exp2 (problem 3.3.7)

Time bar (total: 9.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample4.2s (43.2%)

Memory
45.2MiB live, 3 359.0MiB allocated; 1.5s collecting garbage
Samples
3.2s5 813×2valid
646.0ms2 314×1valid
9.0ms129×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-exp: 1.9s (55.4% of total)
adjust: 947.0ms (27% of total)
ival-sub: 307.0ms (8.8% of total)
ival-add: 181.0ms (5.2% of total)
ival-fabs: 53.0ms (1.5% of total)
ival-neg: 37.0ms (1.1% of total)
ival-<=: 24.0ms (0.7% of total)
exact: 10.0ms (0.3% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain255.0ms (2.6%)

Memory
4.5MiB live, 333.1MiB allocated; 33ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1202(-2.106118425313869e-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)
00-0-(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)))cancellation1220
Confusion
Predicted +Predicted -
+1200
-2134
Precision
0.9836065573770492
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12000
-20134
Precision?
0.9836065573770492
Recall?
1.0
Freqs
test
numberfreq
0134
1122
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
161.0ms366×2valid
21.0ms142×1valid
0.0ms4×0valid
Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-exp: 111.0ms (70.2% of total)
adjust: 26.0ms (16.4% of total)
ival-sub: 11.0ms (7% 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)

preprocess182.0ms (1.9%)

Memory
24.2MiB live, 122.8MiB allocated; 24ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0917
13317
27817
329117
4157413
5755513
078
0128
1258
2578
31818
48006
572796
086796
Stop Event
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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

simplify190.0ms (1.9%)

Memory
15.4MiB live, 159.7MiB allocated; 16ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
0721
01221
12521
25721
318121
480019
5727919
0867919
Stop Event
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)

localize204.0ms (2.1%)

Memory
-28.4MiB live, 63.4MiB allocated; 7ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 (neg.f64 x))
accuracy0.0
(exp.f64 x)
accuracy0.02734375
(-.f64 (exp.f64 x) #s(literal 2 binary64))
accuracy27.19027876514371
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Samples
171.0ms183×2valid
24.0ms71×1valid
0.0ms2×0valid
Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 182.0ms
adjust: 113.0ms (61.9% of total)
ival-exp: 61.0ms (33.4% of total)
ival-sub: 4.0ms (2.2% of total)
ival-add: 3.0ms (1.6% 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)

series1.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)))

simplify180.0ms (1.8%)

Memory
21.8MiB live, 112.6MiB allocated; 17ms collecting garbage
Algorithm
1×egg-herbie
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))

rewrite232.0ms (2.4%)

Memory
-2.5MiB live, 186.3MiB allocated; 17ms 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))

eval73.0ms (0.7%)

Memory
21.0MiB live, 63.2MiB allocated; 13ms collecting garbage
Compiler

Compiled 7 696 to 928 computations (87.9% saved)

prune36.0ms (0.4%)

Memory
-32.7MiB live, 12.4MiB allocated; 8ms 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
▶57.4%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶99.6%
#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)))
▶99.7%
#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))
▶99.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 57 to 43 computations (24.6% saved)

simplify142.0ms (1.5%)

Memory
35.9MiB live, 131.6MiB allocated; 48ms collecting garbage
Algorithm
1×egg-herbie
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 (2.7%)

Memory
-20.1MiB live, 395.5MiB allocated; 79ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
accuracy0.0
(cosh.f64 x)
accuracy27.26486977645251
(-.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)
accuracy0.00390625
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy0.24135021292182704
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy0.01171875
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
accuracy0.16557897079848735
#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)
accuracy0.5454777812286447
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Samples
210.0ms183×2valid
33.0ms71×1valid
0.0ms2×0valid
Compiler

Compiled 107 to 26 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 202.0ms
ival-exp: 58.0ms (28.6% of total)
adjust: 42.0ms (20.7% of total)
ival-cosh: 33.0ms (16.3% of total)
ival-mult: 21.0ms (10.4% of total)
ival-sub: 20.0ms (9.9% of total)
ival-add: 11.0ms (5.4% of total)
const: 10.0ms (4.9% of total)
ival-pow: 6.0ms (3% 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
15.5MiB live, 15.5MiB 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))

simplify161.0ms (1.6%)

Memory
4.0MiB live, 230.6MiB allocated; 40ms collecting garbage
Algorithm
1×egg-herbie
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)))

rewrite220.0ms (2.3%)

Memory
1.8MiB live, 190.3MiB allocated; 82ms 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)))

eval68.0ms (0.7%)

Memory
1.1MiB live, 97.4MiB allocated; 15ms collecting garbage
Compiler

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

prune10.0ms (0.1%)

Memory
29.7MiB live, 29.7MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New5326538
Fresh000
Picked224
Done000
Total5348542
Accuracy
100.0%
Counts
542 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.4%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
▶56.9%
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
▶56.1%
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
▶99.7%
#s(approx (+ (- (exp x) 2) (exp (neg 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)))
▶99.6%
#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)))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
▶99.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
✓99.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 224 to 154 computations (31.3% saved)

simplify93.0ms (1%)

Memory
-5.9MiB live, 84.2MiB allocated; 9ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
029206
045198
196190
2341186
31632180
45270180
08055180
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg 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 (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 #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)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.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)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg 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)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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))
(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))
(*.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)
(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)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #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))
(*.f64 (*.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) 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 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x 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)
#s(literal 1/12 binary64)

localize262.0ms (2.7%)

Memory
24.8MiB live, 256.3MiB allocated; 26ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy0.01171875
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
accuracy0.1015625
(*.f64 (*.f64 x x) x)
accuracy0.16557897079848735
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (*.f64 x x))
accuracy0.127285009768442
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy0.24135021292182704
#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
(fma.f64 x x #s(literal 2 binary64))
accuracy0.27618750918523594
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
accuracy27.26486977645251
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
accuracy0.593349260135426
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
accuracy27.26486977645251
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(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))
accuracy0.00390625
(fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
accuracy0.16557897079848735
#s(approx (+ (- (exp x) 2) (exp (neg 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)))
Samples
199.0ms183×2valid
37.0ms71×1valid
0.0ms2×0valid
Compiler

Compiled 161 to 29 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-exp: 50.0ms (24.5% of total)
adjust: 49.0ms (24% of total)
ival-mult: 30.0ms (14.7% of total)
ival-cosh: 29.0ms (14.2% of total)
ival-add: 22.0ms (10.8% of total)
const: 11.0ms (5.4% of total)
ival-sub: 7.0ms (3.4% of total)
ival-pow: 3.0ms (1.5% 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)

series11.0ms (0.1%)

Memory
-37.5MiB live, 10.3MiB allocated; 12ms collecting garbage
Counts
16 → 31
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg 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 (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 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(*.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 (*.f64 x x) x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) 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))))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(pow x 4)
(pow x 3)
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 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 2))
(* (pow x 2) (+ 1/360 (* 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)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (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 (* -1 x))) 2)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((+ (- (exp x) 2) (exp (neg x))) (+ (* (+ (* 1/360 (* x x)) 1/12) (pow x 4)) (* x x)) (+ (* 1/360 (* x x)) 1/12) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (+ (* x x) 2) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (* (* x x) x) (+ (* 1/360 (* x x)) 1/12)) x))
2.0ms
x
@-inf
((+ (- (exp x) 2) (exp (neg x))) (+ (* (+ (* 1/360 (* x x)) 1/12) (pow x 4)) (* x x)) (+ (* 1/360 (* x x)) 1/12) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (+ (* x x) 2) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (* (* x x) x) (+ (* 1/360 (* x x)) 1/12)) x))
1.0ms
x
@0
((+ (- (exp x) 2) (exp (neg x))) (+ (* (+ (* 1/360 (* x x)) 1/12) (pow x 4)) (* x x)) (+ (* 1/360 (* x x)) 1/12) (* x x) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (- (* 2 (cosh x)) 2) (* 2 (cosh x)) (+ (* x x) 2) (* (* x x) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (+ (* (* (* x x) (* x x)) 1/12) (* x x)) (* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (* (* x x) x) (+ (* 1/360 (* x x)) 1/12)) x))

simplify131.0ms (1.3%)

Memory
37.9MiB live, 126.1MiB allocated; 11ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072279
1255267
2822264
33520264
08264246
Stop Event
1×iter limit
1×node limit
Counts
31 → 30
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))))))))
1/12
(+ 1/12 (* 1/360 (pow x 2)))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(pow x 4)
(pow x 3)
x
(* x (+ 1 (* 1/12 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 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 2))
(* (pow x 2) (+ 1/360 (* 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)))))
(* 1/12 (pow x 4))
(* (pow x 4) (+ 1/12 (/ 1 (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 (* -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 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
#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))
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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64) x) x #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(fma.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(literal 2 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
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)
(- (+ (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 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* 1/360 (pow x 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) (/ 1 (exp x))) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 2 binary64) (exp.f64 x)))
(+ (exp x) (/ 1 (exp x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(* (pow x 2) (+ 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 2 binary64))
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/360 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64))
(* (pow x 5) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 x x)) #s(literal -1/360 binary64)))
(* (pow x 5) (+ 1/360 (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/360 binary64)) (/.f64 #s(literal -1/12 binary64) (*.f64 x x))))
(- (+ (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 #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))))

rewrite272.0ms (2.8%)

Memory
11.4MiB live, 199.5MiB allocated; 143ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029179
045159
1204153
21698153
08525153
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 504
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg 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 (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 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) #s(literal 2 binary64))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 2 binary64))
(*.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 (*.f64 x x) x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.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))
(*.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)
(*.f64 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))
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(+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/360 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/12 binary64)) x))
(+.f64 (*.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))
(+.f64 (*.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 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))))

eval86.0ms (0.9%)

Memory
-27.2MiB live, 114.5MiB allocated; 19ms collecting garbage
Compiler

Compiled 20 391 to 2 184 computations (89.3% saved)

prune13.0ms (0.1%)

Memory
-4.9MiB live, 40.3MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New6302632
Fresh011
Picked145
Done022
Total6319640
Accuracy
100.0%
Counts
640 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.4%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓56.9%
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
✓56.1%
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
▶99.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x)))
✓99.6%
#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)))
▶99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
✓99.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
▶99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
✓99.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 152 to 102 computations (32.9% saved)

simplify104.0ms (1.1%)

Memory
18.7MiB live, 115.1MiB allocated; 21ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x)))
cost-diff4
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
cost-diff0
(fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x)
cost-diff0
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)
cost-diff0
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
cost-diff2
(*.f64 (*.f64 x x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027181
040175
187163
2293163
31235163
44172160
08150158
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 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
(fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
x
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)
(*.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x)
(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #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 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64) (*.f64 x x))
x
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/12 binary64)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 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))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 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 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x)
(fma.f64 (*.f64 x 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 x x)
x
#s(literal 1/360 binary64)
#s(literal 1/12 binary64)

localize218.0ms (2.2%)

Memory
-9.4MiB live, 222.2MiB allocated; 27ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x))
accuracy0.00390625
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
accuracy0.16557897079848735
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x)))
accuracy0.17578125
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
accuracy0.0
(fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
accuracy0.0
(pow.f64 x #s(literal 4 binary64))
accuracy0.109375
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
accuracy0.24135021292182704
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
accuracy0.01171875
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)
accuracy0.1015625
(*.f64 (*.f64 x x) x)
accuracy0.16557897079848735
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
accuracy0.5131936737640226
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
Samples
151.0ms183×2valid
31.0ms71×1valid
0.0ms2×0valid
Compiler

Compiled 138 to 27 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-exp: 56.0ms (36.4% of total)
adjust: 42.0ms (27.3% of total)
ival-mult: 25.0ms (16.3% of total)
ival-add: 13.0ms (8.5% of total)
const: 9.0ms (5.9% of total)
ival-sub: 4.0ms (2.6% of total)
ival-pow: 3.0ms (2% of total)
ival-neg: 1.0ms (0.7% 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
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Counts
13 → 28
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
(fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(pow.f64 x #s(literal 4 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
Outputs
(pow x 3)
(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))))))
(* 1/12 (pow x 4))
(pow x 4)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (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)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (* (* x x) x) (+ (* 1/360 (* x x)) 1/12)) x) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (pow x 4) 1/12)) (* (pow x 4) 1/12) (pow x 4) (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) (* x x)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (+ (* (* x x) 1/360) 1/12) (+ (* 1/360 (* x x)) 1/12))
2.0ms
x
@-inf
((* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (* (* x x) x) (+ (* 1/360 (* x x)) 1/12)) x) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (pow x 4) 1/12)) (* (pow x 4) 1/12) (pow x 4) (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) (* x x)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (+ (* (* x x) 1/360) 1/12) (+ (* 1/360 (* x x)) 1/12))
1.0ms
x
@0
((* (* x x) x) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* (* x x) x) (+ (* 1/360 (* x x)) 1/12)) x) x) (+ (* (* (* x x) x) (+ (* 1/360 (* x x)) 1/12)) x) (+ (- (exp x) 2) (exp (neg x))) (+ (* x x) (* (pow x 4) 1/12)) (* (pow x 4) 1/12) (pow x 4) (+ (* (* (+ (* (* x x) 1/360) 1/12) (* x x)) (* x x)) (* x x)) (+ (- (exp x) 2) (exp (neg x))) (* (+ (* (* x x) 1/360) 1/12) (* x x)) (+ (* (* x x) 1/360) 1/12) (+ (* 1/360 (* x x)) 1/12))

simplify189.0ms (1.9%)

Memory
23.6MiB live, 170.8MiB allocated; 43ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065254
1235246
2717243
33063243
08327231
Stop Event
1×iter limit
1×node limit
Counts
28 → 27
Calls
Call 1
Inputs
(pow x 3)
(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))))))
(* 1/12 (pow x 4))
(pow x 4)
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* 1/360 (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)))))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(* 1/360 (pow x 4))
(* (pow x 4) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(* 1/360 (pow x 2))
(* (pow x 2) (+ 1/360 (* 1/12 (/ 1 (pow x 2)))))
(- (+ (exp x) (exp (* -1 x))) 2)
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/12 (/ 1 (pow x 2))) (pow x 2))) 1/360)))
Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(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 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 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 (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)) (pow.f64 x #s(literal 3 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 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* 1/12 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 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))
(- (+ (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 1/360 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 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 (-.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)))
(* (pow x 4) (+ 1/12 (/ 1 (pow x 2))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/360 (pow x 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)))
(* 1/360 (pow x 2))
(*.f64 (*.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))
(- (+ (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 #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))))

rewrite183.0ms (1.9%)

Memory
-30.2MiB live, 204.7MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027167
040149
1180149
21312143
08363141
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 313
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x)
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))))
(fma.f64 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/12 binary64))
(pow.f64 x #s(literal 4 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))
Outputs
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))
(*.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)
(*.f64 x (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)))))
(/.f64 (neg.f64 (*.f64 (fma.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 (neg.f64 x) x)) x)) (neg.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #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 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))))
(/.f64 (neg.f64 (*.f64 x (fma.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 (neg.f64 x) x)))) (neg.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #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 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (*.f64 (fma.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 (neg.f64 x) x)) x) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #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 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)))
(/.f64 (*.f64 x (fma.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 (neg.f64 x) x))) (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (*.f64 x (fma.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #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 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64))) x (*.f64 x x))
(fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) (*.f64 x x))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x) (*.f64 x x))
(fma.f64 x (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 x x (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x)) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #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 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (*.f64 x x) (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) (pow.f64 x #s(literal 3 binary64)))) x))
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(/.f64 (neg.f64 (*.f64 (*.f64 x x) (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 (*.f64 #s(literal 1/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/144 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) #s(literal 1/12 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728 binary64)) (*.f64 x x)) (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) (-.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 (*.f64 (*.f64 x x) (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 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/12 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 #s(literal 1/12 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/360 binary64) (*.f64 x x)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/360 binary64) (*.f64 x x))))
(/.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 (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 #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 #s(literal 1/12 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/360 binary64) x)))
(+.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) (+.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 #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)))
#s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64))

eval50.0ms (0.5%)

Memory
22.6MiB live, 68.1MiB allocated; 2ms collecting garbage
Compiler

Compiled 13 937 to 1 395 computations (90% saved)

prune11.0ms (0.1%)

Memory
-17.3MiB live, 28.1MiB allocated; 4ms collecting garbage
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New3362338
Fresh000
Picked213
Done156
Total3398347
Accuracy
100.0%
Counts
347 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.4%
(-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
✓56.9%
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
✓56.1%
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64))))
99.7%
#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)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
✓99.7%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
✓99.6%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
✓99.1%
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
Compiler

Compiled 399 to 160 computations (59.9% saved)

regimes8.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms 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 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) (*.f64 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 (*.f64 (*.f64 x x) x) (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)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 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 x x (*.f64 (pow.f64 x #s(literal 4 binary64)) #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 (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))) (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)))
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 x x)))
Calls

2 calls:

4.0ms
x
3.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.7%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.7%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Counts
8 → 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 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) (*.f64 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 (*.f64 (*.f64 x x) x) (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)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
Outputs
#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)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.7%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.7%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* 2 (cosh x)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 x x))
(-.f64 #s(approx (* 2 (cosh x)) (fma.f64 x x #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) (*.f64 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 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 1/360 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x) x))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.7%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.7%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes8.0ms (0.1%)

Memory
-45.2MiB live, 7.3MiB allocated; 7ms collecting garbage
Counts
6 → 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 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) (*.f64 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)))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64))))
Calls

2 calls:

5.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
2.0ms
x
Results
AccuracySegmentsBranch
99.6%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.6%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
4 → 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 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
Outputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) x) x))
Calls

2 calls:

2.0ms
x
1.0ms
(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
99.6%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.6%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0%)

Memory
7.0MiB live, 7.0MiB 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
99.1%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
99.1%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes2.0ms (0%)

Memory
5.2MiB live, 5.2MiB 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
56.1%1(+.f64 (-.f64 (exp.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))
56.1%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify49.0ms (0.5%)

Memory
0.4MiB live, 46.8MiB allocated; 3ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039142
165142
2145142
3447142
42072130
57529130
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (+ (- (exp x) 2) (exp (neg x))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 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)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) 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))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/360 binary64) #s(literal 1/12 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 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)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (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))) (fma.f64 x x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64))))
#s(approx (+ (- (exp x) 2) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 1/360 (* x x)) 1/12) #s(literal 1/12 binary64)) 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))

derivations1.5s (15.7%)

Memory
-31.3MiB live, 994.8MiB allocated; 1.2s collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024110
037110
1159104
21317104
08318104
060160
1208159
2664153
32594153
47057153
08435136
072279
1255267
2822264
33520264
08264246
0717
01217
15217
242315
3768915
0810115
085322
1306310
21001307
34283307
08097284
027167
040149
1180149
21312143
08363141
029179
045159
1204153
21698153
08525153
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 142 to 42 computations (70.4% saved)

preprocess71.0ms (0.7%)

Memory
31.2MiB live, 118.8MiB allocated; 14ms collecting garbage
Remove

(abs x)

Compiler

Compiled 374 to 140 computations (62.6% saved)

end0.0ms (0%)

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

Profiling

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