Hyperbolic sine

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 10 to 9 computations (10% saved)

sample1.8s (25.9%)

Memory
44.6MiB live, 1 994.5MiB allocated; 405ms collecting garbage
Samples
779.0ms1 692×2valid
488.0ms2 419×1valid
226.0ms4 145×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-exp: 889.0ms (69.3% of total)
adjust: 129.0ms (10.1% of total)
ival-div: 121.0ms (9.4% of total)
ival-sub: 95.0ms (7.4% of total)
ival-neg: 37.0ms (2.9% of total)
ival-true: 5.0ms (0.4% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain156.0ms (2.2%)

Memory
-31.1MiB live, 165.0MiB allocated; 32ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1380-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
00-0-(exp.f64 x)
02(184.38989135652528)0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))cancellation1380
exp.f64(exp.f64 (neg.f64 x))sensitivity20
Confusion
Predicted +Predicted -
+1380
-2116
Precision
0.9857142857142858
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13800
-20116
Precision?
0.9857142857142858
Recall?
1.0
Freqs
test
numberfreq
0116
1140
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
55.0ms122×2valid
28.0ms154×1valid
14.0ms236×0valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-exp: 54.0ms (67.2% of total)
adjust: 11.0ms (13.7% of total)
ival-div: 6.0ms (7.5% of total)
ival-sub: 5.0ms (6.2% of total)
ival-neg: 2.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess146.0ms (2.1%)

Memory
37.3MiB live, 170.4MiB allocated; 16ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
1357
2757
33507
426765
563895
078
0122
1252
2562
32132
413632
549232
080742
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(sinh.f64 x)
Symmetry

(negabs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify126.0ms (1.8%)

Memory
-1.9MiB live, 98.8MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 x))
cost-diff0
(exp.f64 x)
cost-diff2
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff4
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0723
01217
12517
25617
321317
4136315
5492315
0807415
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (sinh.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(literal 2 binary64)

localize55.0ms (0.8%)

Memory
-37.6MiB live, 53.5MiB allocated; 6ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.0
(exp.f64 (neg.f64 x))
accuracy0.0
(exp.f64 x)
accuracy32.35926993985542
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Samples
26.0ms61×2valid
13.0ms77×1valid
7.0ms118×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-exp: 26.0ms (70.2% of total)
adjust: 4.0ms (10.8% of total)
ival-div: 3.0ms (8.1% of total)
ival-sub: 2.0ms (5.4% of total)
ival-neg: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Counts
5 → 23
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
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))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))
1.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))
1.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (exp x) (exp (neg x)) (neg x))

simplify185.0ms (2.6%)

Memory
9.8MiB live, 146.9MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074184
1279183
2903177
33536177
46904177
08034157
Stop Event
iter limit
node limit
Counts
23 → 22
Calls
Call 1
Inputs
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))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite217.0ms (3.1%)

Memory
5.7MiB live, 343.6MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
01213
14313
229813
3465913
0946313
Stop Event
iter limit
node limit
iter limit
Counts
5 → 426
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (sinh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 x) #s(literal -2 binary64)))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) (neg.f64 (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))))
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) (sinh.f64 x)) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 x)) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (exp.f64 x) #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (cosh.f64 x) (sinh.f64 x)) (cosh.f64 x))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (pow.f64 (exp.f64 x) #s(literal -9 binary64))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (exp.f64 x) #s(literal -6 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal -2 binary64))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 x)
(neg.f64 (sinh.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (cosh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))) (*.f64 (cosh.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (sinh.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))))
(-.f64 (*.f64 #s(literal 0 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
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(/.f64 (fma.f64 #s(literal -4 binary64) (sinh.f64 x) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (sinh.f64 x))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))))
(/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x))))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
(fma.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (sinh.f64 x) #s(literal -1 binary64) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal -2 binary64)) (cosh.f64 x))
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)))
(-.f64 (+.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(-.f64 (cosh.f64 x) (sinh.f64 x))
(fabs.f64 (-.f64 (sinh.f64 x) (cosh.f64 x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(fabs.f64 (exp.f64 (neg.f64 x)))
(exp.f64 (+.f64 x (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -3 binary64) x)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))
(exp.f64 (neg.f64 x))
(+.f64 (+.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (sinh.f64 x) #s(literal -2 binary64)))
(+.f64 (*.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 x))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 (log.f64 (neg.f64 (neg.f64 (exp.f64 x)))))
(neg.f64 x)
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -2 binary64)))) (log.f64 (-.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -3 binary64)))) (log.f64 (+.f64 (pow.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -2 binary64)) (*.f64 (-.f64 (cosh.f64 x) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))) (log.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal -3 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (cosh.f64 x) (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 x)) (/.f64 #s(literal 2 binary64) (exp.f64 x)))))) (log.f64 #s(literal 8 binary64)))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) x)))))) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 3 binary64) x)))))) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal -4 binary64) (sinh.f64 x)))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (sinh.f64 x) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (sinh.f64 x)))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))))) (log.f64 (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))))))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (log.f64 (fma.f64 (sinh.f64 x) (exp.f64 x) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (neg.f64 (exp.f64 x)))))
(-.f64 #s(literal 0 binary64) x)
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (cosh.f64 x) (sinh.f64 x)))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(log.f64 (exp.f64 (neg.f64 x)))

eval52.0ms (0.7%)

Memory
28.1MiB live, 117.6MiB allocated; 12ms collecting garbage
Compiler

Compiled 9 767 to 1 721 computations (82.4% saved)

prune13.0ms (0.2%)

Memory
-23.8MiB live, 31.5MiB allocated; 10ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4405445
Fresh000
Picked101
Done000
Total4415446
Accuracy
100.0%
Counts
446 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
85.6%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
56.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
100.0%
(sinh.f64 x)
Compiler

Compiled 160 to 106 computations (33.8% saved)

simplify180.0ms (2.6%)

Memory
-3.2MiB live, 277.5MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
cost-diff0
(sinh.f64 x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029272
051272
193272
2280272
31224272
44904272
08724272
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(sinh.f64 x)
x
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
Outputs
(sinh.f64 x)
x
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize229.0ms (3.3%)

Memory
-20.6MiB live, 230.2MiB allocated; 26ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.049160009768442016
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy0.07421875
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy4.425533499135681
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0.01953125
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy0.03515625
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy0.0546875
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy6.567995070698844
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0.0
(*.f64 x x)
accuracy0.03125
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy0.0859375
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
accuracy9.223411940994517
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0.0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy27.869889152978338
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(sinh.f64 x)
Samples
87.0ms61×2valid
84.0ms77×1valid
26.0ms118×0valid
Compiler

Compiled 198 to 30 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-exp: 67.0ms (39.7% of total)
ival-mult: 52.0ms (30.8% of total)
adjust: 18.0ms (10.7% of total)
const: 12.0ms (7.1% of total)
ival-add: 11.0ms (6.5% of total)
ival-div: 3.0ms (1.8% of total)
ival-sub: 2.0ms (1.2% of total)
ival-sinh: 2.0ms (1.2% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
20 → 51
Calls
Call 1
Inputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
Outputs
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))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(pow x 2)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))
3.0ms
x
@inf
((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))
2.0ms
x
@0
((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

simplify148.0ms (2.1%)

Memory
22.7MiB live, 72.2MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120526
1447520
21435517
36195517
08270491
Stop Event
iter limit
node limit
Counts
51 → 50
Calls
Call 1
Inputs
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))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(pow x 2)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 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) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/60 (pow x 2))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/2520 (pow x 2))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))))

rewrite174.0ms (2.5%)

Memory
17.9MiB live, 108.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029251
051235
1190235
21323235
08361235
Stop Event
iter limit
node limit
iter limit
Counts
20 → 407
Calls
Call 1
Inputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) (sinh.f64 x))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) (cosh.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (neg.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(sinh.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))))
(+.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 x x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
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(+.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x))

eval162.0ms (2.3%)

Memory
-18.9MiB live, 82.1MiB allocated; 10ms collecting garbage
Compiler

Compiled 22 918 to 2 987 computations (87% saved)

prune40.0ms (0.6%)

Memory
-7.0MiB live, 36.9MiB allocated; 5ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New52712539
Fresh000
Picked145
Done000
Total52816544
Accuracy
100.0%
Counts
544 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
85.6%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))) #s(literal 2 binary64))
56.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
69.3%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
85.6%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
85.6%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
35.0%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
100.0%
(sinh.f64 x)
Compiler

Compiled 668 to 430 computations (35.6% saved)

simplify192.0ms (2.7%)

Memory
22.9MiB live, 111.2MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(+.f64 x x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040398
069393
1116393
2326393
31260393
44514373
09460373
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))
(*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x)
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/60 binary64) x)
#s(literal 1/60 binary64)
x
#s(literal 1/3 binary64)
(*.f64 x x)
#s(literal 2 binary64)
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))
(*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/60 binary64) x)
#s(literal 1/60 binary64)
x
#s(literal 1/3 binary64)
(*.f64 x x)
#s(literal 2 binary64)

localize271.0ms (3.9%)

Memory
-3.2MiB live, 191.2MiB allocated; 16ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy0.0546875
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
accuracy0.109375
(*.f64 #s(literal 1/60 binary64) x)
accuracy6.567995070698844
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0.03515625
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
accuracy0.109375
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
accuracy6.567995070698844
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy33.747553060587926
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
accuracy0.03125
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
accuracy0.0390625
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
accuracy0.328125
(*.f64 #s(literal 1/3 binary64) x)
accuracy9.223411940994517
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
accuracy0.0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
accuracy0.0
(+.f64 x x)
accuracy27.869889152978338
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
accuracy0.049160009768442016
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy0.07421875
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy0.078125
(*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x)
accuracy4.425533499135681
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
Samples
85.0ms61×2valid
68.0ms77×1valid
52.0ms118×0valid
Compiler

Compiled 267 to 37 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 51.0ms (39.1% of total)
ival-exp: 25.0ms (19.2% of total)
adjust: 22.0ms (16.9% of total)
ival-add: 14.0ms (10.7% of total)
const: 12.0ms (9.2% of total)
ival-div: 3.0ms (2.3% of total)
ival-sub: 2.0ms (1.5% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Counts
26 → 50
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x)
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
(*.f64 #s(literal 1/60 binary64) x)
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
Outputs
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))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/3 x)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/60 (pow x 2))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* (+ (* 1/2520 (* x x)) 1/60) x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* (+ (* 1/2520 (* x x)) 1/60) x) x) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (* (+ (* 1/2520 (* x x)) 1/60) x) (+ (* 1/2520 (* x x)) 1/60) (* 1/3 x) (+ (* 1/60 (* x x)) 1/3) (* 1/60 (* x x)) (* 1/60 x) (+ (* (* 1/60 x) x) 1/3))
3.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* (+ (* 1/2520 (* x x)) 1/60) x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* (+ (* 1/2520 (* x x)) 1/60) x) x) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (* (+ (* 1/2520 (* x x)) 1/60) x) (+ (* 1/2520 (* x x)) 1/60) (* 1/3 x) (+ (* 1/60 (* x x)) 1/3) (* 1/60 (* x x)) (* 1/60 x) (+ (* (* 1/60 x) x) 1/3))
2.0ms
x
@0
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* (+ (* 1/2520 (* x x)) 1/60) x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* (+ (* 1/2520 (* x x)) 1/60) x) x) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (+ x x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) x) (+ (* (+ (* (* 1/60 x) x) 1/3) (* x x)) 2) (* (+ (* 1/2520 (* x x)) 1/60) x) (+ (* 1/2520 (* x x)) 1/60) (* 1/3 x) (+ (* 1/60 (* x x)) 1/3) (* 1/60 (* x x)) (* 1/60 x) (+ (* (* 1/60 x) x) 1/3))

simplify146.0ms (2.1%)

Memory
-8.5MiB live, 136.7MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119498
1448492
21432489
36125489
08225463
Stop Event
iter limit
node limit
Counts
50 → 49
Calls
Call 1
Inputs
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))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/3 x)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/60 (pow x 2))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 1/60 x)
(*.f64 #s(literal 1/60 binary64) x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x)
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2520 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2520 binary64))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x)
(* 1/2520 (pow x 2))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64))))

rewrite224.0ms (3.2%)

Memory
-1.9MiB live, 231.6MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040361
069336
1245336
21602336
08390336
Stop Event
iter limit
node limit
iter limit
Counts
26 → 426
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x)
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
(*.f64 #s(literal 1/60 binary64) x)
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal -2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x))) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (-.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x) x) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x)) (*.f64 #s(literal 2 binary64) x)))))
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(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/60 binary64) (neg.f64 x))) x)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/60 binary64) x)) x)
(*.f64 (*.f64 #s(literal 1/60 binary64) (neg.f64 x)) (neg.f64 x))
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(*.f64 x #s(literal 1/60 binary64))
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(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/60 binary64) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/60 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/60 binary64) x)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/60 binary64) x)) x)))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 x x)) (*.f64 #s(literal -1/60 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/60 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/60 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/60 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/60 binary64))))))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/60 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/60 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/60 binary64) x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/60 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (-.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) #s(literal 1/27 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64) #s(literal 1/27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/60 binary64) (neg.f64 x))) x #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/60 binary64) x)) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/60 binary64) x)) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal 1/60 binary64) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (-.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/60 binary64) x)) x))
(-.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/60 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/60 binary64)))
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/60 binary64) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))

eval114.0ms (1.6%)

Memory
-15.9MiB live, 128.5MiB allocated; 14ms collecting garbage
Compiler

Compiled 22 713 to 2 682 computations (88.2% saved)

prune21.0ms (0.3%)

Memory
-2.4MiB live, 45.2MiB allocated; 2ms collecting garbage
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New4627469
Fresh347
Picked235
Done044
Total46718485
Accuracy
100.0%
Counts
485 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
85.6%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))) #s(literal 2 binary64))
56.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
69.3%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
85.6%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
85.6%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
35.0%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
100.0%
(sinh.f64 x)
Compiler

Compiled 750 to 486 computations (35.2% saved)

simplify231.0ms (3.3%)

Memory
-14.8MiB live, 292.0MiB allocated; 60ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
cost-diff0
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
cost-diff0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051582
085571
1145571
2382571
31418571
44748551
09557547
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 x x)
x
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/60 binary64) x) x)
(*.f64 #s(literal 1/60 binary64) x)
#s(literal 1/60 binary64)
x
(*.f64 x x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/60 binary64) x)
#s(literal 1/60 binary64)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(*.f64 x x)
x
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x))
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/60 binary64) x) x)
(*.f64 #s(literal 1/60 binary64) x)
#s(literal 1/60 binary64)
x
(*.f64 x x)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
(*.f64 #s(literal 1/60 binary64) x)
#s(literal 1/60 binary64)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize243.0ms (3.5%)

Memory
36.7MiB live, 221.4MiB allocated; 50ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.049160009768442016
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy0.1171875
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
accuracy4.425533499135681
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy33.76922394872312
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)))
accuracy0.0546875
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
accuracy0.109375
(*.f64 #s(literal 1/60 binary64) x)
accuracy0.2265625
(*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x)
accuracy6.567995070698844
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
accuracy0.109375
(*.f64 #s(literal 1/60 binary64) x)
accuracy0.13671875
(*.f64 (*.f64 #s(literal 1/60 binary64) x) x)
accuracy6.567995070698844
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy33.747553060587926
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x))
accuracy0.03125
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
accuracy0.171875
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
accuracy9.223411940994517
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
accuracy33.72098787586554
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
accuracy0.07421875
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy0.078125
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
accuracy0.19921875
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
accuracy4.425533499135681
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
Samples
92.0ms77×1valid
75.0ms61×2valid
37.0ms118×0valid
Compiler

Compiled 363 to 46 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-mult: 78.0ms (46.4% of total)
adjust: 28.0ms (16.7% of total)
ival-exp: 24.0ms (14.3% of total)
ival-add: 18.0ms (10.7% of total)
const: 12.0ms (7.1% of total)
ival-div: 3.0ms (1.8% of total)
ival-sub: 2.0ms (1.2% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
-28.6MiB live, 16.2MiB allocated; 15ms collecting garbage
Counts
31 → 58
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/60 binary64) x) x)
(*.f64 #s(literal 1/60 binary64) x)
(*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
Outputs
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))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/3 (pow x 2))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/60 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 3))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) 2) x) (+ (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (* 1/60 x) x) 1/3) x) x) 2) x) (+ (* (* (+ (* (* 1/60 x) x) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) (* (+ (* (* x x) 1/2520) 1/60) x) (+ (* (* x x) 1/2520) 1/60) (* (* x x) 1/3) (+ (* 1/60 (* x x)) 1/3) (* (* 1/60 x) x) (* 1/60 x) (* (+ (* (* 1/60 x) x) 1/3) x) (+ (* (* 1/60 x) x) 1/3) (+ (* 1/2520 (* x x)) 1/60) (* 1/2520 (* x x)))
3.0ms
x
@inf
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) 2) x) (+ (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (* 1/60 x) x) 1/3) x) x) 2) x) (+ (* (* (+ (* (* 1/60 x) x) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) (* (+ (* (* x x) 1/2520) 1/60) x) (+ (* (* x x) 1/2520) 1/60) (* (* x x) 1/3) (+ (* 1/60 (* x x)) 1/3) (* (* 1/60 x) x) (* 1/60 x) (* (+ (* (* 1/60 x) x) 1/3) x) (+ (* (* 1/60 x) x) 1/3) (+ (* 1/2520 (* x x)) 1/60) (* 1/2520 (* x x)))
2.0ms
x
@0
((/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) 2) x) (+ (* (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* 1/3 x) x) 2) x) (+ (* (* 1/3 x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (* (+ (* (* 1/60 x) x) 1/3) x) x) 2) x) (+ (* (* (+ (* (* 1/60 x) x) 1/3) x) x) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* (+ (* (* (+ (* (* x x) 1/2520) 1/60) x) x) 1/3) x) (* (+ (* (* x x) 1/2520) 1/60) x) (+ (* (* x x) 1/2520) 1/60) (* (* x x) 1/3) (+ (* 1/60 (* x x)) 1/3) (* (* 1/60 x) x) (* 1/60 x) (* (+ (* (* 1/60 x) x) 1/3) x) (+ (* (* 1/60 x) x) 1/3) (+ (* 1/2520 (* x x)) 1/60) (* 1/2520 (* x x)))

simplify138.0ms (2%)

Memory
34.8MiB live, 129.0MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128588
1493582
21556578
36526578
08094548
Stop Event
iter limit
node limit
Counts
58 → 57
Calls
Call 1
Inputs
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))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/3 (pow x 2))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(* 1/60 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 3))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* 1/60 x)
(*.f64 #s(literal 1/60 binary64) x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2520 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))))
(* 1/2520 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2520 binary64))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/60 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/60 binary64))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) x)
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))

rewrite179.0ms (2.6%)

Memory
-24.0MiB live, 164.5MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051519
085489
1300489
21838489
08212485
Stop Event
iter limit
node limit
iter limit
Counts
31 → 424
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/60 binary64) x) x)
(*.f64 #s(literal 1/60 binary64) x)
(*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal -2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)))
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(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3600 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/60 binary64) x) x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 x))) x)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/2520 binary64) x)) x)
(*.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2520 binary64)))
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/2520 binary64))))
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/2520 binary64) x)))
(*.f64 x (*.f64 #s(literal 1/2520 binary64) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6350400 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))))
(fabs.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)))

eval78.0ms (1.1%)

Memory
41.7MiB live, 129.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 23 196 to 2 800 computations (87.9% saved)

prune79.0ms (1.1%)

Memory
-28.4MiB live, 82.9MiB allocated; 47ms collecting garbage
Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New4744478
Fresh066
Picked145
Done167
Total47620496
Accuracy
100.0%
Counts
496 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
85.6%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))) #s(literal 2 binary64))
56.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
69.3%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
93.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/60 binary64) x) x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
89.7%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
85.6%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
35.0%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
35.0%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
100.0%
(sinh.f64 x)
Compiler

Compiled 1 189 to 508 computations (57.3% saved)

regimes22.0ms (0.3%)

Memory
-8.4MiB live, 40.7MiB allocated; 5ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/60 binary64) x) x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
Calls

3 calls:

10.0ms
x
5.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
100.0%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes18.0ms (0.3%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/60 binary64) x) x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Calls

3 calls:

7.0ms
x
5.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
93.1%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
93.1%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
93.1%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes36.0ms (0.5%)

Memory
-20.6MiB live, 26.6MiB allocated; 1ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/60 binary64) x) x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Calls

3 calls:

27.0ms
x
4.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
4.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
93.1%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
93.1%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
93.1%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes13.0ms (0.2%)

Memory
17.8MiB live, 17.7MiB allocated; 0ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/60 binary64) x) x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) x) x #s(literal 1/3 binary64)) x) x) x))) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Calls

3 calls:

5.0ms
x
4.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
89.7%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
89.7%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
89.7%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes13.0ms (0.2%)

Memory
-31.9MiB live, 14.0MiB allocated; 3ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Calls

3 calls:

6.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
3.0ms
x
3.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
89.7%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
89.7%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
89.7%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 x #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x))) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
85.6%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
85.6%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
85.6%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
Calls

3 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
85.6%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
85.6%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
85.6%2x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes3.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
56.4%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
56.4%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
56.4%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch17.0ms (0.2%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.993839301979434e-11
16.08042219332681
Samples
9.0ms160×0valid
Compiler

Compiled 371 to 301 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (51.3% of total)
ival-sub: 1.0ms (17.1% of total)
ival-div: 1.0ms (17.1% of total)
ival-neg: 1.0ms (17.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify58.0ms (0.8%)

Memory
-16.1MiB live, 37.6MiB allocated; 4ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
061183
186183
2175183
3458183
41213167
Stop Event
node limit
Calls
Call 1
Inputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))

derivations1.1s (15.5%)

Memory
-16.1MiB live, 643.8MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120526
1447520
21435517
36195517
08270491
051519
085489
1300489
21838489
08212485
029251
051235
1190235
21323235
08361235
074184
1279183
2903177
33536177
46904177
08034157
0721
01213
14313
229813
3465913
0946313
040361
069336
1245336
21602336
08390336
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 183 to 65 computations (64.5% saved)

preprocess82.0ms (1.2%)

Memory
35.0MiB live, 132.9MiB allocated; 14ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 386 to 148 computations (61.7% saved)

end0.0ms (0%)

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

Profiling

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