expq2 (section 3.11)

Time bar (total: 6.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)

sample866.0ms (13.6%)

Memory
18.0MiB live, 565.3MiB allocated
Samples
578.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 271.0ms
ival-exp: 130.0ms (48% of total)
ival-div: 58.0ms (21.4% of total)
ival-expm1: 47.0ms (17.3% of total)
ival->: 25.0ms (9.2% of total)
exact: 7.0ms (2.6% of total)
ival-assert: 4.0ms (1.5% of total)
Bogosity

explain71.0ms (1.1%)

Memory
-2.4MiB live, 72.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1550-0-(-.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))cancellation1550
Confusion
Predicted +Predicted -
+1550
-0101
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+15500
-00101
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0101
1155
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
23.0ms512×0valid
Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (33.8% of total)
ival-exp: 4.0ms (33.8% of total)
ival-expm1: 3.0ms (25.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess22.0ms (0.3%)

Memory
25.5MiB live, 25.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
12219
24218
37818
413212
524212
634312
744812
856512
960612
1063412
1168412
057
087
1137
2147
0145
Stop Event
iter limit
saturated
iter limit
saturated
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
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.6%
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0%)

Memory
3.5MiB live, 3.5MiB 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-diff192
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11315
21415
01411
Stop Event
iter limit
saturated
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 (0.3%)

Memory
-5.1MiB live, 32.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 x)
accuracy0.015625
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
accuracy35.61770973939883
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Samples
16.0ms256×0valid
Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 6.0ms (61.7% of total)
ival-div: 2.0ms (20.6% of total)
ival-expm1: 2.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.0MiB live, 3.0MiB 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))

simplify169.0ms (2.6%)

Memory
-13.1MiB live, 113.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044111
1122111
2258111
3574111
4829111
5972111
6994111
71088105
81506105
91981105
103369105
114928105
125214105
135579105
146128105
156868105
01025887
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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/ (+ 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(- (exp x) 1)
(expm1.f64 x)
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp x)
(exp.f64 x)

rewrite165.0ms (2.6%)

Memory
14.2MiB live, 165.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13313
218813
3180813
087749
Stop Event
iter limit
node limit
iter limit
Counts
3 → 351
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 (pow.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (expm1.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 (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 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #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 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (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 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 x))
(*.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (expm1.f64 x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x)))
(*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (expm1.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (expm1.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (expm1.f64 x) (expm1.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.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 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64)))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (exp.f64 x)))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (expm1.f64 (neg.f64 x))) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) (*.f64 (neg.f64 (expm1.f64 x)) (exp.f64 x))) (pow.f64 (expm1.f64 x) #s(literal 2 binary64)))
(/.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)))) (neg.f64 (expm1.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 (exp.f64 x) #s(literal -1 binary64)) #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 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64)))) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x))) (neg.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) 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)) (neg.f64 (expm1.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 (exp.f64 x) #s(literal -1 binary64)) #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 (exp.f64 x) #s(literal -1 binary64)) #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 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) (*.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) (/.f64 (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 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64)) (*.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 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (neg.f64 (expm1.f64 x))) (*.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (exp.f64 x) (expm1.f64 x) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)) (*.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (-.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) (*.f64 (exp.f64 x) (+.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 4 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) (expm1.f64 (*.f64 x #s(literal 6 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 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (pow.f64 (expm1.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) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (exp.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (exp.f64 x) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 x)))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 x)) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (exp.f64 x) (pow.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (expm1.f64 x)) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))))
(+.f64 (*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(+.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))))
(+.f64 (*.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x)))) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (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))) #s(literal 1 binary64)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (exp.f64 x)))
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (exp.f64 x)) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (exp.f64 x)))
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (pow.f64 (exp.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 3 binary64) x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64)) (neg.f64 x)))
(exp.f64 (fma.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64) x))
(exp.f64 (+.f64 x (*.f64 (log.f64 (expm1.f64 x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (exp.f64 x) (exp.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))))))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (exp.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(exp.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(exp.f64 (*.f64 x #s(literal 1 binary64)))
(exp.f64 x)

eval61.0ms (1%)

Memory
-6.4MiB live, 75.4MiB allocated
Compiler

Compiled 9 463 to 1 223 computations (87.1% saved)

prune10.0ms (0.1%)

Memory
-17.5MiB live, 21.3MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3796385
Fresh000
Picked101
Done000
Total3806386
Accuracy
100.0%
Counts
386 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
61.5%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
61.6%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
61.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
61.4%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 156 to 118 computations (24.4% saved)

simplify10.0ms (0.2%)

Memory
9.5MiB live, 9.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
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
(neg.f64 x)
cost-diff0
(expm1.f64 (neg.f64 x))
cost-diff0
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022144
035144
156144
285144
3136144
4165144
5171144
6204144
7264144
8294144
9300144
0300136
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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)
x
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/12 binary64)
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(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
(+.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)
Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
#s(literal -1 binary64)
(expm1.f64 (neg.f64 x))
(neg.f64 x)
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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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)
x
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/12 binary64)
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(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/12 binary64))
(*.f64 x x)
x
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
(+.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)

localize64.0ms (1%)

Memory
-4.6MiB live, 70.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0390625
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
accuracy0.05078125
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
accuracy24.626097550830863
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy0.17578125
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
accuracy24.59735655524464
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy24.68358793623305
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy24.509877334119967
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy0.0
(neg.f64 x)
accuracy0.0
(expm1.f64 (neg.f64 x))
accuracy0.01171875
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Samples
45.0ms256×0valid
Compiler

Compiled 265 to 46 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
const: 8.0ms (25.9% of total)
ival-mult: 6.0ms (19.4% of total)
ival-div: 5.0ms (16.2% of total)
ival-add: 4.0ms (12.9% of total)
ival-expm1: 3.0ms (9.7% of total)
ival-exp: 2.0ms (6.5% of total)
ival-neg: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
13 → 31
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x 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 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(pow x 2)
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg 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)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (* (* x x) -1/720) 1/12) (* x x))
2.0ms
x
@-inf
((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (* (* x x) -1/720) 1/12) (* x x))
2.0ms
x
@0
((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (neg x) (/ (exp x) (- (exp x) 1)) (/ 1 x) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (* (* x x) -1/720) 1/12) (* x x))

simplify98.0ms (1.5%)

Memory
8.1MiB live, 85.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098278
1250277
2692267
32090254
46061236
08235201
Stop Event
iter limit
node limit
Counts
31 → 31
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 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(pow x 2)
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg 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)))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 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)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(pow x 2)
(*.f64 x x)
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (/ 1 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x)
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)

rewrite179.0ms (2.8%)

Memory
-8.7MiB live, 155.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022109
035109
1150109
21132101
08381101
Stop Event
iter limit
node limit
iter limit
Counts
13 → 445
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(expm1.f64 (neg.f64 x))
(neg.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
Outputs
(*.f64 (neg.f64 (pow.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (exp.f64 x) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (-.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (expm1.f64 x) #s(literal -1 binary64)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(neg.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 x))) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (expm1.f64 (neg.f64 x)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64))
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(*.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (neg.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(*.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))
(*.f64 (expm1.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))
(pow.f64 (pow.f64 (expm1.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))))
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eval70.0ms (1.1%)

Memory
24.6MiB live, 98.7MiB allocated
Compiler

Compiled 17 712 to 1 927 computations (89.1% saved)

prune19.0ms (0.3%)

Memory
-8.7MiB live, 36.1MiB allocated
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New5779586
Fresh101
Picked145
Done000
Total57913592
Accuracy
100.0%
Counts
592 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.2%
(/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))))
100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
91.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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)))
87.8%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
82.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
61.5%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
2.7%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
61.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
61.6%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
61.4%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
32.3%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)))
3.1%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
3.0%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
Compiler

Compiled 394 to 292 computations (25.9% saved)

simplify116.0ms (1.8%)

Memory
4.0MiB live, 79.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
cost-diff0
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)))
cost-diff0
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
cost-diff0
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
cost-diff0
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
cost-diff0
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
cost-diff0
(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))
cost-diff0
(*.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)
cost-diff0
#s(approx (- (exp (neg 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))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044305
067305
1100305
2169305
3370305
4633305
51232299
62143299
73755299
84872299
96835299
08186280
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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)))
#s(literal -1 binary64)
#s(approx (- (exp (neg 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 (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)
(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))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (/ 1 x)) #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 (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(literal 1/12 binary64)
x
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #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)
x
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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)))
#s(literal -1 binary64)
#s(approx (- (exp (neg 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 (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)
(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))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (/ 1 x)) #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 (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(literal 1/12 binary64)
x
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(literal 1/2 binary64)
x
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 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))))))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 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)))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) 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))))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)))
(+.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(*.f64 x x)
#s(literal -1/720 binary64)
#s(literal 1/12 binary64)

localize146.0ms (2.3%)

Memory
-16.3MiB live, 100.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
accuracy0.1015625
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
accuracy18.7994979964356
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)
accuracy24.626097550830863
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)))
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
accuracy0.0078125
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
accuracy0.01171875
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
accuracy11.412318043246735
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
accuracy0.17578125
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
accuracy24.59735655524464
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
accuracy38.293499128891575
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
accuracy24.68358793623305
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
accuracy38.293499128891575
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
accuracy0.046875
(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))
accuracy0.05078125
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
accuracy0.15625
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
accuracy5.396504846622822
#s(approx (- (exp (neg 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))
Samples
76.0ms256×0valid
Compiler

Compiled 516 to 86 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 17.0ms (32.3% of total)
const: 12.0ms (22.8% of total)
ival-add: 10.0ms (19% of total)
ival-div: 7.0ms (13.3% of total)
ival-expm1: 3.0ms (5.7% of total)
ival-exp: 2.0ms (3.8% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
20 → 71
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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)))
#s(approx (- (exp (neg 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 (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)
(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))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #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 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(/ 1 (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (pow x 2))
-1/6
(- (* 1/24 x) 1/6)
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(/ (exp x) (- (exp x) 1))
(+ 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)))))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* 1/2 x)
(* x (- 1/2 (/ 1 x)))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (/ (+ 1/2 (/ 1 x)) x) (+ (* (* x x) -1/720) 1/12)) (/ (+ 1/2 (/ 1 x)) x) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (* (+ (/ (+ 1/2 (/ 1 x)) x) (+ (* (* x x) -1/720) 1/12)) x) (+ (* (* x x) -1/720) 1/12))
3.0ms
x
@-inf
((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (/ (+ 1/2 (/ 1 x)) x) (+ (* (* x x) -1/720) 1/12)) (/ (+ 1/2 (/ 1 x)) x) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (* (+ (/ (+ 1/2 (/ 1 x)) x) (+ (* (* x x) -1/720) 1/12)) x) (+ (* (* x x) -1/720) 1/12))
2.0ms
x
@0
((/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/ (exp x) (- (exp x) 1)) (+ 1/2 (/ 1 x)) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ (exp x) (- (exp x) 1)) (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (+ (/ (+ 1/2 (/ 1 x)) x) (+ (* (* x x) -1/720) 1/12)) (/ (+ 1/2 (/ 1 x)) x) (+ (* 1/24 x) -1/6) (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (* (+ (/ (+ 1/2 (/ 1 x)) x) (+ (* (* x x) -1/720) 1/12)) x) (+ (* (* x x) -1/720) 1/12))

simplify411.0ms (6.4%)

Memory
-97.5MiB live, 140.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0163680
1443658
21328642
34210600
08488535
Stop Event
iter limit
node limit
Counts
71 → 71
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 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(/ 1 (pow x 2))
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (pow x 2))
-1/6
(- (* 1/24 x) 1/6)
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
1/12
(+ 1/12 (* -1/720 (pow x 2)))
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(/ (exp x) (- (exp x) 1))
(+ 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)))))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* 1/2 x)
(* x (- 1/2 (/ 1 x)))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(* -1/720 (pow x 2))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(/ 1/2 x)
(/ (+ 1/2 (/ 1 x)) x)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
Outputs
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 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)
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(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))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* 1/2 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x (fma.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x))
-1/6
#s(literal -1/6 binary64)
(- (* 1/24 x) 1/6)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/24 x) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/720 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (exp x) (- (exp x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(+ 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)))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (- 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(* -1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64))
(* (pow x 3) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(fma.f64 #s(literal 1/12 binary64) x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(* -1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/720 binary64))
(* (pow x 2) (- (* 1/12 (/ 1 (pow x 2))) 1/720))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (* 1/12 (/ 1 (pow x 2)))) 1/720))
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/12 binary64)))
(* (pow x 2) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/12 (/ 1 (pow x 2))) (/ 1 (pow x 4)))) 1/720))
(+.f64 #s(literal 1/12 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* 1/24 (pow x 2))
(*.f64 (*.f64 #s(literal 1/24 binary64) x) x)
(* (pow x 2) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)
(* (pow x 2) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x)
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -1/12 binary64)) x)
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(* -1 (* (pow x 3) (- 1/720 (* 1/12 (/ 1 (pow x 2))))))
(fma.f64 #s(literal 1/12 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/720 binary64)))
(* -1 (* (pow x 3) (+ 1/720 (* -1 (/ (+ 1/12 (* 1/2 (/ 1 x))) (pow x 2))))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64))
(* -1 (* (pow x 3) (- (+ 1/720 (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 3)))) (* 1/12 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/12 binary64) x))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(* (pow x 2) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) x)

rewrite207.0ms (3.2%)

Memory
11.1MiB live, 242.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044270
067270
1265270
22093270
09263254
Stop Event
iter limit
node limit
iter limit
Counts
20 → 541
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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)))
#s(approx (- (exp (neg 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 (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)
(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))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)))
#s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))
Outputs
(*.f64 (pow.f64 #s(approx (- (exp (neg 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)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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(literal -1 binary64) (pow.f64 #s(approx (- (exp (neg 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)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 #s(approx (- (exp (neg 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)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (- (exp (neg 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)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 #s(approx (- (exp (neg 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))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- (exp (neg 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)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- (exp (neg 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)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- (exp (neg 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(literal -1 binary64) (neg.f64 (*.f64 #s(approx (- (exp (neg 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)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 #s(approx (- (exp (neg 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(literal -1 binary64) #s(approx (- (exp (neg 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)))
(neg.f64 (pow.f64 #s(approx (- (exp (neg 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)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (- (exp (neg 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)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 #s(approx (- (exp (neg 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)))) #s(literal -1 binary64)))
#s(approx (- (exp (neg 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 (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 x (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)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)) x) (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)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64))) (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)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) x (neg.f64 x))
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) x))
(fma.f64 x (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(fma.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) x) (neg.f64 x))
(+.f64 (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x) x))
(+.f64 (neg.f64 x) (*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(*.f64 (-.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)) (pow.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)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))) #s(literal -1 binary64)))
(pow.f64 (/.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)) (-.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))) (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.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 2 binary64)) (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))) (*.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)) #s(literal 1 binary64))) (*.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)) (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))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.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 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64))) (neg.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))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)) (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)))
(/.f64 (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.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 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.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)) (-.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.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 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) (neg.f64 x))) (+.f64 (pow.f64 (*.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 3 binary64)) #s(literal -1 binary64))))
(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))
(fma.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) #s(literal -1 binary64))
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eval116.0ms (1.8%)

Memory
-7.9MiB live, 110.0MiB allocated
Compiler

Compiled 32 152 to 3 354 computations (89.6% saved)

prune25.0ms (0.4%)

Memory
17.2MiB live, 53.9MiB allocated
Pruning

23 alts after pruning (14 fresh and 9 done)

PrunedKeptTotal
New58811599
Fresh134
Picked055
Done044
Total58923612
Accuracy
100.0%
Counts
612 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.2%
(/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))))
100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
82.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x))))
91.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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)))
91.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (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)))
91.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
91.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
87.8%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
90.4%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)) x #s(literal -1 binary64)) x)))
90.4%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
82.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
33.3%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)))
34.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)))
24.4%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
61.5%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
2.7%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
61.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
61.6%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
61.4%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
32.3%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)))
3.1%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
3.0%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
61.4%
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
Compiler

Compiled 817 to 626 computations (23.4% saved)

simplify130.0ms (2%)

Memory
-35.6MiB live, 85.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)
cost-diff0
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)))
cost-diff832
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))
cost-diff0
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)
cost-diff0
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)))
cost-diff0
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)
cost-diff0
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
cost-diff0
(*.f64 #s(literal 1/12 binary64) x)
cost-diff0
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
cost-diff0
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
cost-diff0
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060537
086537
1134532
2221525
3602525
41286525
52302515
65115515
08088470
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
#s(literal 1/576 binary64)
(*.f64 x x)
#s(literal -1/36 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal -1/6 binary64)
(*.f64 x x)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
#s(literal 1/24 binary64)
x
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1/6 binary64)
(*.f64 x x)
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal 1/6 binary64)
(fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64))
#s(literal 1/576 binary64)
(*.f64 x x)
#s(literal -1/36 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/12 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(literal 1/24 binary64)
x
#s(literal -1/6 binary64)
(*.f64 x x)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)))
#s(literal -1 binary64)
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)))
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
#s(literal 1/24 binary64)
x
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(literal 1/6 binary64)
(*.f64 x x)

localize150.0ms (2.3%)

Memory
23.4MiB live, 177.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
accuracy5.267458108783584
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))
accuracy18.483253884993395
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))
accuracy37.23814708934592
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)))
accuracy0.15625
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
accuracy0.15625
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
accuracy5.267458108783584
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))
accuracy37.281295092967845
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)))
accuracy0.0078125
(*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)
accuracy0.01171875
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
accuracy11.24139023387757
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))
accuracy37.675647921122994
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x))
accuracy0.390625
(*.f64 #s(literal 1/12 binary64) x)
accuracy24.480602695259964
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
accuracy37.80146047355224
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
accuracy0.13671875
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))))
accuracy0.1640625
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
accuracy5.267458108783584
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
accuracy12.626789044862278
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))
Samples
116.0ms255×0valid
2.0ms5exit
Compiler

Compiled 867 to 114 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 38.0ms (39.6% of total)
const: 22.0ms (22.9% of total)
ival-add: 17.0ms (17.7% of total)
ival-div: 10.0ms (10.4% of total)
ival-expm1: 3.0ms (3.1% of total)
ival-exp: 2.0ms (2.1% of total)
ival-sub: 1.0ms (1% of total)
ival-neg: 1.0ms (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)

series9.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
25 → 66
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 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) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)))
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
Outputs
-1/6
(- (* 1/24 x) 1/6)
(/ 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 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/12 x)
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(* 1/2 x)
(* x (+ 1/2 (* -1/6 x)))
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6))))
-6
(- (* -3/2 x) 6)
(- (* x (- (* -3/8 x) 3/2)) 6)
(- (* x (- (* x (- (* -3/32 x) 3/8)) 3/2)) 6)
1/6
(+ 1/6 (* 1/24 x))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/24 x) 1/6))
(/ 1/2 x)
(/ (+ 1/2 (* -1/6 x)) x)
(/ (+ 1/2 (* x (- (* 1/24 x) 1/6))) x)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(/ (exp x) (- (exp x) 1))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(/ 24 x)
(/ (+ 24 (* 96 (/ 1 x))) x)
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 384 (pow x 2)))) x)
(/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 1536 (/ 1 (pow x 3))) (/ 384 (pow x 2))))) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(* -1 (/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) x))
(* -1 (/ (- (* -1 (/ (+ 96 (+ (* 384 (/ 1 x)) (/ 1536 (pow x 2)))) x)) 24) x))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) x) 1/2) x) -1) x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (* 1/12 x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (+ (* 1/24 x) 1/6) (* (+ (* 1/24 x) -1/6) (* x x)) (+ (* 1/24 x) -1/6) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (+ (* 1/24 x) (- (/ 1/2 x) 1/6)))
3.0ms
x
@inf
((/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) x) 1/2) x) -1) x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (* 1/12 x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (+ (* 1/24 x) 1/6) (* (+ (* 1/24 x) -1/6) (* x x)) (+ (* 1/24 x) -1/6) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (+ (* 1/24 x) (- (/ 1/2 x) 1/6)))
2.0ms
x
@0
((/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) x) 1/2) x) -1) x) (/ (exp x) (- (exp x) 1)) (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (* 1/12 x) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* 1/2 x) -1) x) (+ (* 1/2 x) -1) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (/ -1 (- (exp (neg x)) 1)) (- (exp (neg x)) 1) (* (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) x) (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (+ (* 1/24 x) 1/6) (* (+ (* 1/24 x) -1/6) (* x x)) (+ (* 1/24 x) -1/6) (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (+ (* 1/24 x) (- (/ 1/2 x) 1/6)))

simplify185.0ms (2.9%)

Memory
-25.6MiB live, 172.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186557
1478548
21185536
33115525
08363458
Stop Event
iter limit
node limit
Counts
66 → 66
Calls
Call 1
Inputs
-1/6
(- (* 1/24 x) 1/6)
(/ 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 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1))
(* 1/12 x)
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(* 1/2 x)
(* x (+ 1/2 (* -1/6 x)))
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6))))
-6
(- (* -3/2 x) 6)
(- (* x (- (* -3/8 x) 3/2)) 6)
(- (* x (- (* x (- (* -3/32 x) 3/8)) 3/2)) 6)
1/6
(+ 1/6 (* 1/24 x))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/24 x) 1/6))
(/ 1/2 x)
(/ (+ 1/2 (* -1/6 x)) x)
(/ (+ 1/2 (* x (- (* 1/24 x) 1/6))) x)
(* 1/24 x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(/ -1 (- (exp (neg x)) 1))
(- (exp (neg x)) 1)
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(/ (exp x) (- (exp x) 1))
(* x (+ 1/12 (* 1/2 (/ 1 x))))
(* x (+ 1/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* 1/24 (pow x 3))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(/ 24 x)
(/ (+ 24 (* 96 (/ 1 x))) x)
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 384 (pow x 2)))) x)
(/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 1536 (/ 1 (pow x 3))) (/ 384 (pow x 2))))) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(* x (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(/ -1 (- (exp (* -1 x)) 1))
(- (exp (* -1 x)) 1)
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(* -1 (/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) x))
(* -1 (/ (- (* -1 (/ (+ 96 (+ (* 384 (/ 1 x)) (/ 1536 (pow x 2)))) x)) 24) x))
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
Outputs
-1/6
#s(literal -1/6 binary64)
(- (* 1/24 x) 1/6)
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 1/2 x)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* 1/12 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(/ (+ 1 (* x (+ 1/2 (* x (+ 1/12 (* -1/720 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 1/2 x) 1))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 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)
(* 1/12 x)
(*.f64 #s(literal 1/12 binary64) x)
-1
#s(literal -1 binary64)
(- (* 1/2 x) 1)
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(- (* x (+ 1/2 (* -1/6 x))) 1)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))
(- (* x (+ 1/2 (* x (- (* 1/24 x) 1/6)))) 1)
(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))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/6 x)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* x (- (* 1/24 x) 1/6))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)
-6
#s(literal -6 binary64)
(- (* -3/2 x) 6)
(fma.f64 #s(literal -3/2 binary64) x #s(literal -6 binary64))
(- (* x (- (* -3/8 x) 3/2)) 6)
(fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal -3/2 binary64)) x #s(literal -6 binary64))
(- (* x (- (* x (- (* -3/32 x) 3/8)) 3/2)) 6)
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/32 binary64) x #s(literal -3/8 binary64)) x #s(literal -3/2 binary64)) x #s(literal -6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/24 x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* -1/6 (pow x 2))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
(* (pow x 2) (- (* 1/24 x) 1/6))
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* -1/6 x)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))
(/ (+ 1/2 (* x (- (* 1/24 x) 1/6))) x)
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(* x (- 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(/ -1 (- (exp (neg x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(- (exp (neg x)) 1)
(expm1.f64 (neg.f64 x))
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (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)))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (- 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(* 1/24 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))
(* (pow x 3) (- 1/24 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x)
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)
(* (pow x 3) (- (+ 1/24 (/ 1/2 (pow x 2))) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))
(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))
(/ 24 x)
(/.f64 #s(literal 24 binary64) x)
(/ (+ 24 (* 96 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal 24 binary64)) x)
(/ (+ 24 (+ (* 96 (/ 1 x)) (/ 384 (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) #s(literal 24 binary64)) x)
(/ (+ 24 (+ (* 96 (/ 1 x)) (+ (* 1536 (/ 1 (pow x 3))) (/ 384 (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) (+.f64 (/.f64 #s(literal 1536 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 24 binary64))) x)
(* x (+ 1/24 (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(* x (- (+ 1/24 (/ 1/2 (pow x 2))) (* 1/6 (/ 1 x))))
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
(* -1 (* x (- (* 1/6 (/ 1 x)) 1/24)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
(/ -1 (- (exp (* -1 x)) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(- (exp (* -1 x)) 1)
(expm1.f64 (neg.f64 x))
(* (pow x 4) (+ 1/24 (* -1 (/ (- 1/6 (* 1/2 (/ 1 x))) x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/24 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) x) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/12)))
(fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(* -1 (* x (- (/ 1 x) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/24)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6) x)) 1/24)))
(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))
(* -1 (/ (- (* -1 (/ (+ 96 (* 384 (/ 1 x))) x)) 24) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 384 binary64) x) #s(literal 96 binary64)) x) #s(literal -24 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 96 (+ (* 384 (/ 1 x)) (/ 1536 (pow x 2)))) x)) 24) x))
(/.f64 (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1536 binary64) (*.f64 x x)) #s(literal 96 binary64)) (/.f64 #s(literal 384 binary64) x)) x) #s(literal -24 binary64)) x)
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/6) x)) 1/24)))
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))

rewrite177.0ms (2.8%)

Memory
5.4MiB live, 157.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060454
086463
1351397
22656397
08535373
Stop Event
iter limit
node limit
iter limit
Counts
25 → 622
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 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) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) x)
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)
#s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)))
#s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)
(/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64))
(*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64))
#s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x)))
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
Outputs
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 x #s(literal 1/144 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) #s(literal -1/1296 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal 1/36 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/191102976 binary64) #s(literal -1/46656 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/331776 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x x) #s(literal -1/20736 binary64))))))
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(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/24 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/24 binary64))))) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/576 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/24 binary64))))) (fma.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/36 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal -1/216 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/12 binary64) x) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(fma.f64 x #s(literal 1/24 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (+.f64 (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/24 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1/216 binary64) (+.f64 (pow.f64 (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))))
(-.f64 (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))
(+.f64 (fma.f64 x #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/6 binary64))
(+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/24 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)))
(+.f64 (*.f64 x #s(literal 1/24 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))

eval98.0ms (1.5%)

Memory
3.6MiB live, 121.6MiB allocated
Compiler

Compiled 24 704 to 3 952 computations (84% saved)

prune31.0ms (0.5%)

Memory
29.5MiB live, 66.3MiB allocated
Pruning

25 alts after pruning (14 fresh and 11 done)

PrunedKeptTotal
New57211583
Fresh639
Picked145
Done279
Total58125606
Accuracy
100.0%
Counts
606 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.2%
(/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))))
100.0%
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
91.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
92.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
91.1%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
87.8%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
82.2%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
34.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) x)))
33.3%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)))
33.3%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)))
34.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)))
34.6%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x)))
29.7%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x)))
31.0%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x)))
24.4%
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
61.5%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
2.7%
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
61.7%
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
61.6%
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
61.4%
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
61.6%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
3.1%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
3.0%
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
61.5%
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
61.4%
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
Compiler

Compiled 1 515 to 717 computations (52.7% saved)

regimes33.0ms (0.5%)

Memory
8.8MiB live, 46.9MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
Calls

3 calls:

12.0ms
(exp.f64 x)
11.0ms
x
9.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
100.0%1(exp.f64 x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes34.0ms (0.5%)

Memory
-40.6MiB live, 46.5MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
Calls

3 calls:

13.0ms
x
8.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
8.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
92.6%1x
92.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
92.6%1(exp.f64 x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes27.0ms (0.4%)

Memory
9.2MiB live, 47.8MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* (+ (* (* x x) -1/720) 1/12) x) (+ 1/2 (/ 1 x))) (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (*.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36)) (/.f64 #s(literal 24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/576 binary64) (*.f64 x x))) (-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/24 binary64) x))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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:

11.0ms
x
7.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
7.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
91.6%1x
91.6%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
91.6%1(exp.f64 x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes22.0ms (0.3%)

Memory
-9.5MiB live, 29.2MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) x)) x #s(literal -1 binary64)) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
Calls

3 calls:

8.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
7.0ms
x
6.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
90.4%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
90.4%1(exp.f64 x)
90.4%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes17.0ms (0.3%)

Memory
26.3MiB live, 26.3MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (fma.f64 #s(literal 1/24 binary64) x #s(literal -1/6 binary64)) (*.f64 x x))) x)))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

6.0ms
x
5.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
5.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
91.7%2x
91.7%2(exp.f64 x)
90.3%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes62.0ms (1%)

Memory
-7.1MiB live, 40.1MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/24 x) -1/6) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (/ 1 (/ (+ (* 1/24 x) 1/6) (+ (* 1/576 (* x x)) -1/36))) #s(literal -1/6 binary64)) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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:

51.0ms
(exp.f64 x)
6.0ms
x
5.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
87.8%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
87.8%1(exp.f64 x)
87.8%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.2%)

Memory
-16.6MiB live, 21.6MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x)))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
Calls

3 calls:

5.0ms
(exp.f64 x)
5.0ms
x
4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
86.6%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
88.0%2(exp.f64 x)
88.0%2x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (neg.f64 x))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
Calls

2 calls:

4.0ms
x
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
88.0%2x
88.0%2(exp.f64 x)
Compiler

Compiled 3 to 3 computations (0% saved)

regimes12.0ms (0.2%)

Memory
-17.7MiB live, 21.5MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
Calls

3 calls:

4.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
4.0ms
x
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
82.2%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
82.2%1x
82.2%1(exp.f64 x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
Outputs
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #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)))
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
82.7%2(exp.f64 x)
81.4%2(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
82.7%2x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

3 calls:

3.0ms
x
2.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
61.7%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
61.7%1(exp.f64 x)
61.7%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes33.0ms (0.5%)

Memory
-32.7MiB live, 6.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 #s(literal 1/12 binary64) x #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
Calls

3 calls:

29.0ms
(exp.f64 x)
2.0ms
x
1.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
3.1%1x
3.1%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
3.1%1(exp.f64 x)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB 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 (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #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
3.0%1x
3.0%1(exp.f64 x)
3.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64)))
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch14.0ms (0.2%)

Memory
9.6MiB live, 9.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-783608.6259999751
-0.00286897738220959
Samples
7.0ms144×0valid
Compiler

Compiled 487 to 386 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (47.6% of total)
ival-div: 1.0ms (23.8% of total)
ival-expm1: 1.0ms (23.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
-783608.6259999751
-0.00286897738220959
Samples
2.0ms32×0valid
Compiler

Compiled 649 to 476 computations (26.7% saved)

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

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9971351342004477
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch10.0ms (0.2%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
-783608.6259999751
-0.00286897738220959
Samples
4.0ms96×0valid
Compiler

Compiled 325 to 278 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (37.2% of total)
ival-exp: 1.0ms (37.2% of total)
ival-expm1: 1.0ms (37.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify103.0ms (1.6%)

Memory
-10.2MiB live, 30.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129405
1154405
2162405
3167405
4169405
5170405
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #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) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))
Outputs
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* 1/24 x) 1/6) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/576 binary64) (*.f64 x x) #s(literal -1/36 binary64)))) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg 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(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 x) -1/6) x) 1/2) (*.f64 (*.f64 #s(literal 1/24 binary64) x) x)) x #s(literal -1 binary64)) x)))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/12 binary64)) x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -4165829655317709/1125899906842624 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) (*.f64 (*.f64 (fma.f64 x #s(literal 1/24 binary64) #s(literal -1/6 binary64)) x) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (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)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) (- (/ 1/2 x) 1/6)) (* x x)) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))))
(if (<=.f64 (exp.f64 x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* (+ (* (+ (* 1/24 x) -1/6) x) 1/2) x) -1) #s(approx (* (+ (* 1/24 x) -1/6) (* x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) x))) x))) #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ (* 1/12 x) (+ 1/2 (/ 1 x))) (fma.f64 #s(literal 1/12 binary64) x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)))
(if (<=.f64 x #s(literal -9/2 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (- (exp (neg x)) 1) (*.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x))) #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (fma.f64 #s(literal 1/12 binary64) x #s(literal 1/2 binary64)) (/.f64 #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) (+ 1/2 (/ 1 x))) (*.f64 #s(literal 1/12 binary64) x)))
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (+ 1/2 (/ 1 x)) #s(literal 1/2 binary64)))

soundness2.2s (34.4%)

Memory
36.6MiB live, 1 075.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044111
1122111
2258111
3574111
4829111
5972111
6994111
71088105
81506105
91981105
103369105
114928105
125214105
135579105
146128105
156868105
01025887
060454
086463
1351397
22656397
08535373
0163680
1443658
21328642
34210600
08488535
022109
035109
1150109
21132101
08381101
0513
0813
13313
218813
3180813
087749
098278
1250277
2692267
32090254
46061236
08235201
0186557
1478548
21185536
33115525
08363458
044270
067270
1265270
22093270
09263254
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
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
Compiler

Compiled 747 to 409 computations (45.2% saved)

preprocess126.0ms (2%)

Memory
24.4MiB live, 146.3MiB allocated
Compiler

Compiled 836 to 294 computations (64.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...