exp2 (problem 3.3.7)

Time bar (total: 8.3s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample3.9s (47.1%)

Memory
89.9MiB live, 2 997.7MiB allocated; 716ms collecting garbage
Samples
2.9s5 710×2valid
513.0ms2 385×1valid
101.0ms161×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-exp: 2.1s (65.2% of total)
adjust: 610.0ms (19.2% of total)
ival-sub: 144.0ms (4.5% of total)
ival-neg: 117.0ms (3.7% of total)
ival-add: 108.0ms (3.4% of total)
ival-<=: 60.0ms (1.9% of total)
ival-fabs: 51.0ms (1.6% of total)
exact: 10.0ms (0.3% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain730.0ms (8.8%)

Memory
-57.4MiB live, 291.8MiB allocated; 893ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1182(-4.005527479380533e-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)
02(225.59360434756607)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)))cancellation1200
exp.f64(exp.f64 (neg.f64 x))sensitivity20
Confusion
Predicted +Predicted -
+1180
-4134
Precision
0.9672131147540983
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11800
-40134
Precision?
0.9672131147540983
Recall?
1.0
Freqs
test
numberfreq
0134
1122
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
167.0ms382×2valid
19.0ms124×1valid
0.0ms6×0valid
Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-exp: 112.0ms (71.2% of total)
adjust: 28.0ms (17.8% of total)
ival-sub: 8.0ms (5.1% of total)
ival-add: 6.0ms (3.8% of total)
ival-neg: 2.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess155.0ms (1.9%)

Memory
-2.9MiB live, 135.5MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0917
13317
27817
329117
4157413
5755513
078
0128
1258
2578
31818
48006
572796
086796
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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
0.0MiB live, 0.0MiB 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
▶57.5%
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify112.0ms (1.3%)

Memory
24.3MiB live, 112.9MiB allocated; 14ms collecting garbage
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
1×iter limit
1×node limit
1×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)

localize134.0ms (1.6%)

Memory
7.6MiB live, 106.0MiB allocated; 10ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (neg.f64 x))
accuracy0.0
(exp.f64 x)
accuracy0.015625
(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy27.19131206001485
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Samples
116.0ms191×2valid
9.0ms62×1valid
0.0ms3×0valid
Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-exp: 52.0ms (47.3% of total)
ival-add: 29.0ms (26.4% of total)
adjust: 24.0ms (21.8% of total)
ival-sub: 4.0ms (3.6% of total)
ival-neg: 1.0ms (0.9% 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
1.3MiB live, 1.3MiB 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)))

simplify166.0ms (2%)

Memory
-32.7MiB live, 151.2MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060160
1208159
2664153
32594153
47057153
08435136
Stop Event
1×iter limit
1×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))

rewrite167.0ms (2%)

Memory
22.2MiB live, 206.2MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0717
01217
15217
242315
3768915
0810115
Stop Event
1×iter limit
1×node limit
1×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))

eval31.0ms (0.4%)

Memory
13.6MiB live, 58.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 7 696 to 928 computations (87.9% saved)

prune6.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2534257
Fresh000
Picked101
Done000
Total2544258
Accuracy
100.0%
Counts
258 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.5%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶99.2%
#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)))
▶99.3%
#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))
▶98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 57 to 43 computations (24.6% saved)

simplify156.0ms (1.9%)

Memory
-22.1MiB live, 127.2MiB allocated; 25ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
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
(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
(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
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024126
037126
175126
2241126
31061120
44376120
08217120
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x 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)
#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)
(-.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
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.f64 x 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)
#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 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)) x) x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)) x) x)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/12 binary64)
(*.f64 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

localize267.0ms (3.2%)

Memory
-12.5MiB live, 267.9MiB allocated; 47ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
accuracy0.0
(cosh.f64 x)
accuracy27.206633308591158
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
accuracy0.0
(pow.f64 x #s(literal 4 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy0.5075596392383275
#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)))
accuracy0.00390625
(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)
accuracy0.00390625
(pow.f64 x #s(literal 3 binary64))
accuracy0.01171875
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy0.46874150674992965
#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
(*.f64 x x)
accuracy0.7596544876828473
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Samples
194.0ms191×2valid
38.0ms62×1valid
1.0ms3×0valid
Compiler

Compiled 107 to 26 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 206.0ms
ival-exp: 59.0ms (28.7% of total)
adjust: 48.0ms (23.3% of total)
ival-cosh: 41.0ms (19.9% of total)
ival-mult: 19.0ms (9.2% of total)
const: 10.0ms (4.9% of total)
ival-add: 10.0ms (4.9% of total)
ival-pow: 9.0ms (4.4% of total)
ival-sub: 7.0ms (3.4% 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)

series10.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
13 → 35
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.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))
#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))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(cosh.f64 x)
(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))))))
(pow x 3)
(pow x 4)
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)))
(- (+ (exp x) (exp (neg 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)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 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 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (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) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* 1/360 (* x x)) 1/12))
3.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (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) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* 1/360 (* x x)) 1/12))
2.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (* x x) (+ (- (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) (pow x 3) (+ (- (exp x) 2) (exp (neg x))) (+ (* (pow x 4) 1/12) (* x x)) (pow x 4) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (cosh x) (+ (* 1/360 (* x x)) 1/12))

simplify160.0ms (1.9%)

Memory
-2.1MiB live, 133.7MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085322
1306310
21001307
34283307
08097284
Stop Event
1×iter limit
1×node limit
Counts
35 → 34
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))))))
(pow x 3)
(pow x 4)
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)))
(- (+ (exp x) (exp (neg 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)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 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 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))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 3 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 #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 5 binary64)) #s(literal 1/360 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 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 (*.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)) 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))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* 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 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64))) (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 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)) #s(literal 1/360 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 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1 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))
(* 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)))
(* 1/360 (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 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 (/.f64 (-.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) #s(literal 1/360 binary64)))

rewrite160.0ms (1.9%)

Memory
34.1MiB live, 179.8MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024110
037110
1159104
21317104
08318104
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 477
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(*.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))
#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))
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(cosh.f64 x)
(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 x x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#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 (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 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))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (fma.f64 #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 4 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (fma.f64 #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 #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 #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 #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 #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 #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 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.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 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #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 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) x)) (neg.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)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.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 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))) (neg.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)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.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 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) 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))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.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 (*.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) 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))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.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 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #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 (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 (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (fma.f64 #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 #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 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64))) x (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 x (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 x x (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.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 (pow.f64 (*.f64 (fma.f64 #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 (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 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #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 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 (*.f64 (pow.f64 (fma.f64 #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 #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 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (fma.f64 #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 x x) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(+.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) x)))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64))) (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)))) (pow.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.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 (*.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.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 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
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(/.f64 (-.f64 (*.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 (*.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 (/.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 #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 (*.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 (pow.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/360 binary64) x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/360 binary64) x)) x) (*.f64 (neg.f64 (*.f64 #s(literal 1/360 binary64) x)) x) (*.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/360 binary64) x)) x)))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (*.f64 #s(literal -1/360 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 #s(literal -1/360 binary64) (*.f64 x x)) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/360 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/360 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/360 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/360 binary64))))))
(/.f64 (+.f64 (pow.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))))) #s(literal 3 binary64)) (pow.f64 (/.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))))) #s(literal 3 binary64))) (fma.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 (*.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 (*.f64 (/.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 #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 (*.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 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (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 (*.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (fma.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 (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)))) #s(literal 1/1728 binary64))) (*.f64 (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)))) (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 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (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 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #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)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x))) x #s(literal 1/12 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) x)) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/360 binary64) x)) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 #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 #s(literal 1/360 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64))))
(-.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/360 binary64) x)) x))
(-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)))
(-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/360 binary64)))
(+.f64 (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (/.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 1/46656000 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 (/.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)))

eval78.0ms (0.9%)

Memory
-2.8MiB live, 86.4MiB allocated; 12ms collecting garbage
Compiler

Compiled 18 625 to 2 245 computations (87.9% saved)

prune13.0ms (0.2%)

Memory
-10.6MiB live, 33.1MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New5344538
Fresh000
Picked224
Done000
Total5366542
Accuracy
100.0%
Counts
542 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.5%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶56.7%
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
▶56.0%
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
▶99.2%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)))
▶99.3%
#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))
✓98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 82 to 56 computations (31.7% saved)

simplify171.0ms (2%)

Memory
12.0MiB live, 158.1MiB allocated; 29ms collecting garbage
Localize:

Found 13 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025160
038160
185151
2287145
31261141
44312141
08437138
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#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))
(*.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)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#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)
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))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x 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)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 #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 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.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 (*.f64 x x) (*.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 (*.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#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)

localize352.0ms (4.2%)

Memory
-11.6MiB live, 324.8MiB allocated; 36ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 x x #s(literal 2 binary64))
accuracy0.5242007149484235
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
accuracy27.206633308591158
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
accuracy0.7827242283401452
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
accuracy27.206633308591158
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy0.12109375
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy0.5075596392383275
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 x x)
accuracy0.01171875
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy0.171875
(*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy0.46874150674992965
#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))
Samples
297.0ms191×2valid
30.0ms62×1valid
1.0ms3×0valid
Compiler

Compiled 127 to 25 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 241.0ms
adjust: 75.0ms (31.1% of total)
ival-exp: 53.0ms (22% of total)
ival-mult: 43.0ms (17.8% of total)
ival-cosh: 38.0ms (15.8% of total)
ival-add: 13.0ms (5.4% of total)
const: 10.0ms (4.1% of total)
ival-sub: 7.0ms (2.9% 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)

series6.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
14 → 34
Calls
Call 1
Inputs
(fma.f64 (*.f64 (fma.f64 #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(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(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))
(*.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 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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 4)
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)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(* 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)))))
(- (+ (exp x) (exp (neg 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 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (exp (* -1 x))) 2)
Calls

3 calls:

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

simplify146.0ms (1.8%)

Memory
18.4MiB live, 158.1MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072308
1260308
2841293
33606293
08160274
Stop Event
1×iter limit
1×node limit
Counts
34 → 33
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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 4)
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)))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(* 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)))))
(- (+ (exp x) (exp (neg 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 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(- (+ (exp x) (/ 1 (exp x))) 2)
(+ (exp x) (/ 1 (exp x)))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (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)
(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 4)
(pow.f64 x #s(literal 4 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 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) #s(literal 2 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))
(* 1/360 (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 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 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 5 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* 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 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal -1/360 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 6 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))))
(* 1/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64))
(* (pow x 4) (+ 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 4 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)))
(- (+ (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))
(* 1/360 (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))
(* -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))))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))

rewrite210.0ms (2.5%)

Memory
5.8MiB live, 287.9MiB allocated; 97ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025149
038143
1178130
21447130
09473127
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 329
Calls
Call 1
Inputs
(fma.f64 (*.f64 (fma.f64 #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(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(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))
(*.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 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
Outputs
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x) #s(literal 1 binary64)))
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(/.f64 (fma.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 (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)))) #s(literal 1/1728 binary64))) (*.f64 (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)))) (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 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (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 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #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)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x))) x #s(literal 1/12 binary64))
(fma.f64 (fabs.f64 (*.f64 x #s(literal 1/360 binary64))) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 x (fabs.f64 (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(-.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal 1/360 binary64))) x))
(-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/360 binary64)))
(-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (/.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 1/46656000 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 (/.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 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))

eval62.0ms (0.7%)

Memory
-37.4MiB live, 110.1MiB allocated; 24ms collecting garbage
Compiler

Compiled 14 399 to 1 833 computations (87.3% saved)

prune8.0ms (0.1%)

Memory
29.8MiB live, 29.8MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New4623465
Fresh000
Picked134
Done022
Total4638471
Accuracy
100.0%
Counts
471 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.5%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓56.7%
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
✓56.0%
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
✓99.2%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)))
▶99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
▶98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x) x))
▶99.2%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
✓98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 140 to 96 computations (31.4% saved)

simplify119.0ms (1.4%)

Memory
3.9MiB live, 142.5MiB allocated; 22ms collecting garbage
Localize:

Found 12 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
030278
047268
1100268
2281259
31145259
43994256
09149247
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
#s(approx (+ (* 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 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x) x)
(fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x)
(*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 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 (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 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 (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(approx (+ (* 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 (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x)
(*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)
#s(approx (+ (* 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 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.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 (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x))
(fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) x)
(*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x))
(*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))) (*.f64 x x))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
#s(literal 1/360 binary64)
(*.f64 x x)
x
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) 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 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x)) x x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) x)
(*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64)) x) x)
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/360 binary64) x) x #s(literal 1/12 binary64))
(*.f64 x #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
(*.f64 x x)

localize219.0ms (2.6%)

Memory
10.9MiB live, 290.5MiB allocated; 29ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
accuracy0.171875
(*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x))
accuracy0.24609375
(*.f64 x #s(literal 1/360 binary64))
accuracy0.46874150674992965
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
accuracy0.12890625
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
accuracy0.171875
(*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x))
accuracy0.46874150674992965
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x) x))
accuracy61.3133222194714
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 x x)
accuracy0.171875
(*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy0.46874150674992965
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
accuracy0.7042503173696067
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
Samples
173.0ms191×2valid
25.0ms62×1valid
1.0ms3×0valid
Compiler

Compiled 200 to 25 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 172.0ms
ival-exp: 85.0ms (49.5% of total)
adjust: 33.0ms (19.2% of total)
ival-mult: 25.0ms (14.6% of total)
ival-add: 12.0ms (7% of total)
const: 11.0ms (6.4% of total)
ival-sub: 4.0ms (2.3% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Counts
18 → 25
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (+ (* 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 (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x) x)
(*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) 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 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
(*.f64 x x)
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
(*.f64 x #s(literal 1/360 binary64))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
Outputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* 1/360 x)
(* 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)))))
(- (+ (exp x) (exp (neg 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 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (exp x) (exp (* -1 x))) 2)
Calls

3 calls:

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

simplify158.0ms (1.9%)

Memory
-23.3MiB live, 164.1MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062235
1224235
2701224
33043224
08366212
Stop Event
1×iter limit
1×node limit
Counts
25 → 24
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
(* 1/360 (pow x 2))
(* 1/360 x)
(* 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)))))
(- (+ (exp x) (exp (neg 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 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
(- (+ (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 (*.f64 x x) #s(literal 1/360 binary64) #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 (*.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 #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 (*.f64 x x) #s(literal 1/360 binary64) #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))
(* 1/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(* 1/360 x)
(*.f64 x #s(literal 1/360 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 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal 1/360 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (-.f64 (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(- (+ (exp x) (exp (neg x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(* 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 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal -1/360 binary64)))
(* (pow x 6) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (-.f64 (-.f64 #s(literal 1/360 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/360 binary64))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal -1/360 binary64)))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 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))))
(- (+ (exp x) (exp (* -1 x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))

rewrite184.0ms (2.2%)

Memory
21.6MiB live, 254.4MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030265
047255
1186246
21281240
08728231
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 316
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (+ (* 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 (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x) x)
(*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) 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 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x)) x x) x)
(*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
(*.f64 x x)
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
(*.f64 x #s(literal 1/360 binary64))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
Outputs
(*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) x)) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) x)) (*.f64 (/.f64 (*.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) x) (*.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) x)))))
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(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(*.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x))) x)
(*.f64 (fabs.f64 (*.f64 x #s(literal 1/360 binary64))) x)
(*.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x #s(literal 1/360 binary64)) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/360 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/360 binary64))
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/360 binary64))))
(*.f64 x (fabs.f64 (*.f64 x #s(literal 1/360 binary64))))
(*.f64 x (*.f64 x #s(literal 1/360 binary64)))
(*.f64 #s(literal 1/360 binary64) (*.f64 x x))
(sqrt.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))
(*.f64 x #s(literal 1/360 binary64))
(*.f64 #s(literal 1/360 binary64) x)
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (fma.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 1/360 binary64))) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 1/360 binary64))) x) (*.f64 (neg.f64 (*.f64 x #s(literal 1/360 binary64))) x) (*.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal 1/360 binary64))) x)))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/360 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/360 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/360 binary64))))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/360 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/360 binary64))) (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/360 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/360 binary64)))))))
(/.f64 (-.f64 #s(literal 1/1728 binary64) (pow.f64 (*.f64 #s(literal -1/360 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/144 binary64) (fma.f64 (*.f64 #s(literal -1/360 binary64) (*.f64 x x)) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)) (*.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 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))))) #s(literal 3 binary64)) (pow.f64 (/.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))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 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 (/.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 #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 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 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 (neg.f64 (-.f64 #s(literal 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64)))) (neg.f64 (neg.f64 (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 (*.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) #s(literal 1/144 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 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 (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)))) #s(literal 1/1728 binary64))) (*.f64 (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)))) (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 1/144 binary64) (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64))) (neg.f64 (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 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64) #s(literal 1/1728 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64) #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)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x))) x #s(literal 1/12 binary64))
(fma.f64 (fabs.f64 (*.f64 x #s(literal 1/360 binary64))) x #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/360 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 x (fabs.f64 (*.f64 x #s(literal 1/360 binary64))) #s(literal 1/12 binary64))
(fma.f64 x (*.f64 x #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(-.f64 (/.f64 #s(literal 1/144 binary64) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))) (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))))
(-.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal 1/360 binary64))) x))
(-.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/360 binary64)))
(-.f64 #s(literal 1/12 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/360 binary64))))
(-.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 binary64)) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))) (/.f64 #s(literal 1/1728 binary64) (+.f64 #s(literal 1/144 binary64) (-.f64 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4320 binary64))))))
(+.f64 (/.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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 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 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/46656000 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 (*.f64 x x) #s(literal 1/360 binary64)) #s(literal 1/12 binary64))
(+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))

eval50.0ms (0.6%)

Memory
-24.4MiB live, 76.8MiB allocated; 14ms collecting garbage
Compiler

Compiled 18 110 to 1 867 computations (89.7% saved)

prune11.0ms (0.1%)

Memory
26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New3943397
Fresh000
Picked123
Done145
Total3969405
Accuracy
100.0%
Counts
405 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.5%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓56.7%
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
✓56.0%
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
✓99.3%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) x #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
99.2%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) x x) x))
✓98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x) x))
99.2%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x) x) x))
99.2%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) x)) x))
✓98.8%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 469 to 203 computations (56.7% saved)

regimes9.0ms (0.1%)

Memory
-34.3MiB live, 12.1MiB allocated; 2ms collecting garbage
Counts
15 → 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(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 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))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) x)) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.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 (fma.f64 (*.f64 x #s(literal 1/360 binary64)) 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))
(+.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 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 x x)) x x) x))
Calls

2 calls:

4.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
4.0ms
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)

regimes5.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
9 → 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(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 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))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) x x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (-.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)) x)) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 x x)) x x) x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 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
99.2%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.2%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0%)

Memory
5.3MiB live, 5.3MiB 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
98.8%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
98.8%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes2.0ms (0%)

Memory
4.3MiB live, 4.3MiB 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
56.0%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
56.0%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify48.0ms (0.6%)

Memory
2.5MiB live, 48.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02871
15371
213571
344371
4211965
5781665
Stop Event
1×node limit
Calls
Call 1
Inputs
#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(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x) 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 #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 (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x) 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))

derivations271.0ms (3.3%)

Memory
-8.5MiB live, 176.1MiB allocated; 20ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 71 to 31 computations (56.3% saved)

preprocess23.0ms (0.3%)

Memory
37.3MiB live, 37.3MiB allocated; 0ms collecting garbage
Remove

(abs x)

Compiler

Compiled 228 to 120 computations (47.4% saved)

end0.0ms (0%)

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

Profiling

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