Hyperbolic sine

Time bar (total: 7.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 10 to 9 computations (10% saved)

sample1.9s (26.2%)

Memory
-14.8MiB live, 1 668.0MiB allocated; 286ms collecting garbage
Samples
883.0ms1 615×2valid
456.0ms2 418×1valid
250.0ms4 223×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-exp: 896.0ms (67.4% of total)
ival-div: 159.0ms (12% of total)
adjust: 112.0ms (8.4% of total)
ival-sub: 91.0ms (6.8% of total)
ival-neg: 57.0ms (4.3% of total)
ival-true: 6.0ms (0.5% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain202.0ms (2.8%)

Memory
-15.7MiB live, 276.2MiB allocated; 31ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1380-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
00-0-(exp.f64 x)
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 (exp.f64 x) (exp.f64 (neg.f64 x)))cancellation1381
Confusion
Predicted +Predicted -
+1380
-0118
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13800
-01117
Precision?
0.9928057553956835
Recall?
1.0
Freqs
test
numberfreq
0118
1138
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
75.0ms164×1valid
51.0ms110×2valid
14.0ms238×0valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-exp: 55.0ms (70.4% of total)
ival-div: 8.0ms (10.2% of total)
adjust: 8.0ms (10.2% of total)
ival-sub: 4.0ms (5.1% of total)
ival-neg: 3.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess152.0ms (2.1%)

Memory
13.8MiB live, 246.9MiB allocated; 22ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs x)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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
▶49.7%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify131.0ms (1.8%)

Memory
30.3MiB live, 212.4MiB allocated; 31ms 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-diff2
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
cost-diff4
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Iterations

Useful iterations: 4 (0.0ms)

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

localize101.0ms (1.4%)

Memory
-22.9MiB live, 77.1MiB allocated; 29ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.0
(exp.f64 (neg.f64 x))
accuracy0.0
(exp.f64 x)
accuracy32.22637856197158
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Samples
49.0ms82×1valid
26.0ms55×2valid
19.0ms119×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-div: 32.0ms (46% of total)
ival-exp: 28.0ms (40.3% of total)
adjust: 5.0ms (7.2% of total)
ival-sub: 3.0ms (4.3% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Counts
5 → 23
Calls
Call 1
Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(exp.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1 x)
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
(exp (neg x))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(exp (* -1 x))
Calls

3 calls:

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

simplify199.0ms (2.8%)

Memory
22.6MiB live, 167.3MiB allocated; 49ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite175.0ms (2.4%)

Memory
-23.2MiB live, 255.6MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval68.0ms (0.9%)

Memory
-12.6MiB live, 88.7MiB allocated; 11ms collecting garbage
Compiler

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

prune9.0ms (0.1%)

Memory
26.6MiB live, 26.6MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4405445
Fresh000
Picked101
Done000
Total4415446
Accuracy
100.0%
Counts
446 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶90.8%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶84.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶56.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
▶100.0%
(sinh.f64 x)
Compiler

Compiled 160 to 106 computations (33.8% saved)

simplify175.0ms (2.4%)

Memory
8.0MiB live, 196.8MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize249.0ms (3.4%)

Memory
-11.1MiB live, 245.3MiB allocated; 95ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy0.05859375
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.2975152447174023
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy3.7872821376051173
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0.015625
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy0.0625
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
accuracy0.26899711604616006
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy5.884582559228886
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0.0
(*.f64 x x)
accuracy0.046875
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
accuracy0.109375
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
accuracy10.00340464843368
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy0.0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy27.896786146090264
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(sinh.f64 x)
Samples
88.0ms119×0valid
88.0ms82×1valid
52.0ms55×2valid
Compiler

Compiled 198 to 30 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-mult: 123.0ms (59.9% of total)
ival-exp: 22.0ms (10.7% of total)
adjust: 21.0ms (10.2% of total)
ival-add: 15.0ms (7.3% of total)
const: 12.0ms (5.8% of total)
ival-sub: 7.0ms (3.4% of total)
ival-div: 3.0ms (1.5% of total)
ival-sinh: 2.0ms (1% 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)

series34.0ms (0.5%)

Memory
-25.2MiB live, 19.9MiB allocated; 6ms collecting garbage
Counts
20 → 51
Calls
Call 1
Inputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(pow x 2)
1/3
(+ 1/3 (* 1/60 (pow x 2)))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/60 (pow x 2))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 2))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
27.0ms
x
@inf
((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))
4.0ms
x
@-inf
((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))
2.0ms
x
@0
((sinh x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* 2 x) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* 1/3 (* x x)) 2) x) (+ (* 1/3 (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* 1/60 (* x x)) 1/3) (* x x)) 2) (/ (- (exp x) (exp (neg x))) 2) (- (exp x) (exp (neg x))) (* (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) x) (+ (* (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3) (* x x)) 2) (* x x) (+ (* 1/60 (* x x)) 1/3) (+ (* 1/2520 (* x x)) 1/60) (+ (* (+ (* 1/2520 (* x x)) 1/60) (* x x)) 1/3))

simplify171.0ms (2.4%)

Memory
26.1MiB live, 170.7MiB allocated; 14ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite204.0ms (2.8%)

Memory
10.5MiB live, 245.5MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval137.0ms (1.9%)

Memory
-36.9MiB live, 109.6MiB allocated; 16ms collecting garbage
Compiler

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

prune17.0ms (0.2%)

Memory
26.2MiB live, 26.2MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New52811539
Fresh000
Picked415
Done000
Total53212544
Accuracy
100.0%
Counts
544 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
▶56.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
94.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
72.6%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
94.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶94.0%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶94.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
90.8%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶84.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶90.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
33.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
✓100.0%
(sinh.f64 x)
Compiler

Compiled 562 to 360 computations (35.9% saved)

simplify172.0ms (2.4%)

Memory
9.6MiB live, 102.9MiB allocated; 4ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043472
072472
1122472
2350472
31341472
44732472
08050467
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
#s(literal 1/2520 binary64)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize247.0ms (3.4%)

Memory
-32.5MiB live, 112.8MiB allocated; 18ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.3443902447174023
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
accuracy3.7872821376051173
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy33.361008315695294
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)))
accuracy0.0625
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
accuracy0.32759086604616006
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
accuracy5.884582559228886
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy33.358493091923805
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
accuracy0.046875
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
accuracy0.06640625
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
accuracy0.30859375
(*.f64 #s(literal 1/3 binary64) x)
accuracy10.00340464843368
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
accuracy0.0
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
accuracy0.0
(+.f64 x x)
accuracy27.896786146090264
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
accuracy0.05859375
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.1875
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
accuracy0.2975152447174023
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
accuracy3.7872821376051173
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
Samples
73.0ms119×0valid
49.0ms55×2valid
48.0ms82×1valid
Compiler

Compiled 300 to 34 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-mult: 41.0ms (28.5% of total)
ival-sub: 33.0ms (22.9% of total)
ival-exp: 22.0ms (15.3% of total)
adjust: 19.0ms (13.2% of total)
ival-add: 12.0ms (8.3% of total)
const: 12.0ms (8.3% of total)
ival-div: 3.0ms (2.1% 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)

series9.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Counts
28 → 56
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/60 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
Calls

3 calls:

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

simplify145.0ms (2%)

Memory
-17.0MiB live, 82.5MiB allocated; 10ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125594
1482588
21527584
36396584
08485555
Stop Event
1×iter limit
1×node limit
Counts
56 → 55
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/60 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))

rewrite296.0ms (4.1%)

Memory
9.6MiB live, 240.7MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043446
072426
1248426
21721426
08551421
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 438
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (+.f64 x x))
(+.f64 x x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2520 binary64) (*.f64 x x))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64))
Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal -2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
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(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))))))
(+.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)))

eval98.0ms (1.4%)

Memory
5.0MiB live, 92.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 26 858 to 2 866 computations (89.3% saved)

prune26.0ms (0.4%)

Memory
-19.1MiB live, 37.1MiB allocated; 12ms collecting garbage
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New4827489
Fresh336
Picked235
Done011
Total48714501
Accuracy
100.0%
Counts
501 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
✓56.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
72.6%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
94.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶94.0%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
94.0%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶94.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶94.0%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
90.8%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶90.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓84.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓90.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
▶33.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
✓100.0%
(sinh.f64 x)
Compiler

Compiled 660 to 430 computations (34.8% saved)

simplify133.0ms (1.8%)

Memory
31.1MiB live, 159.6MiB allocated; 18ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
052694
088680
1148680
2363680
31357680
44611680
08019670
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64))
(*.f64 #s(literal 1/2520 binary64) x)
#s(literal 1/2520 binary64)
x
#s(literal 1/60 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64))
(*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x)
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(*.f64 x x)
x
#s(literal 1/2520 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64))
(*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x)
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(*.f64 x x)
x
#s(literal 1/2520 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64))
(*.f64 #s(literal 1/2520 binary64) x)
#s(literal 1/2520 binary64)
x
#s(literal 1/60 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x))
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) x)
(*.f64 x x)
x
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x) #s(literal 2 binary64))
(*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x)
(*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) x)
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
#s(literal 1/60 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(*.f64 x x)
x
#s(literal 1/2520 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (exp x) (exp (neg x))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x)
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(*.f64 x x)
x
#s(literal 1/2520 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)

localize276.0ms (3.8%)

Memory
4.5MiB live, 346.3MiB allocated; 49ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x)
accuracy0.3443902447174023
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
accuracy3.7872821376051173
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
accuracy33.361008315695294
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
accuracy0.1875
(*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x)
accuracy0.3443902447174023
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
accuracy3.7872821376051173
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
accuracy33.361008315695294
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
accuracy0.19140625
(*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x)
accuracy0.32759086604616006
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
accuracy5.884582559228886
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x))
accuracy33.358493091923805
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
accuracy0.046875
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
accuracy0.21484375
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
accuracy10.00340464843368
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
accuracy33.352761891758064
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
accuracy0.05859375
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.09375
(fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64))
accuracy0.1875
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
accuracy3.7872821376051173
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
Samples
88.0ms82×1valid
65.0ms55×2valid
39.0ms119×0valid
Compiler

Compiled 408 to 48 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-mult: 49.0ms (34.5% of total)
adjust: 30.0ms (21.1% of total)
ival-exp: 26.0ms (18.3% of total)
ival-add: 17.0ms (12% of total)
const: 12.0ms (8.4% of total)
ival-div: 3.0ms (2.1% of total)
ival-sub: 2.0ms (1.4% 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)

series9.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Counts
31 → 62
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
(*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x)
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x)
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/3 (pow x 2))
(* 1/60 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 3))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
Calls

3 calls:

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

simplify145.0ms (2%)

Memory
-35.9MiB live, 153.1MiB allocated; 20ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131634
1509628
21598624
36694624
08263592
Stop Event
1×iter limit
1×node limit
Counts
62 → 61
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
2
(+ 2 (* 1/3 (pow x 2)))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
1/60
(+ 1/60 (* 1/2520 (pow x 2)))
1/3
(+ 1/3 (* 1/60 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(* 1/3 (pow x 2))
(* 1/60 (pow x 2))
(* 1/2520 (pow x 2))
(* 1/60 x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(* 1/2 (- (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(* 1/2520 (pow x 7))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/2520 (pow x 6))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(* 1/60 (pow x 5))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/60 (pow x 4))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 1/2520 (pow x 5))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 4))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/60 (pow x 3))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2520 (pow x 3))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(* 1/2 (- (exp x) (exp (* -1 x))))
(- (exp x) (exp (* -1 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
Outputs
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/60 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/60 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/60 binary64))
(* 1/2520 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(* 1/60 x)
(*.f64 #s(literal 1/60 binary64) x)
(* x (+ 1/60 (* 1/2520 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(* 1/2 (- (exp x) (exp (neg x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (neg x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* 1/2520 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow x 7) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/2520 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2520 binary64))
(* (pow x 6) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))))
(* (pow x 6) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (+ (* 1/60 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1/3 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 2 binary64))
(* 1/60 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/60 binary64))
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/60 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/60 binary64))
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/60 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/2520 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2520 binary64))
(* (pow x 5) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 5) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))))
(* (pow x 2) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow x 4) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64)))
(* (pow x 4) (+ 1/2520 (+ (/ 1/3 (pow x 4)) (* 1/60 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/60 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/60 binary64))
(* (pow x 3) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) x)
(* 1/2520 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2520 binary64))
(* (pow x 3) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) x)
(* 1/2 (- (exp x) (exp (* -1 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(- (exp x) (exp (* -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2520 (* 1/60 (/ 1 (pow x 2)))))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 x x)) #s(literal 1/2520 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/60 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/2520)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/60 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2520 binary64))))

rewrite212.0ms (2.9%)

Memory
40.2MiB live, 229.2MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052603
088572
1306572
21697572
08441562
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
31 → 426
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)
#s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
#s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/60 binary64) (*.f64 x x))
(*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x)
#s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2520 binary64))
(*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x)
Outputs
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))) #s(literal -2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal -2 binary64)))
#s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) x) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) x) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) x)) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x)) (-.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x)) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 4 binary64)) x)) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (-.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)))))
(fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) x))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 x (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x))))
(fma.f64 x (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) x))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 x (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 x (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x)) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x))))
(*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x)
(*.f64 x #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))))

eval81.0ms (1.1%)

Memory
-12.0MiB live, 135.0MiB allocated; 23ms collecting garbage
Compiler

Compiled 24 003 to 2 639 computations (89% saved)

prune22.0ms (0.3%)

Memory
10.3MiB live, 56.6MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New4295434
Fresh235
Picked235
Done044
Total43315448
Accuracy
100.0%
Counts
448 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
✓56.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
72.6%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
94.1%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓94.0%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
94.0%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
90.8%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/2520 x) x) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓94.0%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
94.0%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
90.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓84.4%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓90.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
✓33.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
33.5%
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
✓100.0%
(sinh.f64 x)
Compiler

Compiled 1 122 to 449 computations (60% saved)

regimes21.0ms (0.3%)

Memory
-3.3MiB live, 42.4MiB allocated; 3ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/2520 x) x) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sinh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
Calls

3 calls:

9.0ms
x
5.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
100.0%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes21.0ms (0.3%)

Memory
-16.3MiB live, 37.3MiB allocated; 5ms collecting garbage
Counts
27 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/2520 x) x) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) x) x #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal -1/2520 binary64) (*.f64 x x)))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Calls

3 calls:

10.0ms
x
5.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
94.1%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
94.1%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
94.1%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes16.0ms (0.2%)

Memory
-15.1MiB live, 31.0MiB allocated; 2ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/2520 x) x) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 #s(literal 1/2520 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64))) x) x #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Calls

3 calls:

6.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms
x
4.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
94.0%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
94.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
94.0%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes11.0ms (0.2%)

Memory
28.5MiB live, 28.5MiB allocated; 0ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* (* 1/2520 x) x) 1/60) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Calls

3 calls:

4.0ms
x
3.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
3.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
90.8%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
90.8%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
90.8%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes11.0ms (0.2%)

Memory
-15.1MiB live, 30.2MiB allocated; 2ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 (*.f64 #s(literal 1/60 binary64) x) x)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Calls

3 calls:

5.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
3.0ms
x
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
90.5%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
90.5%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
90.5%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes10.0ms (0.1%)

Memory
-8.7MiB live, 31.2MiB allocated; 3ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
84.4%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
84.4%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
84.4%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
84.4%1(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
84.4%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
84.4%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* (* 1/3 x) x) 2) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64))
Calls

3 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
1.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
84.1%2x
84.1%2(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
84.1%2(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes3.0ms (0%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

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

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.009407562709600414
+inf
Compiler

Compiled 11 to 11 computations (0% saved)

simplify67.0ms (0.9%)

Memory
7.8MiB live, 92.9MiB allocated; 29ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
071209
1103209
2195209
3480209
41252191
Stop Event
1×node limit
Calls
Call 1
Inputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))
Outputs
(sinh.f64 x)
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 x x) #s(literal 1/60 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/2520 (* x x)) 1/60) (*.f64 (*.f64 #s(literal 1/2520 binary64) x) x)) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(approx (+ (* 1/60 (* x x)) 1/3) (*.f64 #s(literal 1/60 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(if (<=.f64 (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64)) (/.f64 #s(approx (- (exp x) (exp (neg x))) (*.f64 #s(approx (+ (* 1/3 (* x x)) 2) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) #s(literal 2 binary64)))
(/.f64 #s(approx (- (exp x) (exp (neg x))) (+.f64 x x)) #s(literal 2 binary64))

derivations1.2s (16.5%)

Memory
-11.3MiB live, 788.0MiB allocated; 228ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052603
088572
1306572
21697572
08441562
074184
1279183
2903177
33536177
46904177
08034157
029251
051235
1190235
21323235
08361235
043446
072426
1248426
21721426
08551421
0120526
1447520
21435517
36195517
08270491
0721
01213
14313
229813
3465913
0946313
Stop Event
1×fuel
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×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 209 to 75 computations (64.1% saved)

preprocess75.0ms (1%)

Memory
-7.5MiB live, 182.3MiB allocated; 24ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 438 to 168 computations (61.6% saved)

end0.0ms (0%)

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

Profiling

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