid
762.0ms7 843×1exit
325.0ms2 379×1valid
22.0ms378×0valid
1.0ms5exit
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-log: 1.3s (50.1% of total)
ival-sinh: 740.0ms (29.6% of total)
adjust: 252.0ms (10.1% of total)
ival-div: 238.0ms (9.5% of total)
ival-true: 13.0ms (0.5% of total)
ival-assert: 6.0ms (0.2% of total)
Bogosity

explain189.0ms (1.5%)

Memory
-17.0MiB live, 241.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
141112(5.454377385569824e-170)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))sensitivity2460
log.f64(log.f64 (/.f64 (sinh.f64 x) x))oflow-rescue70
(sinh.f64 x)overflow7
(/.f64 (sinh.f64 x) x)overflow7
Confusion
Predicted +Predicted -
+1410
-1123
Precision
0.5573122529644269
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14100
-11203
Precision?
0.5573122529644269
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
114.0ms322×2valid
33.0ms160×1valid
2.0ms30×0valid
Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-log: 67.0ms (52.2% of total)
ival-sinh: 43.0ms (33.5% of total)
ival-div: 11.0ms (8.6% of total)
adjust: 7.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess196.0ms (1.6%)

Memory
-9.3MiB live, 103.8MiB allocated
Algorithm
egg-herbie
Rules
1 072×lower-fma.f64
1 072×lower-fma.f32
784×lower-*.f64
784×lower-*.f32
648×times-frac
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(log.f64 (/.f64 (sinh.f64 x) x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify102.0ms (0.8%)

Memory
-8.5MiB live, 34.6MiB 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))
Rules
1 072×lower-fma.f64
1 072×lower-fma.f32
784×lower-*.f64
784×lower-*.f32
584×div-sub
Iterations

Useful iterations: 0 (0.0ms)

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

localize101.0ms (0.8%)

Memory
-7.6MiB live, 66.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (sinh.f64 x) x)
accuracy0.0078125
(sinh.f64 x)
accuracy31.655954996012643
(log.f64 (/.f64 (sinh.f64 x) x))
Samples
59.0ms161×2valid
29.0ms80×1valid
1.0ms15×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-log: 31.0ms (51.6% of total)
ival-sinh: 20.0ms (33.3% of total)
ival-div: 5.0ms (8.3% of total)
adjust: 3.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series70.0ms (0.6%)

Memory
2.8MiB live, 84.5MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
34.0ms
x
@inf
(log (/ (sinh x) x))
34.0ms
x
@-inf
(log (/ (sinh x) x))
2.0ms
x
@0
(log (/ (sinh x) x))
0.0ms
x
@0
(/ (sinh x) x)
0.0ms
x
@0
(sinh x)

simplify407.0ms (3.3%)

Memory
1.6MiB live, 196.5MiB allocated
Algorithm
egg-herbie
Rules
16 092×lower-fma.f64
16 092×lower-fma.f32
4 562×lower-*.f64
4 562×lower-*.f32
2 156×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059394
1157390
2395384
31186384
42106384
53935384
64551380
74952380
86424380
08057362
Stop Event
iter limit
node limit
Counts
36 → 35
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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
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))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1/2 binary64))) (log.f64 (neg.f64 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))
(* 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))) 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))) 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))) 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))) 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))) 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))) 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))) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))

rewrite160.0ms (1.3%)

Memory
9.6MiB live, 128.5MiB allocated
Rules
4 024×lower-*.f64
4 024×lower-*.f32
3 684×lower-/.f32
3 682×lower-/.f64
2 016×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0411
0711
12311
212411
393111
0854911
Stop Event
iter limit
node limit
iter limit
Counts
3 → 444
Calls
Call 1
Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 x)
Outputs
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x)))))
(*.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))))
(*.f64 (*.f64 (log.f64 (*.f64 x (sinh.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 x (sinh.f64 x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))
(*.f64 (*.f64 (log.f64 (*.f64 x (sinh.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (sinh.f64 x)))))
(*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 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 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))))
(*.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))))) (log.f64 (/.f64 x (sinh.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (+.f64 x x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))) (-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (sinh.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (fma.f64 (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x))) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (neg.f64 x) (sinh.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x 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 x x)) (log.f64 (+.f64 x x)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (log.f64 (+.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) (*.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) (log.f64 (/.f64 (sinh.f64 x) x)))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x)))) (neg.f64 (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (sinh.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (sinh.f64 x))) #s(literal 2 binary64)))) (log.f64 (*.f64 x (sinh.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (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 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (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)) (log.f64 (*.f64 x (sinh.f64 x)))) (*.f64 (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 x (sinh.f64 x))) (log.f64 (*.f64 x (sinh.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 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 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (log.f64 (/.f64 x (sinh.f64 x))))
(/.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x))) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))))
(/.f64 (*.f64 (log.f64 (*.f64 x (sinh.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))) (neg.f64 (log.f64 (*.f64 x (sinh.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (sinh.f64 x))) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))
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eval82.0ms (0.7%)

Memory
14.8MiB live, 87.1MiB allocated
Compiler

Compiled 9 124 to 1 601 computations (82.5% saved)

prune80.0ms (0.6%)

Memory
3.1MiB live, 126.5MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4709479
Fresh000
Picked011
Done000
Total47010480
Accuracy
97.4%
Counts
480 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.9%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
50.5%
(+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))))
50.5%
(log.f64 (/.f64 (sinh.f64 x) x))
49.9%
(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))))
49.8%
(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))))
49.5%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))))
96.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.7%
#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 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 252 to 138 computations (45.2% saved)

simplify151.0ms (1.2%)

Memory
1.6MiB live, 119.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 x)
cost-diff0
(sinh.f64 x)
cost-diff0
(log.f64 (sinh.f64 x))
cost-diff0
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
cost-diff0
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Rules
5 902×lower-fma.f32
5 888×lower-fma.f64
2 972×lower-*.f32
2 960×lower-*.f64
2 346×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032270
057270
1104270
2186270
3449270
41015270
51735270
62184270
72733270
83270270
93881270
104073270
114421270
127283270
08140270
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (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)
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(log.f64 (sinh.f64 x))
(sinh.f64 x)
x
(log.f64 x)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (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)
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(log.f64 (sinh.f64 x))
(sinh.f64 x)
x
(log.f64 x)

localize547.0ms (4.4%)

Memory
-147.4MiB live, 382.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 x)
accuracy0.00390625
(sinh.f64 x)
accuracy1.452518696528383
(log.f64 (sinh.f64 x))
accuracy15.835325544743997
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64))
accuracy0.015625
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy1.6537198060961664
#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)))
accuracy17.238658670345668
(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))))
accuracy0.0234375
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
accuracy0.078125
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy0.19921875
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy1.6176146063530334
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy0
(*.f64 x x)
accuracy0.12109375
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
accuracy1.9656160828888836
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.017910009768442016
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
accuracy0.07421875
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy0.203125
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy1.5666580683357967
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Samples
376.0ms92×2valid
83.0ms113×0invalid
25.0ms40×1valid
3.0ms11×0valid
Compiler

Compiled 227 to 35 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 205.0ms
const: 60.0ms (29.3% of total)
ival-log: 56.0ms (27.3% of total)
ival-sinh: 32.0ms (15.6% of total)
ival-mult: 26.0ms (12.7% of total)
adjust: 14.0ms (6.8% of total)
ival-add: 11.0ms (5.4% of total)
ival-div: 4.0ms (2% of total)
ival-sub: 2.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series97.0ms (0.8%)

Memory
30.3MiB live, 143.5MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) (patch (-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) #<representation binary64>) () ())
#s(alt (log.f64 (sinh.f64 x)) (patch (log.f64 (sinh.f64 x)) #<representation binary64>) () ())
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (patch (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 6)) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 6)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 5)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1/37800 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (patch (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) #<representation binary64>) () ())) ())
Calls

63 calls:

TimeVariablePointExpression
56.0ms
x
@-inf
(- (log (sinh x)) (log x))
20.0ms
x
@inf
(- (log (sinh x)) (log x))
6.0ms
x
@0
(log x)
1.0ms
x
@0
(- (log (sinh x)) (log x))
1.0ms
x
@inf
(* (* (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) x) x)

simplify264.0ms (2.1%)

Memory
-14.6MiB live, 182.4MiB allocated
Algorithm
egg-herbie
Rules
17 322×lower-fma.f64
17 322×lower-fma.f32
4 034×lower-+.f64
4 034×lower-+.f32
3 756×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01462572
13982544
210572538
331092538
471832538
080492409
Stop Event
iter limit
node limit
Counts
252 → 251
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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 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) (- (* 1/2835 (pow x 2)) 1/180))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -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 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 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))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/6 (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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (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)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 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 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (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))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (+ (log -1) (* -1 (log (/ -1 x)))))
(log x)
(+ (log x) (* 1/6 (pow x 2)))
(+ (log x) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))
(+ (log x) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
(log (* 1/2 (- (exp x) (/ 1 (exp x)))))
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))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(- (* 1/2835 (pow x 2)) 1/180)
(- (* 1/2835 (pow x 2)) 1/180)
(* 1/2835 (pow x 2))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 2))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/2835 (pow x 6))
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(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* -1/37800 (pow x 2))
(*.f64 #s(literal -1/37800 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* -1/37800 (pow x 2))
(*.f64 #s(literal -1/37800 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))

rewrite246.0ms (2%)

Memory
-10.0MiB live, 160.0MiB allocated
Rules
4 866×lower-*.f32
4 854×lower-*.f64
4 498×lower-/.f64
4 498×lower-/.f32
3 986×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032234
057233
1208233
21383233
08137233
Stop Event
iter limit
node limit
iter limit
Counts
21 → 442
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (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 (log.f64 (sinh.f64 x)) (log.f64 x))
(log.f64 (sinh.f64 x))
(sinh.f64 x)
(log.f64 x)
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))))
(*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x))) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) x)) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))) (fma.f64 (*.f64 #s(literal -1/54010152000000 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1/22785532875 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))))
(fma.f64 (*.f64 #s(literal -1/37800 binary64) x) x #s(literal 1/2835 binary64))
(fma.f64 (*.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (neg.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(fma.f64 x (*.f64 #s(literal -1/37800 binary64) x) #s(literal 1/2835 binary64))
(-.f64 (/.f64 #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/1428840000 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64))) (neg.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal -1/2835 binary64)))))
(+.f64 (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)) #s(literal 1/2835 binary64))
(+.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal -1/37800 binary64) (*.f64 x x)))

eval228.0ms (1.8%)

Memory
6.1MiB live, 123.6MiB allocated
Compiler

Compiled 24 717 to 2 127 computations (91.4% saved)

prune314.0ms (2.5%)

Memory
-11.5MiB live, 151.7MiB allocated
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New80514819
Fresh224
Picked145
Done011
Total80821829
Accuracy
97.6%
Counts
829 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.9%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
28.9%
(-.f64 (log.f64 #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) (log.f64 x))
50.5%
(+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))))
50.5%
(log.f64 (/.f64 (sinh.f64 x) x))
49.9%
(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))))
49.8%
(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))))
49.5%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
2.3%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
2.0%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))))
95.7%
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.1%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))))
96.2%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
96.2%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
95.4%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x))
96.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
96.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
28.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x))
95.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 922 to 388 computations (57.9% saved)

simplify163.0ms (1.3%)

Memory
14.5MiB live, 131.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
cost-diff128
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))
cost-diff1664
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)
cost-diff0
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))
cost-diff0
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)))
cost-diff0
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))))
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x))
cost-diff640
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
cost-diff1792
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
cost-diff0
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 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 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
Rules
7 154×lower-fma.f32
7 144×lower-fma.f64
5 028×lower-*.f32
4 988×lower-*.f64
2 006×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0691018
0112997
1227835
2550759
32388730
46099724
08402701
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x)
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 #s(literal -1/180 binary64) x)
#s(literal -1/180 binary64)
x
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(literal 1/6 binary64)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal -1/2835 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))
#s(literal 1/36 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
(*.f64 (*.f64 x x) x)
#s(literal 1/216 binary64)
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))
(*.f64 x x)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (*.f64 x x)))
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (*.f64 x x))
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x)
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) x)
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))))
#s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal -1/180 binary64) x)
#s(literal -1/180 binary64)
x
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) x) x #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(literal 1/6 binary64)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal -1/2835 binary64)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)
(*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x) x)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64))
(*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2835 binary64) (*.f64 x x) #s(literal 1/180 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/216 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))) x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/216 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))
(*.f64 (*.f64 x x) x)
#s(literal 1/216 binary64)

localize436.0ms (3.5%)

Memory
10.9MiB live, 808.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2998237793053261
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
accuracy0.3515625
(*.f64 #s(literal 1/6 binary64) x)
accuracy0.6611922210851043
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))
accuracy2.234868006563583
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
accuracy0.12890625
(*.f64 (*.f64 x x) x)
accuracy2.3603558724966347
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)))
accuracy31.655954996012643
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))))
accuracy60.31130620115096
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))
accuracy0.22265625
(*.f64 #s(literal -1/180 binary64) x)
accuracy0.36328125
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x)
accuracy2.234868006563583
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x))
accuracy42.506951369661316
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
accuracy0.15234375
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy0.359375
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy2.356455895669612
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy3.091661151707934
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy0.01953125
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.037441259768442016
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.15234375
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
accuracy2.234868006563583
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
Samples
245.0ms161×2valid
86.0ms80×1valid
8.0ms15×0valid
Compiler

Compiled 768 to 66 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 277.0ms
ival-mult: 89.0ms (32.1% of total)
adjust: 46.0ms (16.6% of total)
const: 38.0ms (13.7% of total)
ival-log: 34.0ms (12.3% of total)
ival-add: 26.0ms (9.4% of total)
ival-sinh: 20.0ms (7.2% of total)
ival-div: 19.0ms (6.9% of total)
ival-sub: 4.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
6.3MiB live, 43.6MiB allocated
Counts
26 → 312
Calls
Call 1
Inputs
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) (patch (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) (patch (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) (patch (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) (patch #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (patch (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (patch (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x) (patch (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)))) (patch (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))) (patch #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x) (patch (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x) #<representation binary64>) () ())
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#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 5)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 5)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) #<representation binary64>) () ())) ())
Calls

78 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ 1 (/ (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (* x x) x)) 1/216) (* x x))))
1.0ms
x
@0
(* (- (/ 1/6 (* (* (* x x) x) x)) -1/2835) (* (* (* x x) x) x))
1.0ms
x
@0
(/ 1 (/ (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (* x x) x)) 1/216) (* x x))))
0.0ms
x
@inf
(+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x))))
0.0ms
x
@inf
(* (- (/ 1/6 (* (* (* x x) x) x)) -1/2835) (* (* (* x x) x) x))

simplify276.0ms (2.2%)

Memory
-22.9MiB live, 131.2MiB allocated
Algorithm
egg-herbie
Rules
13 596×lower-fma.f64
13 596×lower-fma.f32
4 452×lower-+.f64
4 452×lower-+.f32
4 152×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02353390
16113366
215133318
337033302
080453161
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -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 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* 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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 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) (- (* 1/2835 (pow x 2)) 1/180))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(* 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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 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))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
1/6
(+ 1/6 (* 1/2835 (pow x 4)))
(+ 1/6 (* 1/2835 (pow x 4)))
(+ 1/6 (* 1/2835 (pow x 4)))
(* 1/2835 (pow x 4))
(* (pow x 4) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/2835 (* 1/6 (/ 1 (pow x 4)))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 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) (- (* 1/2835 (pow x 2)) 1/180))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (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)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 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 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
(* 1/120 (pow x 4))
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400)))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (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) (- (* 1/2835 (pow x 2)) 1/180))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -1/17010 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -1/17010 (pow x 2)))))
(* -1/17010 (pow x 4))
(* (pow x 4) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010))
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010))
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010))
(* -1/17010 (pow x 4))
(* (pow x 4) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010))
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010))
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))) 1/17010))
(* 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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -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 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(* -1/180 x)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/32400 (pow x 2))
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(* 1/8037225 (pow x 6))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* 1/8037225 (pow x 6))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
Outputs
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 1/2835 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2835 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2835 binary64))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(*.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (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 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (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 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 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 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (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))))))
(+ (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))))))
(+ (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))))))
(+ (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))))))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 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 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))))
6
#s(literal 6 binary64)
(+ 6 (* 1/5 (pow x 2)))
(fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -59/94500 binary64) (*.f64 x x) #s(literal -19/3150 binary64)) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(/ 2835 (pow x 4))
(/.f64 #s(literal 2835 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (/.f64 #s(literal 10180485/16 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1991624355/64 binary64) (*.f64 x x)) #s(literal 10180485/16 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/ 2835 (pow x 4))
(/.f64 #s(literal 2835 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (/.f64 #s(literal 10180485/16 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) #s(literal 2835 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1991624355/64 binary64) (*.f64 x x)) #s(literal 10180485/16 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) (log.f64 x))
(+ (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))))))
(+ (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))))))
(+ (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))))))
(+ (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))))))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* -1/37800 (pow x 8))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/37800 binary64))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(* -1/37800 (pow x 8))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/37800 binary64))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -1/37800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/37800 binary64))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))))
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(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/32400 (pow x 2))
(*.f64 #s(literal 1/32400 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/255150 binary64) (*.f64 x x) #s(literal 1/32400 binary64)) x) x)
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64)) (*.f64 x x) #s(literal 1/32400 binary64)) x) x)
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/8037225 binary64) (*.f64 x x) #s(literal -1/255150 binary64)) (*.f64 x x) #s(literal 1/32400 binary64)) x) x)
(* 1/8037225 (pow x 6))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/8037225 (pow x 6))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/8037225 binary64)) (/.f64 #s(literal 1/255150 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))

rewrite349.0ms (2.8%)

Memory
18.2MiB live, 180.2MiB allocated
Rules
4 512×lower-*.f32
4 472×lower-*.f64
3 744×lower-fma.f32
3 734×lower-fma.f64
3 690×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069674
0111515
1451469
22953469
08269445
Stop Event
iter limit
node limit
iter limit
Counts
26 → 467
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))
(fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x)
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))))
#s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)))
#s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x)
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x)
(*.f64 #s(literal -1/180 binary64) x)
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
Outputs
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) x)) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x) #s(literal 1/36 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) x)) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/36 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) x) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x) #s(literal 1/36 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) (fma.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) x) #s(literal 1/36 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64))) x))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)))))
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eval217.0ms (1.7%)

Memory
14.7MiB live, 129.3MiB allocated
Compiler

Compiled 41 349 to 2 164 computations (94.8% saved)

prune387.0ms (3.1%)

Memory
-0.7MiB live, 163.0MiB allocated
Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New8447851
Fresh2911
Picked325
Done055
Total84923872
Accuracy
97.6%
Counts
872 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.9%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
28.9%
(-.f64 (log.f64 #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) (log.f64 x))
50.5%
(+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))))
50.5%
(log.f64 (/.f64 (sinh.f64 x) x))
49.9%
(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))))
49.8%
(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))))
49.5%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
2.3%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
2.0%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))))
95.7%
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.2%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
96.2%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
96.1%
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x))))
94.3%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
96.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
95.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
96.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
28.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (*.f64 x (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x)))) x) x))
95.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
15.9%
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))))
Compiler

Compiled 763 to 371 computations (51.4% saved)

simplify240.0ms (1.9%)

Memory
7.2MiB live, 119.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
cost-diff0
#s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))
cost-diff0
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))))
cost-diff4864
(pow.f64 x #s(literal 6 binary64))
cost-diff0
#s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))
cost-diff0
(/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))
cost-diff0
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))))
cost-diff0
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
cost-diff0
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff0
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
cost-diff1088
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
Rules
14 124×lower-fma.f32
14 114×lower-fma.f64
4 618×lower-+.f32
4 616×lower-+.f64
4 300×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077987
0119987
1236835
2603763
32800742
45360742
09117725
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))))
x
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64))
#s(literal -19/3150 binary64)
(*.f64 x x)
#s(literal 1/5 binary64)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))
#s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(*.f64 (*.f64 x x) x)
#s(literal 1/216 binary64)
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))))
#s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64)))
(-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
(/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))
(/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(literal 1/180 binary64)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
#s(literal 1/37800 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))
Outputs
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))
x
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))))
x
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))
(fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64))
#s(literal -19/3150 binary64)
(*.f64 x x)
#s(literal 1/5 binary64)
#s(literal 6 binary64)
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) (*.f64 x x)) #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) (*.f64 x x)) #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) (*.f64 x x)))
#s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/216 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))
(*.f64 x x)
x
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(*.f64 (*.f64 x x) x)
#s(literal 1/216 binary64)
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) (-.f64 (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (/.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))))))
#s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))
#s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) (-.f64 (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (/.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x)) (-.f64 (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (/.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))))
(-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64)))
(-.f64 (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (/.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))
(-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))
(-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
#s(literal 1/2835 binary64)
(*.f64 x x)
x
(/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 6 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)
#s(literal 6 binary64)
(+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))
(-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/37800 binary64))
(/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(literal 1/180 binary64)
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) x)
#s(literal 1/37800 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x))

localize1.0s (8.2%)

Memory
-6.9MiB live, 555.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2804469369779301
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
accuracy2.356455895669612
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))))
accuracy34.88281250000001
(-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64)))
accuracy50.516121753444864
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
accuracy0.2998237793053261
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
accuracy0.6611922210851043
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))
accuracy2.234868006563583
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
accuracy2.9498114299424962
#s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))
accuracy0.029628759768442016
(fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64))
accuracy0.15234375
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)
accuracy2.234868006563583
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
accuracy2.4150469765867717
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))
accuracy0.01171875
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy0.15234375
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)
accuracy2.234868006563583
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
accuracy2.904384590986689
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))
accuracy0.01953125
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.037441259768442016
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.1796875
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
accuracy2.234868006563583
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
Samples
741.0ms161×2valid
104.0ms80×1valid
8.0ms15×0valid
Compiler

Compiled 744 to 66 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 624.0ms
ival-sinh: 200.0ms (32.1% of total)
ival-log: 131.0ms (21% of total)
const: 80.0ms (12.8% of total)
ival-mult: 69.0ms (11.1% of total)
ival-div: 48.0ms (7.7% of total)
adjust: 38.0ms (6.1% of total)
ival-sub: 29.0ms (4.7% of total)
ival-add: 20.0ms (3.2% of total)
ival-pow: 8.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.2%)

Memory
2.8MiB live, 41.2MiB allocated
Counts
25 → 300
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) (patch (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))) (patch (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (patch #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 6 binary64)) (patch (pow.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) (patch #s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))) (patch #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) (patch (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (patch (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (patch (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (patch (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (patch (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 6)) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2835 (pow x 6)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) (patch (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2835 (pow x 4)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 6)) (taylor 0 x) (#s(alt (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (patch (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) #<representation binary64>) () ())) ())
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#s(alt -1/37800 (taylor inf x) (#s(alt (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (patch (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))) (taylor inf x) (#s(alt (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (patch (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2835 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2835 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2835 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2835 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2835 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2835 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2835 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2835 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1/2835 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

75 calls:

TimeVariablePointExpression
0.0ms
x
@0
(pow x 6)
0.0ms
x
@0
(/ 1/2835 (* x x))
0.0ms
x
@0
(* (- (- (/ 1/2835 (* x x)) (/ -1/6 (pow x 6))) (+ (/ 1/180 (* (* (* x x) x) x)) 1/37800)) (* (* (* (* x x) x) x) (* (* (* x x) x) x)))
0.0ms
x
@inf
(* (- (- (/ 1/2835 (* x x)) (/ -1/6 (pow x 6))) (+ (/ 1/180 (* (* (* x x) x) x)) 1/37800)) (* (* (* (* x x) x) x) (* (* (* x x) x) x)))
0.0ms
x
@0
(/ (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) (* (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (+ (* (* x x) 1/2835) -1/180) x)) (* (* x x) x)) 1/216) (* x x)))

simplify155.0ms (1.2%)

Memory
-2.6MiB live, 187.6MiB allocated
Algorithm
egg-herbie
Rules
13 824×lower-fma.f64
13 824×lower-fma.f32
5 066×lower-*.f64
5 066×lower-*.f32
2 054×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01873452
14443422
210553422
324983422
460833422
083303271
Stop Event
iter limit
node limit
Counts
300 → 300
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) (- (* 1/2835 (pow x 2)) 1/180))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(* 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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 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) (- (* 1/2835 (pow x 2)) 1/180))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -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 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(* 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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 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) (- (* 1/2835 (pow x 2)) 1/180))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -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 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
6
(+ 6 (* 1/5 (pow x 2)))
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150)))))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(/ 2835 (pow x 4))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4))
(* 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) (- (* 1/2835 (pow x 2)) 1/180))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 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)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(/ 6 (pow x 2))
(/ (+ 6 (* 1/5 (pow x 2))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) (pow x 2))
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) (pow x 2))
(/ 2835 (pow x 6))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 6))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6))
(/ 2835 (pow x 6))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 6))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 6))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 6))
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400)))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* 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))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(* 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))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/6 (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))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
1/5
(+ 1/5 (* -19/3150 (pow x 2)))
(+ 1/5 (* -19/3150 (pow x 2)))
(+ 1/5 (* -19/3150 (pow x 2)))
(* -19/3150 (pow x 2))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* -19/3150 (pow x 2))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* (pow x 2) (- (* 1/5 (/ 1 (pow x 2))) 19/3150))
(* 1/32400 (pow x 2))
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(* 1/8037225 (pow x 6))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* 1/8037225 (pow x 6))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(/ 1/6 (pow x 6))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 6))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 6))
(/ (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) (pow x 6))
-1/37800
(- (* 1/2835 (/ 1 (pow x 2))) 1/37800)
(- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))
(- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))
-1/37800
(- (* 1/2835 (/ 1 (pow x 2))) 1/37800)
(- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))
(- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))
(/ 1/2835 (pow x 2))
(/ 1/2835 (pow x 2))
(/ 1/2835 (pow x 2))
(/ 1/2835 (pow x 2))
(/ 1/2835 (pow x 2))
(/ 1/2835 (pow x 2))
(/ 1/2835 (pow x 2))
(/ 1/2835 (pow x 2))
(/ 1/2835 (pow x 2))
(/ 1/2835 (pow x 2))
(/ 1/2835 (pow x 2))
(/ 1/2835 (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))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/2835 (pow x 6))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x x) x))
(* (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))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))
(* (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) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))
(* (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) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))
(* 1/2835 (pow x 6))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x x) x))
(* (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))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))
(* (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) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))
(* (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) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))
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(-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64))
(- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))
(-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))
(-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/37800 binary64)))
-1/37800
#s(literal -1/37800 binary64)
(- (* 1/2835 (/ 1 (pow x 2))) 1/37800)
(-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64))
(- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))
(-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) #s(literal 1/37800 binary64)) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
(- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))
(-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/37800 binary64)))
(/ 1/2835 (pow x 2))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(/ 1/2835 (pow x 2))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(/ 1/2835 (pow x 2))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(/ 1/2835 (pow x 2))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(/ 1/2835 (pow x 2))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(/ 1/2835 (pow x 2))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(/ 1/2835 (pow x 2))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(/ 1/2835 (pow x 2))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(/ 1/2835 (pow x 2))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(/ 1/2835 (pow x 2))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(/ 1/2835 (pow x 2))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(/ 1/2835 (pow x 2))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))

rewrite320.0ms (2.6%)

Memory
10.1MiB live, 324.8MiB allocated
Rules
4 630×lower-*.f32
4 608×lower-*.f64
4 108×lower-/.f32
4 090×lower-/.f64
3 664×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077760
0119667
1486600
23823600
09380579
Stop Event
iter limit
node limit
iter limit
Counts
25 → 503
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x)
(/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64))))
#s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
(/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))
#s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))))
#s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x))
(-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64)))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal -1/36 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal -1/36 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) #s(literal -1/36 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x #s(literal -1/6 binary64)))
(/.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)) #s(literal 1/216 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) (neg.f64 x) #s(literal 1/36 binary64))))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) (neg.f64 x) #s(literal 1/36 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)) #s(literal 1/216 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) (neg.f64 x) #s(literal 1/36 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x)) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) x)) (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) x) #s(literal 1/6 binary64)) (neg.f64 x) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) x)))))
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(+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal -1/37800 binary64))
(+.f64 (neg.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))) (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))))
(+.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x))) (neg.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))
(+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))
(+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)) (neg.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))))
(+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (neg.f64 (+.f64 (+.f64 #s(literal 1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) x)))))
(*.f64 (/.f64 #s(literal 1/2835 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2835 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2835 binary64) x))
(*.f64 #s(literal -1/2835 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/2835 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2835 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2835 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/2835 binary64) x) x)
(/.f64 #s(literal -1/2835 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal -1/2835 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1/2835 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64))))
(/.f64 #s(literal 1/2835 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1/2835 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/2835 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2835 binary64)))
(neg.f64 (/.f64 #s(literal -1/2835 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 2835 binary64))) #s(literal -1 binary64)))

eval155.0ms (1.2%)

Memory
6.8MiB live, 319.7MiB allocated
Compiler

Compiled 42 896 to 2 466 computations (94.3% saved)

prune200.0ms (1.6%)

Memory
-13.8MiB live, 365.2MiB allocated
Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New1 10691 115
Fresh4711
Picked325
Done077
Total1 113251 138
Accuracy
97.6%
Counts
1 138 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.9%
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
28.9%
(-.f64 (log.f64 #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) (log.f64 x))
50.5%
(+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))))
50.5%
(log.f64 (/.f64 (sinh.f64 x) x))
49.9%
(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))))
49.8%
(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))))
49.5%
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64))))
2.3%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
2.0%
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))))
95.7%
#s(approx (- (log (sinh x)) (log x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
96.2%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
95.3%
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
95.4%
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
94.5%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (*.f64 x x))))
94.3%
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 #s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (*.f64 #s(literal 1/32400 binary64) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
96.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
96.2%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(approx (+ (* -19/3150 (* x x)) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
95.4%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
95.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)) x))
96.0%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
95.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
95.3%
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
16.0%
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))))
15.3%
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/2835 (* x x)) (/ -1/6 (pow x 6))) (+ (/ 1/180 (* (* (* x x) x) x)) 1/37800)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))))
Compiler

Compiled 1 233 to 347 computations (71.9% saved)

regimes34.0ms (0.3%)

Memory
-10.5MiB live, 64.8MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (- (log (sinh x)) (log 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 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(approx (+ (* -19/3150 (* x x)) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2835 binary64) x) x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) x))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (*.f64 x (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) x) (*.f64 x x) (*.f64 #s(literal -1/180 binary64) x)))) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/2835 (* x x)) -1/180) (* x x)) 1/6) (fma.f64 (*.f64 #s(literal -1/180 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -1/2835 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x) x))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 #s(approx (- (- (/ 1/2835 (* x x)) (/ -1/6 (pow x 6))) (+ (/ 1/180 (* (* (* x x) x) x)) 1/37800)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 #s(approx (* (* (+ (* (* x x) 1/2835) -1/180) x) (* (+ (* (* x x) 1/2835) -1/180) x)) (*.f64 #s(literal 1/32400 binary64) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* (* (* (+ (* (* x x) 1/2835) -1/180) x) x) (* (+ (* (* x x) 1/2835) -1/180) x)) x) (- 1/36 (* (* (+ (* (* x x) 1/2835) -1/180) x) (* 1/6 x)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 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) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/120 binary64)) x))))
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 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 (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) 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 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) x)) (*.f64 (*.f64 x x) x) #s(literal 1/216 binary64)) (*.f64 x x)))))
#s(approx (log (/ (sinh x) x)) #s(approx (* (* (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) x) x) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/37800 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x)))))
(log.f64 (/.f64 (sinh.f64 x) x))
(-.f64 (log.f64 #s(approx (sinh x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))) (log.f64 x))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(+.f64 (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
Calls

3 calls:

13.0ms
x
10.0ms
(/.f64 (sinh.f64 x) x)
9.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
96.3%1x
96.3%1(log.f64 (/.f64 (sinh.f64 x) x))
96.3%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes15.0ms (0.1%)

Memory
-3.0MiB live, 35.7MiB allocated
Counts
16 → 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 (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (- (log (sinh x)) (log 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 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(approx (+ (* -19/3150 (* x x)) 1/5) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) (*.f64 x x))))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 (fma.f64 #s(literal -19/3150 binary64) (*.f64 x x) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x x) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
Calls

3 calls:

7.0ms
x
4.0ms
(/.f64 (sinh.f64 x) x)
4.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
96.2%1x
96.2%1(log.f64 (/.f64 (sinh.f64 x) x))
96.2%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (- (log (sinh x)) (log 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 x (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64)) x)) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (sinh.f64 x) x)
2.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
Results
AccuracySegmentsBranch
95.7%1x
95.7%1(log.f64 (/.f64 (sinh.f64 x) x))
95.7%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes9.0ms (0.1%)

Memory
-32.0MiB live, 13.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
Calls

3 calls:

6.0ms
x
2.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
2.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
95.4%1x
95.4%1(log.f64 (/.f64 (sinh.f64 x) x))
95.4%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Calls

3 calls:

2.0ms
x
1.0ms
(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms
(/.f64 (sinh.f64 x) x)
Results
AccuracySegmentsBranch
95.3%1x
95.3%1(log.f64 (/.f64 (sinh.f64 x) x))
95.3%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes3.0ms (0%)

Memory
8.3MiB live, 8.3MiB 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
95.3%1x
95.3%1(log.f64 (/.f64 (sinh.f64 x) x))
95.3%1(/.f64 (sinh.f64 x) x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0%)

Memory
12.9MiB live, 12.9MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049140
160140
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 6 binary64)))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/180 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* (+ (* (* x x) 1/2835) -1/180) (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))

soundness1.0s (8%)

Memory
-13.3MiB live, 692.8MiB allocated
Rules
17 322×lower-fma.f64
17 322×lower-fma.f32
16 092×lower-fma.f64
16 092×lower-fma.f32
13 596×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059394
1157390
2395384
31186384
42106384
53935384
64551380
74952380
86424380
08057362
02353390
16113366
215133318
337033302
080453161
032234
057233
1208233
21383233
08137233
01462572
13982544
210572538
331092538
471832538
080492409
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 194 to 99 computations (49% saved)

preprocess78.0ms (0.6%)

Memory
20.1MiB live, 175.5MiB allocated
Compiler

Compiled 198 to 90 computations (54.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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