expq2 (section 3.11)

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%75.2%24.8%0%0%0%0
0%0%75.2%24.8%0%0%0%1
50%37.6%37.6%24.8%0%0%0%2
75%56.4%18.8%24.8%0%0%0%3
87.5%65.8%9.4%24.8%0%0%0%4
93.8%70.5%4.7%24.8%0%0%0%5
96.9%72.8%2.3%24.8%0%0%0%6
98.4%74%1.2%24.8%0%0%0%7
99.2%74.6%0.6%24.8%0%0%0%8
99.6%74.9%0.3%24.8%0%0%0%9
99.8%75%0.1%24.8%0%0%0%10
99.9%75.1%0.1%24.8%0%0%0%11
100%75.1%0%24.8%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample689.0ms (13.6%)

Memory
12.7MiB live, 914.2MiB allocated
Samples
463.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 248.0ms
ival-exp: 68.0ms (27.4% of total)
ival-expm1: 64.0ms (25.8% of total)
ival-div: 61.0ms (24.6% of total)
ival->: 42.0ms (16.9% of total)
exact: 7.0ms (2.8% of total)
adjust: 3.0ms (1.2% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain75.0ms (1.5%)

Memory
-12.0MiB live, 83.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1620-0-(-.f64 (exp.f64 x) #s(literal 1 binary64))
00-0-(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(exp.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) #s(literal 1 binary64))cancellation1620
Confusion
Predicted +Predicted -
+1620
-094
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16200
-0094
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
094
1162
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (33.4% of total)
ival-exp: 4.0ms (33.4% of total)
ival-expm1: 3.0ms (25.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess134.0ms (2.7%)

Memory
19.6MiB live, 108.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
12119
26219
318619
486419
057
087
1137
2267
3567
42297
520697
666497
087415
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.8%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify129.0ms (2.6%)

Memory
4.7MiB live, 100.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
cost-diff2
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11315
22615
35615
422915
5206915
6664915
0874111
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
#s(literal 1 binary64)

localize21.0ms (0.4%)

Memory
-24.5MiB live, 20.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 x)
accuracy0.0078125
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
accuracy37.52446252652196
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Samples
16.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-exp: 7.0ms (63.1% of total)
ival-div: 2.0ms (18% of total)
ival-expm1: 2.0ms (18% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
3 → 15
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
Outputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(exp x)
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x))
1.0ms
x
@-inf
((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x))
1.0ms
x
@0
((- (exp x) 1) (/ (exp x) (- (exp x) 1)) (exp x))

simplify153.0ms (3%)

Memory
45.3MiB live, 131.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044111
1166111
2530105
31942105
45239105
0808987
Stop Event
iter limit
node limit
Counts
15 → 14
Calls
Call 1
Inputs
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(- (exp x) 1)
(/ (exp x) (- (exp x) 1))
(exp x)
Outputs
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(- (exp x) 1)
(expm1.f64 x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp x)
(exp.f64 x)

rewrite225.0ms (4.5%)

Memory
-55.8MiB live, 195.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13013
217713
3180913
096269
Stop Event
iter limit
node limit
iter limit
Counts
3 → 466
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(exp.f64 x)
Outputs
(*.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (expm1.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (neg.f64 (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))))) (/.f64 (expm1.f64 x) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (/.f64 (expm1.f64 x) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (expm1.f64 x) (/.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (expm1.f64 x) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (expm1.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (-.f64 (*.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))) (*.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (neg.f64 (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64))
(/.f64 (neg.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))))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (neg.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))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (neg.f64 (cosh.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 (neg.f64 x)))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(/.f64 (fabs.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))))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (fabs.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))) (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (fabs.f64 (fabs.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (exp.f64 x))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x)))))))
(/.f64 (sqrt.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))))) (sqrt.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (sqrt.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))) (sqrt.f64 (*.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))) (exp.f64 (neg.f64 x)))))
(/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (-.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.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)))) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(/.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)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 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 (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (cosh.f64 x))))))
(/.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 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.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 (sinh.f64 x) (cosh.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 (sinh.f64 x) (cosh.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 x) (*.f64 #s(literal 1 binary64) (cosh.f64 x)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (sinh.f64 x)))
(sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))
(fabs.f64 (neg.f64 (exp.f64 x)))
(fabs.f64 (exp.f64 x))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.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 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (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 (sinh.f64 x) (cosh.f64 x))))))
(+.f64 (/.f64 (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 (sinh.f64 x) (cosh.f64 x))))) (/.f64 (pow.f64 (sinh.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 (sinh.f64 x) (cosh.f64 x))))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 4 binary64)))
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.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 x)))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (sinh.f64 x))
(+.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (sinh.f64 x) (cosh.f64 x)))))
(+.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (cosh.f64 x) (sinh.f64 x))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 x)

eval83.0ms (1.6%)

Memory
37.7MiB live, 126.6MiB allocated
Compiler

Compiled 14 895 to 1 739 computations (88.3% saved)

prune63.0ms (1.2%)

Memory
-21.1MiB live, 25.6MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5675572
Fresh000
Picked101
Done000
Total5685573
Accuracy
100.0%
Counts
573 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.8%
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
64.3%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
64.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
64.6%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
Compiler

Compiled 112 to 84 computations (25% saved)

simplify141.0ms (2.8%)

Memory
27.2MiB live, 121.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(expm1.f64 x)
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 (exp.f64 x) (expm1.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020112
031112
141112
266112
3113112
4337112
52146112
65446112
09253112
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
x
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
x
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(literal 1/12 binary64)
x
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 x)
x
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize41.0ms (0.8%)

Memory
-3.5MiB live, 41.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 x)
accuracy0.0078125
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy22.940375947169496
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy37.52446252652196
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy0.11947250976844202
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy22.851240594702116
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
accuracy22.68767028838971
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy22.612953808314764
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy0.0
(expm1.f64 x)
accuracy0.0
(exp.f64 x)
accuracy0.0078125
(/.f64 (exp.f64 x) (expm1.f64 x))
Samples
28.0ms256×0valid
Compiler

Compiled 94 to 14 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 3.0ms (18.4% of total)
const: 3.0ms (18.4% of total)
ival-add: 2.0ms (12.2% of total)
ival-exp: 2.0ms (12.2% of total)
ival-mult: 2.0ms (12.2% of total)
ival-expm1: 2.0ms (12.2% of total)
ival-sub: 1.0ms (6.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
12 → 21
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
Outputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ (exp x) (- (exp x) 1))
(exp x)
(- (exp x) 1)
1/2
(+ 1/2 (/ 1 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
Calls

3 calls:

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

simplify189.0ms (3.7%)

Memory
3.6MiB live, 145.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058153
1214153
2667140
32274140
46433140
08408120
Stop Event
iter limit
node limit
Counts
21 → 20
Calls
Call 1
Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ (exp x) (- (exp x) 1))
(exp x)
(- (exp x) 1)
1/2
(+ 1/2 (/ 1 x))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp x)
(exp.f64 x)
(- (exp x) 1)
(expm1.f64 x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))

rewrite190.0ms (3.8%)

Memory
-5.8MiB live, 180.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02084
03184
111184
275484
0841084
Stop Event
iter limit
node limit
iter limit
Counts
12 → 382
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 x)
(expm1.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))
(/.f64 (*.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 x)))
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x))
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x))) (*.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))) (-.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (/.f64 (sinh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))) (*.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))))))
(/.f64 (*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))
(/.f64 (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))))
(/.f64 (*.f64 (exp.f64 x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (cosh.f64 x) (expm1.f64 x) (*.f64 (expm1.f64 x) (sinh.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (sinh.f64 x) (-.f64 (sinh.f64 x) (cosh.f64 x)) (pow.f64 (cosh.f64 x) #s(literal 2 binary64))) (expm1.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(fma.f64 (/.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 (sinh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 x)))) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 (sinh.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (cosh.f64 x) (expm1.f64 x)))
(fma.f64 (/.f64 (cosh.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x)))
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(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))

eval61.0ms (1.2%)

Memory
21.8MiB live, 66.7MiB allocated
Compiler

Compiled 15 286 to 1 492 computations (90.2% saved)

prune20.0ms (0.4%)

Memory
-12.0MiB live, 33.5MiB allocated
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New5018509
Fresh000
Picked055
Done000
Total50113514
Accuracy
100.0%
Counts
514 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.8%
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
4.4%
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
64.3%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
2.9%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
34.5%
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
64.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
64.3%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
64.6%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
33.3%
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
31.1%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
Compiler

Compiled 336 to 238 computations (29.2% saved)

simplify442.0ms (8.7%)

Memory
-71.6MiB live, 129.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033213
045211
164211
298211
3149211
4373211
51995211
66683211
08690201
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))
#s(literal 1/12 binary64)
x
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(literal 1/12 binary64)
x
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))
(neg.f64 x)
x
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64))))
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/12 binary64) x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))
#s(literal 1/12 binary64)
x
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(literal 1/12 binary64)
x
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)) (neg.f64 x))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)) (neg.f64 x))
(neg.f64 x)
x
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
#s(literal 1/12 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)

localize84.0ms (1.7%)

Memory
20.9MiB live, 125.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal -2 binary64))
accuracy32.448266343923585
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
accuracy41.72811566181082
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
accuracy0.014003759768442016
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))
accuracy0.05859375
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
accuracy21.379477888958633
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))
accuracy22.851240594702116
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))))
accuracy0.11947250976844202
(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
accuracy22.851240594702116
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
accuracy39.90176089195032
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
accuracy22.68767028838971
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
accuracy39.90176089195032
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
accuracy0.0
(pow.f64 x #s(literal -1 binary64))
accuracy0.006191259768442017
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
accuracy0.1171875
(fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))
accuracy22.851240594702116
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
Samples
64.0ms256×0valid
Compiler

Compiled 143 to 26 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 16.0ms (35% of total)
ival-pow: 9.0ms (19.7% of total)
ival-sub: 4.0ms (8.8% of total)
const: 4.0ms (8.8% of total)
ival-mult: 3.0ms (6.6% of total)
ival-exp: 2.0ms (4.4% of total)
ival-add: 2.0ms (4.4% of total)
ival-expm1: 2.0ms (4.4% of total)
ival-sqrt: 2.0ms (4.4% of total)
exact: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
17 → 24
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))
(neg.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))
Outputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (+ 1 (* 1/12 (pow x 2))) x)
(* -1 x)
(/ 1 (pow x 2))
(/ -1 (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))
(/ (exp x) (- (exp x) 1))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (/ 1 (pow x 2))))
1/2
(+ 1/2 (/ 1 x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
-1/12
(* -1 (+ 1/12 (* 1/2 (/ 1 x))))
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ -1 x)
Calls

3 calls:

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

simplify113.0ms (2.2%)

Memory
-33.0MiB live, 58.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060172
1177171
2483149
31448145
44349141
08158131
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (+ 1 (* 1/12 (pow x 2))) x)
(* -1 x)
(/ 1 (pow x 2))
(/ -1 (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))
(/ (exp x) (- (exp x) 1))
(* 1/12 x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (/ 1 (pow x 2))))
1/2
(+ 1/2 (/ 1 x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
-1/12
(* -1 (+ 1/12 (* 1/2 (/ 1 x))))
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ -1 x)
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/ (+ 1 (* 1/12 (pow x 2))) x)
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
(* -1 x)
(neg.f64 x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* x (- (* -1/12 x) 1/2)) 1) (pow x 2))
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(* x (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
-1/12
#s(literal -1/12 binary64)
(* -1 (+ 1/12 (* 1/2 (/ 1 x))))
(-.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) x))
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)

rewrite198.0ms (3.9%)

Memory
31.0MiB live, 123.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033184
045180
1176180
21201180
08279170
Stop Event
iter limit
node limit
iter limit
Counts
17 → 424
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))))
#s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))
(neg.f64 x)
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/12 binary64) x) (*.f64 #s(literal -1/12 binary64) x))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/12 binary64)) (*.f64 (neg.f64 x) #s(literal 1/12 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x)))))) (*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x))))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/144 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/12 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/12 binary64) x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/12 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/12 binary64) x) (*.f64 #s(literal -1/12 binary64) x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/12 binary64) x)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/144 binary64))) (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64))) (neg.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/144 binary64)) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) #s(literal 1/1728 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/144 binary64) (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/1728 binary64) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64) #s(literal 1/144 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/12 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/12 binary64))

eval77.0ms (1.5%)

Memory
8.7MiB live, 54.0MiB allocated
Compiler

Compiled 15 427 to 1 898 computations (87.7% saved)

prune34.0ms (0.7%)

Memory
-22.6MiB live, 22.8MiB allocated
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New3933396
Fresh123
Picked235
Done145
Total39712409
Accuracy
100.0%
Counts
409 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.8%
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
4.4%
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
2.9%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
34.5%
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
64.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
64.3%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
64.6%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
33.3%
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
34.0%
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
Compiler

Compiled 243 to 171 computations (29.6% saved)

simplify164.0ms (3.2%)

Memory
-11.2MiB live, 85.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029163
040161
156161
294161
3165161
4365161
52023161
67924161
08490153
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
#s(literal 1/12 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))
#s(literal 1/12 binary64)
x
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
#s(literal 1 binary64)
(*.f64 x x)
x
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal -1/2 binary64)

localize76.0ms (1.5%)

Memory
2.2MiB live, 47.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy32.18453558399494
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
accuracy41.72811566181082
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.2809557706044865
(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy32.448266343923585
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy41.72811566181082
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy0.0078125
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy22.940375947169496
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
accuracy37.52446252652196
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy0.33984375
(*.f64 #s(literal 1/12 binary64) x)
accuracy22.851240594702116
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
accuracy39.73287603490361
#s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.006191259768442017
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
accuracy0.1171875
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
accuracy22.851240594702116
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
Samples
48.0ms256×0valid
Compiler

Compiled 111 to 22 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-pow: 10.0ms (29% of total)
ival-div: 5.0ms (14.5% of total)
const: 4.0ms (11.6% of total)
ival-add: 3.0ms (8.7% of total)
ival-mult: 3.0ms (8.7% of total)
ival-exp: 2.0ms (5.8% of total)
ival-expm1: 2.0ms (5.8% of total)
ival-sub: 2.0ms (5.8% of total)
ival-sqrt: 2.0ms (5.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
17 → 25
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
Outputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (+ 1 (* 1/12 (pow x 2))) x)
(* 1/12 x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ 1 (pow x 2))
(pow x 2)
(/ (exp x) (- (exp x) 1))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (/ 1 (pow x 2))))
(exp x)
(* x (+ 1 (/ 1 x)))
(- (exp x) 1)
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ -1 x)
Calls

3 calls:

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

simplify126.0ms (2.5%)

Memory
36.9MiB live, 81.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066177
1241173
2715162
32350162
46581162
08462140
Stop Event
iter limit
node limit
Counts
25 → 24
Calls
Call 1
Inputs
(/ 1 x)
(/ (+ 1 (* 1/2 x)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/ (+ 1 (* 1/12 (pow x 2))) x)
(* 1/12 x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(/ 1 (pow x 2))
(pow x 2)
(/ (exp x) (- (exp x) 1))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* x (+ 1/12 (/ 1 (pow x 2))))
(exp x)
(* x (+ 1 (/ 1 x)))
(- (exp x) 1)
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(/ -1 x)
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/ (+ 1 (* 1/12 (pow x 2))) x)
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 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))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(pow x 2)
(*.f64 x x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(* x (+ 1/12 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
(exp x)
(exp.f64 x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(- (exp x) 1)
(expm1.f64 x)
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)

rewrite162.0ms (3.2%)

Memory
1.2MiB live, 97.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029148
040142
1160134
2940134
09395126
Stop Event
iter limit
node limit
iter limit
Counts
17 → 438
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))))) (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))) (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/144 binary64) (*.f64 x x))) (-.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/12 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1/12 binary64) x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))) #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -1/8 binary64))) (*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 x x)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/12 binary64) x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/1728 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/144 binary64) (*.f64 x x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/12 binary64) x (pow.f64 x #s(literal -1 binary64))))))
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(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (neg.f64 (log.f64 x)))) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))) (-.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (neg.f64 (log.f64 x))) (-.f64 (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x)))) (*.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x)))))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) x)
(/.f64 (fabs.f64 (sqrt.f64 #s(literal -1 binary64))) x)
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (neg.f64 (log.f64 x))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 x)))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(fabs.f64 (pow.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (neg.f64 (log.f64 x)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 x)))))
(+.f64 (neg.f64 (cosh.f64 (neg.f64 (log.f64 x)))) (neg.f64 (sinh.f64 (neg.f64 (log.f64 x)))))
(+.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/4 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))

eval62.0ms (1.2%)

Memory
-11.6MiB live, 78.2MiB allocated
Compiler

Compiled 11 636 to 1 453 computations (87.5% saved)

prune15.0ms (0.3%)

Memory
-9.3MiB live, 37.2MiB allocated
Pruning

14 alts after pruning (4 fresh and 10 done)

PrunedKeptTotal
New4004404
Fresh000
Picked145
Done167
Total40214416
Accuracy
100.0%
Counts
416 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.8%
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
23.0%
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
4.4%
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
91.9%
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
87.3%
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
83.2%
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
2.9%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
64.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
64.3%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
64.6%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
34.0%
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
3.2%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
Compiler

Compiled 561 to 245 computations (56.3% saved)

regimes15.0ms (0.3%)

Memory
25.9MiB live, 25.9MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
Calls

3 calls:

6.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1(exp.f64 x)
100.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
100.0%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes25.0ms (0.5%)

Memory
-22.7MiB live, 28.9MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
Outputs
(/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
Calls

3 calls:

16.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
99.0%2(exp.f64 x)
98.3%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
99.0%2x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.3%)

Memory
23.8MiB live, 23.8MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
Outputs
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
Calls

3 calls:

5.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
91.9%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
91.9%1(exp.f64 x)
91.9%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.3%)

Memory
-29.3MiB live, 17.7MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/12 binary64)))))
Outputs
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
Calls

3 calls:

4.0ms
x
3.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
87.3%1(exp.f64 x)
87.3%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
87.3%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.2%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
Outputs
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
Calls

3 calls:

3.0ms
x
3.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
83.2%1x
83.2%1(exp.f64 x)
83.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.2%)

Memory
-32.0MiB live, 15.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

3 calls:

4.0ms
(exp.f64 x)
3.0ms
x
2.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
64.7%1(exp.f64 x)
64.7%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
64.7%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory
9.8MiB live, 9.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (+ (* 1/12 x) (pow x -1)) -1/2) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
Calls

3 calls:

2.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
3.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.2%1(exp.f64 x)
3.2%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
Calls

3 calls:

1.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
1.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
3.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.2%1(exp.f64 x)
3.2%1x
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch14.0ms (0.3%)

Memory
17.9MiB live, 17.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-4.3700339371228045
-2.7557606790954967e-8
Samples
7.0ms144×0valid
Compiler

Compiled 253 to 206 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (47.9% of total)
ival-div: 1.0ms (24% of total)
ival-expm1: 1.0ms (24% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify41.0ms (0.8%)

Memory
6.7MiB live, 53.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049146
164146
291146
3140146
4350146
52035146
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))
Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
(if (<=.f64 x #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (exp.f64 x) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (- (exp x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (- (/ 1 x) -1/2)) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)))

derivations1.1s (21.1%)

Memory
2.1MiB live, 876.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058153
1214153
2667140
32274140
46433140
08408120
044111
1166111
2530105
31942105
45239105
0808987
02084
03184
111184
275484
0841084
066177
1241173
2715162
32350162
46581162
08462140
033184
045180
1176180
21201180
08279170
0513
0813
13013
217713
3180913
096269
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 146 to 53 computations (63.7% saved)

preprocess55.0ms (1.1%)

Memory
9.1MiB live, 54.1MiB allocated
Compiler

Compiled 318 to 128 computations (59.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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