exp2 (problem 3.3.7)

Time bar (total: 9.5s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.4%49.6%0%0%0%0
100%50.4%0%49.6%0%0%0%1
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample3.6s (38.3%)

Memory
110.9MiB live, 3 520.9MiB allocated; 725ms collecting garbage
Samples
2.7s5 749×2valid
431.0ms2 354×1valid
10.0ms153×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-exp: 1.8s (64.7% of total)
adjust: 568.0ms (20.2% of total)
ival-add: 160.0ms (5.7% of total)
ival-sub: 123.0ms (4.4% of total)
ival-fabs: 61.0ms (2.2% of total)
ival-neg: 38.0ms (1.3% of total)
ival-<=: 31.0ms (1.1% of total)
exact: 10.0ms (0.4% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain395.0ms (4.2%)

Memory
-12.4MiB live, 271.6MiB allocated; 28ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1361(-2.6820671830172264e-162)0-(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
00-0-(-.f64 (exp.f64 x) #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(exp.f64 x)
01(393.86615770246243)0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))cancellation1370
exp.f64(exp.f64 (neg.f64 x))sensitivity10
Confusion
Predicted +Predicted -
+1360
-2118
Precision
0.9855072463768116
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13600
-20118
Precision?
0.9855072463768116
Recall?
1.0
Freqs
test
numberfreq
0118
1138
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
127.0ms338×2valid
24.0ms166×1valid
0.0ms0valid
Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-exp: 87.0ms (67.6% of total)
adjust: 25.0ms (19.4% of total)
ival-sub: 7.0ms (5.4% of total)
ival-add: 6.0ms (4.7% of total)
ival-neg: 4.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess182.0ms (1.9%)

Memory
14.2MiB live, 106.3MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0917
13317
27817
329117
4157413
5755513
078
0128
1258
2578
31818
48006
572796
086796
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
Symmetry

(abs 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
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify137.0ms (1.4%)

Memory
3.4MiB live, 93.3MiB allocated; 7ms 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-diff0
(-.f64 (exp.f64 x) #s(literal 2 binary64))
cost-diff2
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0721
01221
12521
25721
318121
480019
5727919
0867919
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
x
#s(literal 2 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize102.0ms (1.1%)

Memory
-2.3MiB live, 93.6MiB allocated; 10ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (neg.f64 x))
accuracy0.0
(exp.f64 x)
accuracy0.03125
(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy29.86207116178107
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Samples
63.0ms169×2valid
12.0ms83×1valid
0.0ms0valid
Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-exp: 43.0ms (67.5% of total)
adjust: 12.0ms (18.8% of total)
ival-sub: 4.0ms (6.3% of total)
ival-add: 3.0ms (4.7% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Counts
4 → 21
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 x))
Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
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)))
(- (+ (exp x) (exp (neg x))) 2)
(- (exp x) 2)
(exp x)
(exp (neg x))
(- (+ (exp x) (exp (* -1 x))) 2)
(exp (* -1 x))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))
0.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (- (exp x) 2) (exp x) (exp (neg x)))

simplify199.0ms (2.1%)

Memory
32.0MiB live, 220.9MiB allocated; 31ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060160
1208159
2664153
32594153
47057153
08435136
Stop Event
iter limit
node limit
Counts
21 → 21
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
-1
(- x 1)
(- (* x (+ 1 (* 1/2 x))) 1)
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
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)))
(- (+ (exp x) (exp (neg x))) 2)
(- (exp x) 2)
(exp x)
(exp (neg x))
(- (+ (exp x) (exp (* -1 x))) 2)
(exp (* -1 x))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 x))) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 x #s(literal 1 binary64)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 x #s(literal 1 binary64)))
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))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(- (exp x) 2)
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp x)
(exp.f64 x)
(exp (neg x))
(exp.f64 (neg.f64 x))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))
(exp (* -1 x))
(exp.f64 (neg.f64 x))

rewrite192.0ms (2%)

Memory
-6.1MiB live, 265.1MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0717
01217
15217
242315
3768915
0810115
Stop Event
iter limit
node limit
iter limit
Counts
4 → 238
Calls
Call 1
Inputs
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) #s(literal 2 binary64))
(exp.f64 x)
(exp.f64 (neg.f64 x))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal -3 binary64)))) (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x)) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)) (exp.f64 x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) #s(literal -2 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 x)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x)) (+.f64 #s(literal 2 binary64) (exp.f64 x)))
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x)) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64)))
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (exp.f64 x) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (+.f64 #s(literal 2 binary64) (exp.f64 x))) (exp.f64 x))
(/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 8 binary64)) (exp.f64 x) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) (exp.f64 x)) (exp.f64 x) #s(literal 4 binary64))) (exp.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64))))) (+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (-.f64 (exp.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x)))) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)))
(/.f64 (-.f64 (*.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x)))) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (exp.f64 x) (-.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 (neg.f64 x))))
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(+.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 (neg.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 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(exp.f64 (neg.f64 x))

eval33.0ms (0.3%)

Memory
19.4MiB live, 64.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 7 696 to 928 computations (87.9% saved)

prune8.0ms (0.1%)

Memory
-34.6MiB live, 19.5MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2525257
Fresh000
Picked101
Done000
Total2535258
Accuracy
100.0%
Counts
258 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
98.2%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 168 to 122 computations (27.4% saved)

simplify152.0ms (1.6%)

Memory
29.0MiB live, 211.3MiB allocated; 44ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
cost-diff0
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
cost-diff0
(*.f64 x x)
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
cost-diff0
(cosh.f64 x)
cost-diff0
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
cost-diff0
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
cost-diff0
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030215
050215
1103215
2365215
31793207
47326207
08256207
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
#s(literal 1/12 binary64)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
#s(literal 1/20160 binary64)
(*.f64 x x)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
x
(-.f64 (*.f64 #s(literal 2 binary64) (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) (cosh.f64 x))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(cosh.f64 x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
#s(literal 1/12 binary64)

localize325.0ms (3.4%)

Memory
-19.6MiB live, 359.9MiB allocated; 72ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.01171875
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
accuracy0.01953125
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy0.2550159409274573
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
accuracy0.0
(pow.f64 x #s(literal 4 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.01953125
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy0.4110853779587884
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
accuracy0.0
(cosh.f64 x)
accuracy29.920778491756995
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
accuracy0.0
(*.f64 x x)
accuracy1.1476244163540474
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
accuracy0.01171875
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
accuracy0.015625
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
accuracy0.01953125
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
accuracy0.23829857619842906
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
Samples
240.0ms169×2valid
52.0ms83×1valid
1.0ms0valid
Compiler

Compiled 186 to 34 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 260.0ms
adjust: 82.0ms (31.6% of total)
ival-cosh: 53.0ms (20.4% of total)
ival-exp: 49.0ms (18.9% of total)
ival-mult: 28.0ms (10.8% of total)
ival-add: 18.0ms (6.9% of total)
const: 14.0ms (5.4% of total)
ival-sub: 7.0ms (2.7% of total)
ival-pow: 6.0ms (2.3% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Counts
18 → 54
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 3)
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(pow x 4)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (+ (* 1/360 (* x x)) 1/12))
4.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (+ (* 1/360 (* x x)) 1/12))
3.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12)) x) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (pow x 3) (+ (* 1/360 (* x x)) 1/12)) x) (+ (* (+ (* 1/20160 (* x x)) 1/360) (* x x)) 1/12) (+ (* 1/20160 (* x x)) 1/360) (+ (* 1/360 (* x x)) 1/12))

simplify696.0ms (7.3%)

Memory
18.5MiB live, 238.0MiB allocated; 1.1s collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121565
1443549
21442546
36054546
08489516
Stop Event
iter limit
node limit
Counts
54 → 53
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 3)
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(pow x 4)
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/360 (pow x 6))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/360 (pow x 5))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* 1/20160 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64)))
(* 1/20160 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) x) x)))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/360 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/360 binary64))
(* (pow x 6) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/360 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/20160 (pow x 2))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 (pow x 2))
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/360 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64))))

rewrite247.0ms (2.6%)

Memory
-14.3MiB live, 241.8MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030188
050188
1221180
21878180
09265180
Stop Event
iter limit
node limit
iter limit
Counts
18 → 616
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x x)
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(cosh.f64 x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)
(*.f64 x (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
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(+.f64 (/.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (fma.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/144 binary64) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))

eval171.0ms (1.8%)

Memory
-9.6MiB live, 186.8MiB allocated; 54ms collecting garbage
Compiler

Compiled 27 915 to 3 144 computations (88.7% saved)

prune48.0ms (0.5%)

Memory
-6.9MiB live, 38.7MiB allocated; 5ms collecting garbage
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New7476753
Fresh000
Picked325
Done000
Total7508758
Accuracy
100.0%
Counts
758 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
52.8%
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
52.4%
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
50.4%
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
98.2%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 240 to 156 computations (35% saved)

simplify125.0ms (1.3%)

Memory
7.8MiB live, 150.6MiB allocated; 24ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
cost-diff4
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
cost-diff0
(fma.f64 x x #s(literal 2 binary64))
cost-diff0
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
cost-diff0
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff0
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
cost-diff0
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
cost-diff2
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035263
056263
1116261
2391254
31733250
46324250
08456245
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(*.f64 x x)
x
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(*.f64 x x)
x
#s(literal 1/20160 binary64)
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(*.f64 x x)
x
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/12 binary64) (*.f64 x x))
#s(literal 1/12 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize320.0ms (3.4%)

Memory
9.9MiB live, 342.1MiB allocated; 73ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.27908060180771
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy29.920778491756995
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.015625
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy0.19921875
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
accuracy0.4110853779587884
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
accuracy0.0
(fma.f64 x x #s(literal 2 binary64))
accuracy0.4707562559357204
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
accuracy29.920778491756995
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
accuracy1.230921785384949
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
accuracy29.920778491756995
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy0.015625
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
accuracy0.01953125
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
accuracy0.203125
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy0.23829857619842906
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
Samples
230.0ms169×2valid
61.0ms83×1valid
1.0ms0valid
Compiler

Compiled 197 to 35 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 259.0ms
ival-add: 51.0ms (19.7% of total)
adjust: 50.0ms (19.3% of total)
ival-exp: 49.0ms (18.9% of total)
ival-mult: 37.0ms (14.3% of total)
ival-cosh: 32.0ms (12.3% of total)
const: 31.0ms (12% of total)
ival-sub: 7.0ms (2.7% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
19 → 53
Calls
Call 1
Inputs
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(- (+ (exp x) (exp (* -1 x))) 2)
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (+ (* x x) 2) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360))
2.0ms
x
@-inf
((+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (+ (* x x) 2) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360))
1.0ms
x
@0
((+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (+ (* x x) 2) (+ (* (* x x) (* (* x x) 1/12)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* x x) (* (* x x) 1/12) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* (+ (* 1/24 (* x x)) 1/2) (* x x)) 1) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360))

simplify146.0ms (1.5%)

Memory
8.3MiB live, 139.0MiB allocated; 36ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116566
1439566
21442544
36073544
08398510
Stop Event
iter limit
node limit
Counts
53 → 52
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/24 (pow x 4))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 2))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(- (+ (exp x) (exp (* -1 x))) 2)
Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(fma.f64 x x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (fma.f64 x x #s(literal 2 binary64)))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (fma.f64 x x #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* 1/20160 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* 1/20160 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) x) x)))
(* 1/20160 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/20160 binary64))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/20160 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/20160 (pow x 2))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/360 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))

rewrite254.0ms (2.7%)

Memory
-25.8MiB live, 319.7MiB allocated; 148ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035237
056237
1259224
22054224
09947219
Stop Event
iter limit
node limit
iter limit
Counts
19 → 384
Calls
Call 1
Inputs
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
Outputs
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
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(fma.f64 x (*.f64 #s(literal 1/20160 binary64) x) #s(literal 1/360 binary64))
(-.f64 (/.f64 #s(literal 1/129600 binary64) (-.f64 #s(literal 1/360 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/360 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)) #s(literal 1/360 binary64))) (/.f64 #s(literal 1/129600 binary64) (-.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)) #s(literal 1/360 binary64))))
(-.f64 #s(literal 1/360 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/360 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/20160 binary64)))
(-.f64 #s(literal 1/360 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/20160 binary64) x)))
(+.f64 (/.f64 #s(literal 1/46656000 binary64) (+.f64 #s(literal 1/129600 binary64) (-.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))) (/.f64 (*.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/129600 binary64) (-.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/129600 binary64) (-.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))) (/.f64 #s(literal 1/46656000 binary64) (+.f64 #s(literal 1/129600 binary64) (-.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(+.f64 (/.f64 #s(literal 1/46656000 binary64) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))) (/.f64 (*.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))) (/.f64 #s(literal 1/46656000 binary64) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/7257600 binary64))))))
(+.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)) #s(literal 1/360 binary64))
(+.f64 #s(literal 1/360 binary64) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)))

eval105.0ms (1.1%)

Memory
-13.0MiB live, 129.7MiB allocated; 64ms collecting garbage
Compiler

Compiled 21 399 to 2 458 computations (88.5% saved)

prune11.0ms (0.1%)

Memory
38.6MiB live, 38.6MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New5464550
Fresh101
Picked055
Done022
Total54711558
Accuracy
100.0%
Counts
558 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
52.8%
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
52.4%
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
50.4%
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
98.2%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 225 to 149 computations (33.8% saved)

simplify138.0ms (1.5%)

Memory
-16.6MiB live, 179.4MiB allocated; 49ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
cost-diff0
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
cost-diff2
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
cost-diff0
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
cost-diff0
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
cost-diff2
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
cost-diff2
(fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
cost-diff0
(*.f64 #s(literal 1/12 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039437
062437
1132437
2419428
31822428
45963428
08461397
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
#s(literal 1/20160 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x)
(*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) x)
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
#s(literal 1/20160 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)

localize276.0ms (2.9%)

Memory
1.9MiB live, 287.6MiB allocated; 81ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
accuracy0.203125
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy0.23829857619842906
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
accuracy61.074091505420014
#s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
accuracy0.01953125
(fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
accuracy0.203125
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy0.23829857619842906
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
accuracy1.046152355574099
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64))
accuracy0.01171875
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
accuracy0.203125
(*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy0.23829857619842906
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
accuracy1.082667085744766
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.015625
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
accuracy0.31640625
(*.f64 #s(literal 1/12 binary64) x)
accuracy0.4110853779587884
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
Samples
209.0ms169×2valid
36.0ms83×1valid
1.0ms0valid
Compiler

Compiled 319 to 27 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 209.0ms
adjust: 83.0ms (39.8% of total)
ival-exp: 49.0ms (23.5% of total)
const: 38.0ms (18.2% of total)
ival-mult: 23.0ms (11% of total)
ival-add: 11.0ms (5.3% of total)
ival-sub: 4.0ms (1.9% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Counts
22 → 42
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64))
(fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
Outputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 x)
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(* 1/20160 (pow x 2))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (* x x) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) (* 1/20160 (* x x)))
2.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (* x x) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) (* 1/20160 (* x x)))
1.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* 1/12 x) x) 1) (* x x)) (+ (* (* 1/12 x) x) 1) (* 1/12 x) (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) x) x) x) (* (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (* x x)) (* x x) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (+ (* (* x x) 1/20160) 1/360) (* 1/20160 (* x x)))

simplify134.0ms (1.4%)

Memory
-22.3MiB live, 123.0MiB allocated; 44ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085446
1321446
21018430
34152430
08270405
Stop Event
iter limit
node limit
Counts
42 → 41
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
1
(+ 1 (* 1/12 (pow x 2)))
(* 1/12 x)
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
1/360
(+ 1/360 (* 1/20160 (pow x 2)))
(* 1/20160 (pow x 2))
(- (+ (exp x) (exp (neg x))) 2)
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(* 1/20160 (pow x 7))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 8))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/20160 (pow x 6))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* 1/20160 (pow x 4))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/12 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
x
(* x (+ 1 (* 1/12 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x)
(* 1/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/12 binary64))
(* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)
(* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* 1/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* (pow x 2) (+ 1/360 (* 1/20160 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
1/360
#s(literal 1/360 binary64)
(+ 1/360 (* 1/20160 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(* 1/20160 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(* 1/20160 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/20160 binary64))
(* (pow x 7) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64)))
(* 1/20160 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/20160 binary64))
(* (pow x 8) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal -1/20160 binary64)))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* (pow x 8) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (+ (* 1/360 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/20160 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) x) x))))
(* 1/20160 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/20160 binary64))
(* (pow x 6) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal -1/20160 binary64)))
(* (pow x 6) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (/.f64 #s(literal -1/360 binary64) (*.f64 x x))))
(* 1/20160 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/20160 binary64))
(* (pow x 4) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)
(* (pow x 4) (+ 1/20160 (+ (/ 1/12 (pow x 4)) (* 1/360 (/ 1 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(* (pow x 2) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/360 (* 1/12 (/ 1 (pow x 2)))) (pow x 2))) 1/20160)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/360 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/20160 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 4))) (+ 1/20160 (* 1/360 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))))

rewrite245.0ms (2.6%)

Memory
6.8MiB live, 341.9MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039399
062399
1252390
21936382
08625352
Stop Event
iter limit
node limit
iter limit
Counts
22 → 442
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64))
(fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
#s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))))
(*.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) (-.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/12 binary64) (neg.f64 x))) x #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/12 binary64) x)) (fabs.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/12 binary64) x)) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (fabs.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (fabs.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/12 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/12 binary64) x) #s(literal 1 binary64))
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(/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x))) (*.f64 (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/1728 binary64))) (*.f64 (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x))) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x))))
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) x #s(literal 1/12 binary64))
(fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) #s(literal 1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) x))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) x))))
(-.f64 (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64))))
(-.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x)) x))
(-.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x))))) (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x))))))
(+.f64 (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x))))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x))))))
(+.f64 (/.f64 #s(literal 1/1728 binary64) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x)))))
(+.f64 (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x)))) (/.f64 #s(literal 1/1728 binary64) (-.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/144 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) (*.f64 #s(literal 1/12 binary64) x)))))
(+.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) x) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) x) x))
#s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/20160 binary64) (neg.f64 x))) x)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/20160 binary64) x)) x)
(*.f64 (*.f64 #s(literal 1/20160 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/20160 binary64) x) x)
(*.f64 #s(literal 1/20160 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/20160 binary64))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/20160 binary64)))
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/20160 binary64))))
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/20160 binary64) x)))
(*.f64 x (*.f64 #s(literal 1/20160 binary64) x))
(sqrt.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))))
(fabs.f64 (*.f64 #s(literal 1/20160 binary64) (*.f64 x x)))

eval105.0ms (1.1%)

Memory
-32.7MiB live, 164.0MiB allocated; 42ms collecting garbage
Compiler

Compiled 29 531 to 2 670 computations (91% saved)

prune15.0ms (0.2%)

Memory
44.8MiB live, 44.8MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New5971598
Fresh000
Picked134
Done077
Total59811609
Accuracy
100.0%
Counts
609 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
52.8%
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
52.4%
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
50.4%
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
98.2%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)) (*.f64 x x)) x x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
98.2%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 596 to 254 computations (57.4% saved)

regimes12.0ms (0.1%)

Memory
-26.6MiB live, 19.1MiB allocated; 6ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/20160 binary64) (*.f64 x x) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
Calls

2 calls:

7.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.6%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.6%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) x) x)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* x x) 1/20160) 1/360) (*.f64 #s(literal 1/20160 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
Calls

2 calls:

3.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.6%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.6%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* (+ (* (* x x) 1/20160) 1/360) (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 2 binary64) #s(approx (cosh x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.3%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.3%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Calls

2 calls:

1.0ms
x
1.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
98.2%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
98.2%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
50.4%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
50.4%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify56.0ms (0.6%)

Memory
-41.9MiB live, 58.4MiB allocated; 16ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03292
15192
29992
332592
4188684
5733484
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/20160 binary64) #s(literal 1/360 binary64)) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) x) x #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))

derivations940.0ms (9.9%)

Memory
29.7MiB live, 796.4MiB allocated; 134ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0121565
1443549
21442546
36054546
08489516
060160
1208159
2664153
32594153
47057153
08435136
0717
01217
15217
242315
3768915
0810115
035237
056237
1259224
22054224
09947219
030188
050188
1221180
21878180
09265180
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 92 to 33 computations (64.1% saved)

preprocess40.0ms (0.4%)

Memory
-6.4MiB live, 81.4MiB allocated; 10ms collecting garbage
Remove

(abs x)

Compiler

Compiled 280 to 128 computations (54.3% saved)

end0.0ms (0%)

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

Profiling

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