NMSE Section 6.1 mentioned, A

Time bar (total: 13.0s)

analyze43.0ms (0.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.7%92.5%6.2%0.1%0%0%1.2%9
93.7%92.5%6.2%0.1%0%0%1.2%10
96.8%94.9%3.1%0.1%0%0%1.9%11
96.8%94.9%3.1%0.1%0%0%1.9%12
Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 6.0ms (28.4% of total)
ival-sub: 4.0ms (18.9% of total)
ival-div: 3.0ms (14.2% of total)
ival-add: 3.0ms (14.2% of total)
ival-exp: 3.0ms (14.2% of total)
ival-neg: 2.0ms (9.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample3.3s (25.4%)

Results
910.0ms5823×0valid
608.0ms1470×1valid
135.0ms1006×0unsamplable
916.0ms963×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-exp: 503.0ms (25.8% of total)
ival-mult: 484.0ms (24.8% of total)
ival-sub: 287.0ms (14.7% of total)
ival-div: 240.0ms (12.3% of total)
ival-add: 172.0ms (8.8% of total)
ival-neg: 146.0ms (7.5% of total)
backward-pass: 98.0ms (5% of total)
const: 21.0ms (1.1% of total)
Bogosity

preprocess253.0ms (1.9%)

Algorithm
egg-herbie
Rules
788×div-sub
516×fma-define
441×distribute-lft-neg-in
399×distribute-rgt-neg-in
365×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069777
1211693
2630658
32123658
45703658
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 eps)) x))))) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))) #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 eps)) x))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) eps)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) eps))))) #s(literal 2 binary64))
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (neg.f64 x))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 eps x x)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 eps)) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (neg.f64 x))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 eps)) x))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))) (+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 eps)) #s(literal -1 binary64)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal -2 binary64))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) eps)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) x)) eps)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (exp.f64 eps) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (exp.f64 (fma.f64 eps x eps)))) #s(literal 2 binary64))
Symmetry

(abs eps)

explain589.0ms (4.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
683(6.288315102464541e-156 8.841576285896229e-16)0-(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
00-0-x
00-0-(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
00-0-(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
00-0-#s(literal 2 binary64)
00-0-(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
00-0-(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
00-0-(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
00-0-eps
00-0-(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
00-0-(/.f64 #s(literal 1 binary64) eps)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
00-0-(+.f64 #s(literal 1 binary64) eps)
00-0-(-.f64 #s(literal 1 binary64) eps)
00-0-(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
00-0-(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
00-0-(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
137.0ms374×0valid
189.0ms72×1valid
90.0ms66×2valid
Compiler

Compiled 319 to 59 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 311.0ms
backward-pass: 120.0ms (38.6% of total)
ival-mult: 64.0ms (20.6% of total)
ival-sub: 57.0ms (18.3% of total)
ival-exp: 42.0ms (13.5% of total)
ival-div: 12.0ms (3.9% of total)
ival-add: 8.0ms (2.6% of total)
ival-neg: 7.0ms (2.3% of total)
const: 1.0ms (0.3% of total)

eval1.0ms (0%)

Compiler

Compiled 108 to 38 computations (64.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
62.6%
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
74.3%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
Compiler

Compiled 87 to 55 computations (36.8% saved)

localize1.8s (13.8%)

Algorithm
egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) eps)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff0
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) eps)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff64
(pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
cost-diff128
(*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
cost-diff0
(/.f64 #s(literal 1 binary64) eps)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff64
(*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))
cost-diff64
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
accuracy100.0%
(exp.f64 x)
accuracy100.0%
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))
accuracy74.3%
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))
accuracy100.0%
(exp.f64 (+.f64 #s(literal 1 binary64) eps))
accuracy100.0%
(*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
accuracy99.2%
(pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
accuracy74.3%
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))
accuracy100.0%
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
accuracy74.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))
Rules
646×fma-define
378×fma-neg
324×distribute-lft-out
298×distribute-lft-neg-in
295×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0431327
11001315
22231291
36431198
416941198
554561198
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(-.f64 #s(literal 1 binary64) eps)
(neg.f64 x)
x
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(exp.f64 (+.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
(neg.f64 x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
#s(literal 2 binary64)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(exp.f64 x)
x
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
(exp.f64 (fma.f64 eps x x))
(fma.f64 eps x x)
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) eps)
(neg.f64 x)
x
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 eps x x)))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))
(neg.f64 (fma.f64 eps x x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
x
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(*.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))
(exp.f64 (neg.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(exp.f64 (+.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal 1 binary64) eps)
(neg.f64 x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
#s(literal 2 binary64)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (neg.f64 (fma.f64 eps x x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(exp.f64 x)
x
(+.f64 eps #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))
(*.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(*.f64 (exp.f64 (neg.f64 (fma.f64 eps x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))
(/.f64 #s(literal -1 binary64) eps)
(exp.f64 (fma.f64 eps x x))
(fma.f64 eps x x)
#s(literal 2 binary64)
Results
1.4s95×5exit
48.0ms92×0valid
78.0ms35×1valid
79.0ms34×2valid
Compiler

Compiled 353 to 37 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-fma: 680.0ms (50% of total)
ival-pow: 339.0ms (24.9% of total)
backward-pass: 161.0ms (11.8% of total)
ival-exp: 69.0ms (5.1% of total)
ival-add: 34.0ms (2.5% of total)
ival-div: 34.0ms (2.5% of total)
ival-mult: 29.0ms (2.1% of total)
ival-sub: 7.0ms (0.5% of total)
ival-neg: 3.0ms (0.2% of total)
const: 2.0ms (0.1% of total)

series191.0ms (1.5%)

Counts
16 → 306
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))>
#<alt (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))>
#<alt (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))>
#<alt (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))>
#<alt (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))>
#<alt (exp.f64 (+.f64 #s(literal 1 binary64) eps))>
#<alt (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))>
#<alt (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))>
#<alt (exp.f64 x)>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))>
#<alt (/.f64 #s(literal 1 binary64) eps)>
#<alt (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))>
Outputs
#<alt (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))))) (+.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))>
#<alt (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) eps)))>
#<alt (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) eps)))>
#<alt (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) eps)))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))>
#<alt (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) eps))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))>
#<alt (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) eps))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))>
#<alt (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) eps))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))>
#<alt (-.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
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#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) eps))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) eps))))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) eps)))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (exp.f64 (+.f64 x (*.f64 eps x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (exp.f64 (+.f64 x (*.f64 eps x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (exp.f64 (+.f64 x (*.f64 eps x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (exp.f64 (+.f64 x (*.f64 eps x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x)))))))>
Calls

84 calls:

TimeVariablePointExpression
40.0ms
x
@-inf
(+ (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1))) (/ (+ 1 (/ -1 eps)) (exp (+ (* eps x) x))))
32.0ms
eps
@inf
(pow (exp (+ 1 eps)) (neg x))
18.0ms
x
@inf
(+ (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1))) (/ (+ 1 (/ -1 eps)) (exp (+ (* eps x) x))))
13.0ms
eps
@-inf
(pow (exp (+ 1 eps)) (neg x))
8.0ms
eps
@inf
(+ (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1)))) (* (pow (exp (+ 1 eps)) (neg x)) (+ 1 (/ -1 eps))))

rewrite284.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
323×add-exp-log
323×add-log-exp
322×log1p-expm1-u
322×expm1-log1p-u
318×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041707
1727653
Stop Event
node limit
Counts
16 → 355
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
(*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(exp.f64 (+.f64 #s(literal 1 binary64) eps))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(exp.f64 x)
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal 1 binary64) eps)
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
Outputs
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))
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(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x)))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x)))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x)))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

eval129.0ms (1%)

Compiler

Compiled 27950 to 2838 computations (89.8% saved)

prune144.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New7929801
Fresh000
Picked303
Done000
Total7959804
Accuracy
100.0%
Counts
804 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.9%
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
17.4%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) eps) #s(literal 2 binary64))
57.0%
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))
33.8%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
41.0%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
39.2%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
99.5%
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
42.3%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
42.4%
#s(literal 1 binary64)
Compiler

Compiled 420 to 242 computations (42.4% saved)

localize324.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
cost-diff6656
(+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))
cost-diff6912
(+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
cost-diff20224
(-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))
cost-diff20224
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff64
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
cost-diff128
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
cost-diff256
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
cost-diff0
(-.f64 #s(literal 1 binary64) eps)
cost-diff0
(/.f64 #s(literal 1 binary64) eps)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
cost-diff64
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
cost-diff-6208
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))
cost-diff0
(*.f64 eps x)
cost-diff0
(-.f64 eps #s(literal 1 binary64))
cost-diff0
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
accuracy100.0%
(*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
accuracy100.0%
(*.f64 #s(literal -1 binary64) x)
accuracy100.0%
(exp.f64 (*.f64 #s(literal -1 binary64) x))
accuracy100.0%
(*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))
accuracy100.0%
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps))
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
accuracy99.8%
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
accuracy67.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
accuracy100.0%
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
accuracy74.8%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))
accuracy100.0%
(+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))
accuracy100.0%
(+.f64 x (*.f64 eps x))
accuracy100.0%
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
Rules
493×sub-neg
459×div-sub
424×fma-define
399×times-frac
334×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0471493
11301460
23771321
313981261
457351261
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
x
(-.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))
(exp.f64 (+.f64 x (*.f64 eps x)))
(+.f64 x (*.f64 eps x))
(*.f64 eps x)
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(-.f64 #s(literal 1 binary64) eps)
(neg.f64 x)
x
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(-.f64 #s(literal 1 binary64) eps)
(neg.f64 x)
x
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
#s(literal -1 binary64)
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) eps)
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))
(+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(-.f64 eps #s(literal 1 binary64))
(+.f64 eps #s(literal -1 binary64))
eps
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(exp.f64 (+.f64 x (*.f64 eps x)))
(exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))
(exp.f64 (fma.f64 x eps x))
(+.f64 x (*.f64 eps x))
(*.f64 (+.f64 eps #s(literal 1 binary64)) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
#s(literal 2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) eps))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) eps)
(neg.f64 x)
x
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (+.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (*.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x))) (+.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (*.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) eps)
(neg.f64 x)
x
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x))))
(*.f64 (+.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps))
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps))
(-.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x)))
(fma.f64 (fma.f64 x eps x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (/.f64 #s(literal 1 binary64) eps))
(fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 x eps) x) (/.f64 #s(literal 1 binary64) eps))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 x (/.f64 x eps)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64))))
(*.f64 (neg.f64 (fma.f64 x eps x)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 x eps x))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 x eps) x))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 x (/.f64 x eps)))
#s(literal -1 binary64)
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (fma.f64 x eps x))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 x eps) x))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 x (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 x (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))
(+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(exp.f64 (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
#s(literal -1 binary64)
x
(*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(*.f64 x (exp.f64 (neg.f64 x)))
(/.f64 x (exp.f64 x))
(+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(neg.f64 (exp.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 x) (exp.f64 x))
(/.f64 x (neg.f64 (exp.f64 x)))
#s(literal 2 binary64)
Results
66.0ms142×0valid
47.0ms46×1valid
20.0ms45×0unsamplable
37.0ms23×2valid
Compiler

Compiled 465 to 42 computations (91% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 32.0ms (33.3% of total)
ival-sub: 15.0ms (15.6% of total)
ival-div: 14.0ms (14.6% of total)
ival-add: 13.0ms (13.5% of total)
ival-exp: 10.0ms (10.4% of total)
backward-pass: 9.0ms (9.4% of total)
ival-neg: 2.0ms (2.1% of total)
const: 1.0ms (1% of total)

series61.0ms (0.5%)

Counts
25 → 313
Calls
Call 1
Inputs
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (+.f64 x (*.f64 eps x))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))>
#<alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))>
#<alt (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))>
#<alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))>
#<alt (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 eps #s(literal 1 binary64))>
#<alt (*.f64 eps x)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))>
#<alt (/.f64 #s(literal 1 binary64) eps)>
#<alt (-.f64 #s(literal 1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))>
#<alt (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))>
#<alt (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 x (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) x)))>
#<alt (*.f64 x (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) x)))>
#<alt (*.f64 x (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) x)))>
#<alt (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) x)))))>
Calls

114 calls:

TimeVariablePointExpression
5.0ms
eps
@0
(+ (exp (* x (- eps 1))) (/ 1 (exp (+ x (* eps x)))))
2.0ms
eps
@inf
(- (* (+ 1 (/ 1 eps)) (exp (* (- 1 eps) (neg x)))) (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1))
2.0ms
x
@0
(+ (* -1 (exp (* -1 x))) (* -1 (* x (exp (* -1 x)))))
1.0ms
x
@inf
(- (* (+ 1 (/ 1 eps)) (exp (* (- 1 eps) (neg x)))) (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1))
1.0ms
eps
@0
(- (* (+ 1 (/ 1 eps)) (exp (* (- 1 eps) (neg x)))) (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1))

rewrite267.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
412×log1p-expm1-u
412×expm1-log1p-u
408×add-cube-cbrt
405×add-exp-log
405×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044856
1889843
Stop Event
node limit
Counts
25 → 528
Calls
Call 1
Inputs
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(+.f64 x (*.f64 eps x))
(+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps))
(*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(exp.f64 (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))
(-.f64 eps #s(literal 1 binary64))
(*.f64 eps x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/.f64 #s(literal 1 binary64) eps)
(-.f64 #s(literal 1 binary64) eps)
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))
(-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))
(+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))
(+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x eps x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x eps x))
(*.f64 (+.f64 eps #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x eps x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x eps x)))
(*.f64 (sqrt.f64 (fma.f64 x eps x)) (sqrt.f64 (fma.f64 x eps x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 x (*.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 x (*.f64 x eps)))
(pow.f64 (fma.f64 x eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x eps x)) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 x eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x eps x))))
(cbrt.f64 (pow.f64 (fma.f64 x eps x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x eps x)))
(log1p.f64 (expm1.f64 (fma.f64 x eps x)))
(exp.f64 (+.f64 (log1p.f64 eps) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 eps) (log.f64 x)) #s(literal 1 binary64)))
(fma.f64 x eps x)
(fma.f64 eps x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x eps))
(fma.f64 #s(literal 1 binary64) (*.f64 x eps) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x eps)) x)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 x eps))
(fma.f64 (sqrt.f64 (*.f64 x eps)) (sqrt.f64 (*.f64 x eps)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x eps))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64)) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (neg.f64 (fma.f64 x eps x)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))) (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(*.f64 (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x eps x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x eps x))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (exp.f64 (fma.f64 x eps x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(log1p.f64 (expm1.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(exp.f64 (*.f64 (fma.f64 x eps x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(+.f64 (-.f64 (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)) (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
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(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))))
(pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))))
(cbrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 x))))
(exp.f64 (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (*.f64 x (exp.f64 (neg.f64 x))) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) (sqrt.f64 (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x))))
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) (exp.f64 (+.f64 (neg.f64 x) (+.f64 (neg.f64 x) (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))
(exp.f64 (+.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 x)))
(exp.f64 (*.f64 (+.f64 (log.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 x (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))
(fma.f64 (exp.f64 (neg.f64 x)) x (exp.f64 (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 x (exp.f64 (neg.f64 x)))) (sqrt.f64 (*.f64 x (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))

eval190.0ms (1.5%)

Compiler

Compiled 38949 to 4366 computations (88.8% saved)

prune143.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1236121248
Fresh314
Picked415
Done000
Total1243141257
Accuracy
100.0%
Counts
1257 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.7%
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) eps) #s(literal 2 binary64))
30.8%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
22.7%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
33.8%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
23.2%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
91.6%
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
64.6%
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
66.5%
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
99.6%
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
35.3%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
73.6%
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)) #s(literal 2 binary64))
9.6%
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
41.4%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
42.4%
#s(literal 1 binary64)
Compiler

Compiled 493 to 329 computations (33.3% saved)

localize322.0ms (2.5%)

Algorithm
egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) eps)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
cost-diff0
(/.f64 #s(literal 1 binary64) eps)
cost-diff128
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
cost-diff-6336
(+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))
cost-diff-6336
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff0
(-.f64 eps #s(literal 1 binary64))
cost-diff0
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
cost-diff384
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
cost-diff384
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps))
cost-diff1024
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
cost-diff1024
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
cost-diff0
(*.f64 eps x)
cost-diff64
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
cost-diff128
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
cost-diff128
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
cost-diff6336
(exp.f64 (*.f64 x (expm1.f64 (log.f64 eps))))
cost-diff12672
(expm1.f64 (log.f64 eps))
cost-diff12672
(*.f64 x (expm1.f64 (log.f64 eps)))
accuracy100.0%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)
accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps))
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
accuracy99.9%
(*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x))
accuracy100.0%
(-.f64 eps #s(literal 1 binary64))
accuracy100.0%
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
accuracy100.0%
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
accuracy100.0%
(+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
accuracy100.0%
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps))
accuracy99.8%
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
accuracy74.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 eps x)
accuracy100.0%
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
accuracy100.0%
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
accuracy100.0%
(+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))
accuracy100.0%
(+.f64 x (*.f64 eps x))
accuracy100.0%
(*.f64 x (expm1.f64 (log.f64 eps)))
accuracy96.6%
(expm1.f64 (log.f64 eps))
Rules
907×div-sub
392×sub-neg
282×+-commutative
277×fma-define
241×exp-prod
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0481332
11191289
23201238
310851118
441071087
570921087
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))
(exp.f64 (*.f64 x (expm1.f64 (log.f64 eps))))
(*.f64 x (expm1.f64 (log.f64 eps)))
x
(expm1.f64 (log.f64 eps))
(log.f64 eps)
eps
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))
#s(literal 1 binary64)
(exp.f64 (+.f64 x (*.f64 eps x)))
(+.f64 x (*.f64 eps x))
(*.f64 eps x)
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
#s(literal -1 binary64)
(*.f64 eps x)
eps
x
#s(literal 2 binary64)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
#s(literal -1 binary64)
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
x
(*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) eps)
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
x
(-.f64 eps #s(literal 1 binary64))
eps
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)) #s(literal 2 binary64))
(*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x))
eps
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)
(+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps))
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
(/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)
(exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
#s(literal -1 binary64)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
x
(-.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (expm1.f64 (log.f64 eps))) (exp.f64 (neg.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))
(+.f64 (pow.f64 (exp.f64 x) (expm1.f64 (log.f64 eps))) (exp.f64 (neg.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 x (expm1.f64 (log.f64 eps))))
(pow.f64 (exp.f64 x) (expm1.f64 (log.f64 eps)))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 x (expm1.f64 (log.f64 eps)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(expm1.f64 (log.f64 eps))
(+.f64 eps #s(literal -1 binary64))
(log.f64 eps)
eps
(/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))
(exp.f64 (neg.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x)))
(exp.f64 (neg.f64 (fma.f64 x eps x)))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
#s(literal 1 binary64)
(exp.f64 (+.f64 x (*.f64 eps x)))
(exp.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) x))
(exp.f64 (fma.f64 x eps x))
(+.f64 x (*.f64 eps x))
(*.f64 (+.f64 eps #s(literal 1 binary64)) x)
(fma.f64 x eps x)
(*.f64 eps x)
(*.f64 x eps)
#s(literal 2 binary64)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x eps)) #s(literal 2 binary64))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(neg.f64 (*.f64 x eps))
(*.f64 eps (neg.f64 x))
(*.f64 x (neg.f64 eps))
#s(literal -1 binary64)
(*.f64 eps x)
(*.f64 x eps)
eps
x
#s(literal 2 binary64)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 x eps) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x eps) (/.f64 x eps)) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x eps x)))))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 x eps) x) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (-.f64 (*.f64 x eps) (/.f64 x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) eps)
eps
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x eps x))))
(*.f64 (+.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps))
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) eps))
(-.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x eps x)))
(fma.f64 (neg.f64 (fma.f64 x eps x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) eps))
(fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 x eps) x) (/.f64 #s(literal 1 binary64) eps))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) x)) (*.f64 x eps))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
(neg.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))
(*.f64 (fma.f64 x eps x) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (neg.f64 (fma.f64 x eps x)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 x eps) x))
(-.f64 (*.f64 x eps) (/.f64 x eps))
#s(literal -1 binary64)
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x eps x))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (/.f64 x eps) x))
(-.f64 (/.f64 x eps) (*.f64 x eps))
x
(*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) eps)
(+.f64 eps #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
#s(literal 2 binary64)
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(pow.f64 (exp.f64 x) (expm1.f64 (log.f64 eps)))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(*.f64 x (expm1.f64 (log.f64 eps)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(-.f64 eps #s(literal 1 binary64))
(expm1.f64 (log.f64 eps))
(+.f64 eps #s(literal -1 binary64))
eps
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps) x))) #s(literal 2 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps) x)) (/.f64 eps #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps) x))) #s(literal 2 binary64))
(/.f64 (fma.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) eps) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (*.f64 x eps)) #s(literal 2 binary64)))
(*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x))
(*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps) x)))
(*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps) x)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps) x)))
(fma.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) eps) x) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
eps
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)
(+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps) x))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps) x))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) x))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) eps))
(/.f64 #s(literal 1 binary64) eps)
#s(literal 1 binary64)
(/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)
(/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)
(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps)
(/.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) eps)
(exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(pow.f64 (exp.f64 x) (expm1.f64 (log.f64 eps)))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(*.f64 x (expm1.f64 (log.f64 eps)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
#s(literal -1 binary64)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
x
(-.f64 #s(literal 1 binary64) eps)
#s(literal 2 binary64)
Results
65.0ms144×0valid
50.0ms54×1valid
25.0ms45×0unsamplable
19.0ms13×2valid
Compiler

Compiled 383 to 43 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 25.0ms (27.6% of total)
ival-div: 20.0ms (22.1% of total)
ival-add: 12.0ms (13.2% of total)
ival-sub: 9.0ms (9.9% of total)
ival-exp: 8.0ms (8.8% of total)
backward-pass: 7.0ms (7.7% of total)
ival-log: 5.0ms (5.5% of total)
ival-expm1: 3.0ms (3.3% of total)
const: 1.0ms (1.1% of total)

series64.0ms (0.5%)

Counts
27 → 436
Calls
Call 1
Inputs
#<alt (expm1.f64 (log.f64 eps))>
#<alt (*.f64 x (expm1.f64 (log.f64 eps)))>
#<alt (+.f64 x (*.f64 eps x))>
#<alt (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))>
#<alt (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))>
#<alt (-.f64 eps #s(literal 1 binary64))>
#<alt (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) eps))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps))>
#<alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)>
#<alt (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps))))>
#<alt (/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))>
#<alt (/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))>
#<alt (/.f64 #s(literal 1 binary64) eps)>
#<alt (-.f64 #s(literal 1 binary64) eps)>
Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 eps #s(literal 1 binary64))>
#<alt (-.f64 eps #s(literal 1 binary64))>
#<alt (-.f64 eps #s(literal 1 binary64))>
#<alt eps>
#<alt (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) eps))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps (+.f64 x (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 x (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 x (/.f64 x eps)))>
#<alt (*.f64 eps x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) #s(literal 2 binary64))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 eps x) (*.f64 #s(literal -1 binary64) x)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 eps (-.f64 (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (/.f64 x (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x)))))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (/.f64 x (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 x)))))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (/.f64 x (exp.f64 x)))) (/.f64 #s(literal 1 binary64) (exp.f64 x))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (/.f64 x eps)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) eps) (*.f64 #s(literal -1 binary64) x)) eps)>
#<alt (/.f64 (-.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))) (*.f64 #s(literal -1 binary64) x)) eps)>
#<alt (/.f64 (-.f64 (*.f64 eps (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))) (*.f64 #s(literal -1 binary64) x)) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) x))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (pow.f64 eps #s(literal 2 binary64)))) x))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (pow.f64 eps #s(literal 2 binary64)))) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x eps)) eps)) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x eps)) eps)) (*.f64 #s(literal -1 binary64) x))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))>
#<alt (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))>
#<alt (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
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#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))>
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#<alt #s(literal 1 binary64)>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 x eps))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) eps)>
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#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) eps)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps x)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x (pow.f64 eps #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 1 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 1 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))))))>
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#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))))>
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#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))))>
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#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))))>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))>
Calls

147 calls:

TimeVariablePointExpression
5.0ms
x
@0
(- (+ 1 (/ 1 eps)) (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1))
3.0ms
eps
@0
(- (+ (/ 1 eps) (/ (exp (* -1 (* x (- 1 eps)))) eps)) x)
1.0ms
eps
@-inf
(* eps (- (+ (/ 1 eps) (/ (exp (* -1 (* x (- 1 eps)))) eps)) x))
1.0ms
eps
@0
(/ (+ (exp (* x (- (exp (log eps)) 1))) (/ 1 (exp (+ x (* eps x))))) 2)
1.0ms
x
@inf
(* eps (- (+ (/ 1 eps) (/ (exp (* -1 (* x (- 1 eps)))) eps)) x))

rewrite243.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
420×log1p-expm1-u
419×expm1-log1p-u
413×add-exp-log
412×add-log-exp
412×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047944
1955941
Stop Event
node limit
Counts
27 → 518
Calls
Call 1
Inputs
(expm1.f64 (log.f64 eps))
(*.f64 x (expm1.f64 (log.f64 eps)))
(+.f64 x (*.f64 eps x))
(+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 eps x))
(*.f64 eps x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))
(+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 x (-.f64 eps #s(literal 1 binary64)))
(exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))
(-.f64 eps #s(literal 1 binary64))
(*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x))
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)
(exp.f64 (*.f64 x (expm1.f64 (log.f64 eps))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(/.f64 #s(literal 1 binary64) eps)
(-.f64 #s(literal 1 binary64) eps)
Outputs
(+.f64 eps #s(literal -1 binary64))
(-.f64 eps #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 eps #s(literal -1 binary64))) (sqrt.f64 (+.f64 eps #s(literal -1 binary64))))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 eps) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 eps) #s(literal -1 binary64)))
(pow.f64 eps #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 eps)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) eps))))
(cbrt.f64 (pow.f64 eps #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) eps)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) eps)))
(exp.f64 (neg.f64 (log.f64 eps)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 eps)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 eps))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) eps)) (sqrt.f64 (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (+.f64 eps #s(literal 1 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) eps))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) eps)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) eps)))
(exp.f64 (log1p.f64 (neg.f64 eps)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 eps)) #s(literal 1 binary64)))

eval145.0ms (1.1%)

Compiler

Compiled 22280 to 3412 computations (84.7% saved)

prune117.0ms (0.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1012141026
Fresh358
Picked505
Done011
Total1020201040
Accuracy
100.0%
Counts
1040 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.8%
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
30.8%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
21.7%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
23.2%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
37.8%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
91.6%
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
91.6%
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
66.7%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
53.4%
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
27.0%
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
50.3%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
35.3%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
59.3%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
42.3%
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
48.3%
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
73.8%
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 eps x)) eps)) x)) #s(literal 2 binary64))
50.2%
(/.f64 (*.f64 eps (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 eps x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
41.4%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
9.6%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
42.4%
#s(literal 1 binary64)
Compiler

Compiled 567 to 385 computations (32.1% saved)

localize246.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 36 expressions of interest:

NewMetricScoreProgram
cost-diff64
(*.f64 x #s(literal -1 binary64))
cost-diff64
(exp.f64 (*.f64 x #s(literal -1 binary64)))
cost-diff64
(+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
cost-diff64
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff-6272
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
cost-diff0
(*.f64 eps x)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff-6144
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) eps)
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) eps) x)
cost-diff128
(*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x))
cost-diff0
(*.f64 eps x)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
cost-diff64
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
cost-diff6336
(exp.f64 (*.f64 x (expm1.f64 (log.f64 eps))))
cost-diff12672
(expm1.f64 (log.f64 eps))
cost-diff12672
(*.f64 x (expm1.f64 (log.f64 eps)))
accuracy100.0%
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy100.0%
(*.f64 x #s(literal -1 binary64))
accuracy100.0%
(exp.f64 (*.f64 x #s(literal -1 binary64)))
accuracy100.0%
(+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
accuracy99.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
accuracy95.2%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
accuracy100.0%
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
accuracy100.0%
(/.f64 #s(literal 2 binary64) eps)
accuracy100.0%
(-.f64 (/.f64 #s(literal 2 binary64) eps) x)
accuracy99.9%
(*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x))
accuracy100.0%
(*.f64 eps x)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
accuracy100.0%
(*.f64 x (expm1.f64 (log.f64 eps)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))
accuracy100.0%
(+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))
accuracy96.6%
(expm1.f64 (log.f64 eps))
Rules
878×fma-neg
539×unsub-neg
492×fma-define
373×div-sub
353×distribute-lft-in
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
036673
175643
2140643
3298631
4489596
5846596
61372590
72600590
84819590
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))
(exp.f64 (*.f64 x (expm1.f64 (log.f64 eps))))
(*.f64 x (expm1.f64 (log.f64 eps)))
x
(expm1.f64 (log.f64 eps))
(log.f64 eps)
eps
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))
#s(literal 1 binary64)
(exp.f64 (*.f64 eps x))
(*.f64 eps x)
#s(literal 2 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
#s(literal -1/2 binary64)
(*.f64 eps x)
eps
x
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x))
eps
(-.f64 (/.f64 #s(literal 2 binary64) eps) x)
(/.f64 #s(literal 2 binary64) eps)
#s(literal 2 binary64)
x
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
eps
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
#s(literal -1/2 binary64)
(*.f64 eps x)
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(*.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (expm1.f64 (log.f64 eps))) (exp.f64 (neg.f64 (*.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (neg.f64 eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (pow.f64 (exp.f64 x) (neg.f64 eps))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) x) (pow.f64 (exp.f64 (neg.f64 x)) eps)) #s(literal 2 binary64))
(+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))
(+.f64 (pow.f64 (exp.f64 x) (expm1.f64 (log.f64 eps))) (exp.f64 (neg.f64 (*.f64 x eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 x (neg.f64 eps))))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) eps))
(+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (pow.f64 (exp.f64 x) (neg.f64 eps)))
(+.f64 (pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) x) (pow.f64 (exp.f64 (neg.f64 x)) eps))
(exp.f64 (*.f64 x (expm1.f64 (log.f64 eps))))
(pow.f64 (exp.f64 x) (expm1.f64 (log.f64 eps)))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) x)
(*.f64 x (expm1.f64 (log.f64 eps)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(expm1.f64 (log.f64 eps))
(+.f64 eps #s(literal -1 binary64))
(log.f64 eps)
eps
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))
(exp.f64 (neg.f64 (*.f64 x eps)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(pow.f64 (exp.f64 (neg.f64 x)) eps)
(pow.f64 (exp.f64 x) (neg.f64 eps))
#s(literal 1 binary64)
(exp.f64 (*.f64 eps x))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 x) eps)
(*.f64 eps x)
(*.f64 x eps)
#s(literal 2 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 eps x)
(*.f64 x eps)
eps
x
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(*.f64 eps (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) x) (/.f64 eps #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) x) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x))
(fma.f64 x (neg.f64 eps) #s(literal 2 binary64))
(fma.f64 eps (neg.f64 x) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 x eps))
eps
(-.f64 (/.f64 #s(literal 2 binary64) eps) x)
(/.f64 #s(literal 2 binary64) eps)
#s(literal 2 binary64)
x
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) #s(literal -1/2 binary64))))) eps)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 eps (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))) eps)
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) eps)
(/.f64 (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps) eps)
(/.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)) eps) eps)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) #s(literal -1/2 binary64)))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 eps (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 x (fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps)
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)) eps)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) #s(literal -1/2 binary64))))
(*.f64 eps (fma.f64 (*.f64 x eps) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)))
eps
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(*.f64 eps (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) x) #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) x) (/.f64 eps #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) eps) x) (*.f64 eps #s(literal 1/2 binary64)))
(fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 (*.f64 x eps) #s(literal -1/2 binary64))
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 eps x)
(*.f64 x eps)
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(exp.f64 (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
Results
82.0ms211×0valid
13.0ms45×0unsamplable
Compiler

Compiled 187 to 31 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-exp: 18.0ms (31.9% of total)
ival-mult: 13.0ms (23.1% of total)
ival-div: 10.0ms (17.7% of total)
ival-add: 5.0ms (8.9% of total)
ival-log: 5.0ms (8.9% of total)
ival-expm1: 3.0ms (5.3% of total)
ival-sub: 1.0ms (1.8% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.3%)

Counts
19 → 279
Calls
Call 1
Inputs
#<alt (expm1.f64 (log.f64 eps))>
#<alt (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))>
#<alt (*.f64 x (expm1.f64 (log.f64 eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x))>
#<alt (-.f64 (/.f64 #s(literal 2 binary64) eps) x)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))>
#<alt (exp.f64 (*.f64 x #s(literal -1 binary64)))>
#<alt (*.f64 x #s(literal -1 binary64))>
#<alt (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))>
#<alt (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps))))>
#<alt (/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))>
Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 eps #s(literal 1 binary64))>
#<alt (-.f64 eps #s(literal 1 binary64))>
#<alt (-.f64 eps #s(literal 1 binary64))>
#<alt eps>
#<alt (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) #s(literal 1 binary64))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (-.f64 (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) x))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (-.f64 (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) x))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (-.f64 (+.f64 (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) x))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) eps)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))) eps)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 eps #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps x))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x eps))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 eps (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 eps (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 eps (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x))) eps)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x))) eps)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 eps x))) eps)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) x)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) x)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) x)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) x)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) x)>
#<alt (/.f64 #s(literal 2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps x))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
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#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))))>
Calls

93 calls:

TimeVariablePointExpression
3.0ms
eps
@-inf
(* eps (- (/ 2 eps) x))
2.0ms
eps
@inf
(/ (+ (exp (* x (- (exp (log eps)) 1))) (/ 1 (exp (* eps x)))) 2)
1.0ms
eps
@0
(+ (exp (* x (- (exp (log eps)) 1))) (/ 1 (exp (* eps x))))
1.0ms
x
@0
(/ (+ (* 1/2 x) (* eps (+ 1 (* -1/2 (* eps x))))) eps)
1.0ms
x
@0
(+ (exp (* x (- (exp (log eps)) 1))) (/ 1 (exp (* eps x))))

rewrite149.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
273×log1p-expm1-u
272×expm1-log1p-u
268×add-exp-log
267×add-log-exp
265×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036468
1596424
Stop Event
node limit
Counts
19 → 459
Calls
Call 1
Inputs
(expm1.f64 (log.f64 eps))
(+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))
(*.f64 x (expm1.f64 (log.f64 eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 eps x)
(*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x))
(-.f64 (/.f64 #s(literal 2 binary64) eps) x)
(/.f64 #s(literal 2 binary64) eps)
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(exp.f64 (*.f64 x #s(literal -1 binary64)))
(*.f64 x #s(literal -1 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 x (expm1.f64 (log.f64 eps))))
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
Outputs
(+.f64 eps #s(literal -1 binary64))
(-.f64 eps #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (+.f64 eps #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 eps #s(literal -1 binary64))) (sqrt.f64 (+.f64 eps #s(literal -1 binary64))))
(*.f64 (+.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (-.f64 (sqrt.f64 eps) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 eps #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))))
(*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 x) eps) (-.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 x) eps) (-.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 x) eps) (-.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 x) eps) (-.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))))
(pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) (pow.f64 (exp.f64 x) eps))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) (pow.f64 (exp.f64 x) eps))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 x) eps))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) eps)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) (sqrt.f64 (pow.f64 (exp.f64 x) eps)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 1 binary64))
(pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 eps) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) eps)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 eps) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 eps) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 eps x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 eps x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 eps x))) (sqrt.f64 (*.f64 eps x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) eps)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (exp.f64 x) eps))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) eps)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) eps)))
(exp.f64 (*.f64 eps x))
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(exp.f64 (*.f64 (*.f64 eps x) #s(literal -1 binary64)))
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(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 x)
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(*.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) (log.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (pow.f64 (exp.f64 x) eps) (exp.f64 x))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(pow.f64 (exp.f64 x) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) x)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 eps #s(literal -1 binary64))))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 eps #s(literal -1 binary64)))) (sqrt.f64 (+.f64 eps #s(literal -1 binary64))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) x)))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) x))) (sqrt.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) x)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 x) eps)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

eval97.0ms (0.7%)

Compiler

Compiled 12295 to 2170 computations (82.4% saved)

prune117.0ms (0.9%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New78211793
Fresh6814
Picked235
Done011
Total79023813
Accuracy
100.0%
Counts
813 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.8%
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
30.8%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
23.2%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
37.8%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
40.1%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
91.6%
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
84.6%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
66.7%
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
53.4%
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
59.6%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
42.3%
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
73.8%
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 eps x)) eps)) x)) #s(literal 2 binary64))
50.6%
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
50.2%
(/.f64 (*.f64 eps (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 eps x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
49.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
57.4%
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
41.4%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
48.4%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
59.6%
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
48.3%
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
9.6%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
11.9%
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
42.4%
#s(literal 1 binary64)
Compiler

Compiled 1068 to 434 computations (59.4% saved)

regimes62.0ms (0.5%)

Counts
50 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 eps x)) eps)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 eps x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) eps) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (+.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 eps x x))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (fma.f64 eps x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
Calls

4 calls:

17.0ms
eps
14.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
13.0ms
x
11.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1eps
99.6%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.6%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes184.0ms (1.4%)

Counts
45 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 eps x)) eps)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 eps x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) eps) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (expm1.f64 (log.f64 eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
Calls

4 calls:

144.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
13.0ms
x
13.0ms
eps
10.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
99.5%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.5%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes28.0ms (0.2%)

Counts
41 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 eps x)) eps)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 eps x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) eps) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
Calls

2 calls:

12.0ms
x
11.0ms
eps
Results
AccuracySegmentsBranch
91.6%1x
91.6%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts
40 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 eps x)) eps)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 eps x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) eps) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) eps) #s(literal 2 binary64))
Calls

2 calls:

13.0ms
eps
11.0ms
x
Results
AccuracySegmentsBranch
90.4%4x
84.6%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
39 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 eps x)) eps)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 eps x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
88.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes123.0ms (0.9%)

Counts
38 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 eps x)) eps)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 eps x))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 eps x)) eps)) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

2 calls:

108.0ms
x
12.0ms
eps
Results
AccuracySegmentsBranch
73.8%1eps
87.7%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
31 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x (*.f64 eps x))))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
87.6%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
28 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
87.5%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
27 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) #s(literal 2 binary64))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
81.5%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.1%)

Counts
26 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
Calls

2 calls:

9.0ms
eps
7.0ms
x
Results
AccuracySegmentsBranch
64.2%3eps
74.5%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
24 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
Outputs
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
73.5%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
23 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
Outputs
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1/2 binary64))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
73.4%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
22 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
69.7%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
19 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))))) eps)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
#s(literal 1 binary64)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
69.7%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
16 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
67.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) x))) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
Calls

2 calls:

6.0ms
x
5.0ms
eps
Results
AccuracySegmentsBranch
57.4%1eps
62.2%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (-.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 2 binary64) eps) x)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
61.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) x) #s(literal 1/2 binary64))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
61.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps x)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (/.f64 #s(literal 2 binary64) eps)) #s(literal 2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
Calls

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
52.3%2eps
58.1%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
Outputs
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 eps x)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
58.4%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(/.f64 (/.f64 x eps) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
45.9%2eps
49.4%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

2 calls:

1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
42.4%1eps
42.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch153.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
103.0ms
4.041235929697458e+273
8.43932101648355e+275
24.0ms
6.42217916767167e+79
9.37350089300326e+86
19.0ms
560662590394891800.0
15985788123230986000.0
Results
47.0ms368×0valid
Compiler

Compiled 724 to 518 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 10.0ms (28.1% of total)
ival-div: 6.0ms (16.9% of total)
ival-sub: 5.0ms (14.1% of total)
ival-add: 5.0ms (14.1% of total)
ival-exp: 5.0ms (14.1% of total)
ival-neg: 4.0ms (11.3% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

bsearch52.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
6.42217916767167e+79
9.37350089300326e+86
19.0ms
560662590394891800.0
15985788123230986000.0
Results
36.0ms256×0valid
Compiler

Compiled 521 to 357 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 10.0ms (38% of total)
ival-sub: 4.0ms (15.2% of total)
ival-div: 4.0ms (15.2% of total)
ival-add: 3.0ms (11.4% of total)
ival-exp: 3.0ms (11.4% of total)
ival-neg: 3.0ms (11.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch99.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
6.42217916767167e+79
9.37350089300326e+86
21.0ms
560662590394891800.0
15985788123230986000.0
41.0ms
-8.610625365951351e-289
-4.214486151233612e-292
Results
44.0ms324×0valid
9.0ms34×1valid
19.0ms26×2valid
Compiler

Compiled 798 to 548 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 17.0ms (29.9% of total)
ival-sub: 10.0ms (17.6% of total)
ival-div: 7.0ms (12.3% of total)
ival-exp: 7.0ms (12.3% of total)
backward-pass: 5.0ms (8.8% of total)
ival-neg: 5.0ms (8.8% of total)
ival-add: 5.0ms (8.8% of total)
const: 1.0ms (1.8% of total)

bsearch139.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
predicate-same
Steps
TimeLeftRight
28.0ms
6.42217916767167e+79
9.37350089300326e+86
25.0ms
560662590394891800.0
15985788123230986000.0
25.0ms
-7.618294752923392e-281
-1.98856748157623e-281
Results
49.0ms306×0valid
5.0ms18×1valid
11.0ms12×2valid
Compiler

Compiled 606 to 431 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 27.0ms (52% of total)
ival-div: 6.0ms (11.5% of total)
ival-sub: 6.0ms (11.5% of total)
ival-exp: 5.0ms (9.6% of total)
ival-neg: 4.0ms (7.7% of total)
ival-add: 4.0ms (7.7% of total)
const: 1.0ms (1.9% of total)
backward-pass: 1.0ms (1.9% of total)

bsearch73.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
6.42217916767167e+79
9.37350089300326e+86
18.0ms
560662590394891800.0
15985788123230986000.0
24.0ms
-7.618294752923392e-281
-1.98856748157623e-281
Results
39.0ms303×0valid
8.0ms19×2valid
4.0ms14×1valid
Compiler

Compiled 588 to 422 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 10.0ms (25.5% of total)
ival-div: 6.0ms (15.3% of total)
ival-exp: 6.0ms (15.3% of total)
ival-sub: 6.0ms (15.3% of total)
ival-neg: 5.0ms (12.8% of total)
ival-add: 5.0ms (12.8% of total)
backward-pass: 1.0ms (2.6% of total)
const: 1.0ms (2.6% of total)

bsearch165.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
6.42217916767167e+79
9.37350089300326e+86
18.0ms
560662590394891800.0
15985788123230986000.0
113.0ms
-234339091815635.3
-9.131307568877464e-7
Results
47.0ms363×0valid
12.0ms40×1valid
18.0ms29×2valid
Compiler

Compiled 699 to 525 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 15.0ms (24.9% of total)
ival-exp: 11.0ms (18.3% of total)
ival-div: 10.0ms (16.6% of total)
ival-sub: 10.0ms (16.6% of total)
ival-add: 6.0ms (10% of total)
ival-neg: 5.0ms (8.3% of total)
backward-pass: 2.0ms (3.3% of total)
const: 1.0ms (1.7% of total)

bsearch146.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
6.42217916767167e+79
9.37350089300326e+86
113.0ms
1.1344849051187425e-7
0.018510999735101355
Results
28.0ms220×0valid
19.0ms36×1valid
79.0ms32×2valid
Compiler

Compiled 495 to 356 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-exp: 68.0ms (59.7% of total)
ival-div: 15.0ms (13.2% of total)
ival-mult: 14.0ms (12.3% of total)
ival-sub: 6.0ms (5.3% of total)
ival-neg: 4.0ms (3.5% of total)
ival-add: 4.0ms (3.5% of total)
backward-pass: 2.0ms (1.8% of total)
const: 1.0ms (0.9% of total)

bsearch150.0ms (1.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
6.42217916767167e+79
9.37350089300326e+86
45.0ms
1.1344849051187425e-7
0.018510999735101355
67.0ms
-2.3344264745520265e-36
-1.1930948779128458e-39
Results
41.0ms301×0valid
52.0ms67×1valid
25.0ms48×2valid
Compiler

Compiled 719 to 532 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-div: 42.0ms (41.9% of total)
ival-mult: 20.0ms (20% of total)
ival-exp: 12.0ms (12% of total)
ival-sub: 9.0ms (9% of total)
ival-neg: 6.0ms (6% of total)
ival-add: 6.0ms (6% of total)
backward-pass: 4.0ms (4% of total)
const: 1.0ms (1% of total)

bsearch214.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
6.42217916767167e+79
9.37350089300326e+86
139.0ms
1.1344849051187425e-7
0.018510999735101355
38.0ms
-2.3344264745520265e-36
-1.1930948779128458e-39
Results
38.0ms294×0valid
21.0ms65×1valid
30.0ms57×2valid
Compiler

Compiled 957 to 617 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 18.0ms (25.8% of total)
ival-exp: 14.0ms (20.1% of total)
ival-div: 9.0ms (12.9% of total)
ival-sub: 9.0ms (12.9% of total)
ival-add: 8.0ms (11.5% of total)
ival-neg: 6.0ms (8.6% of total)
backward-pass: 4.0ms (5.7% of total)
const: 1.0ms (1.4% of total)

bsearch115.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
2.218834175192002e+182
3.147677509759647e+183
42.0ms
1.1344849051187425e-7
0.018510999735101355
43.0ms
-2.3344264745520265e-36
-1.1930948779128458e-39
Results
37.0ms258×0valid
20.0ms64×1valid
33.0ms46×2valid
Compiler

Compiled 900 to 575 computations (36.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-exp: 21.0ms (30.3% of total)
ival-mult: 14.0ms (20.2% of total)
ival-div: 10.0ms (14.4% of total)
ival-sub: 8.0ms (11.5% of total)
ival-add: 7.0ms (10.1% of total)
ival-neg: 5.0ms (7.2% of total)
backward-pass: 4.0ms (5.8% of total)
const: 1.0ms (1.4% of total)

bsearch513.0ms (3.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
2.218834175192002e+182
3.147677509759647e+183
41.0ms
1.1344849051187425e-7
0.018510999735101355
446.0ms
-2.3344264745520265e-36
-1.1930948779128458e-39
Results
37.0ms258×0valid
422.0ms59×1valid
27.0ms51×2valid
Compiler

Compiled 560 to 405 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 469.0ms
ival-sub: 409.0ms (87.2% of total)
ival-mult: 14.0ms (3% of total)
ival-div: 13.0ms (2.8% of total)
ival-exp: 12.0ms (2.6% of total)
ival-add: 11.0ms (2.3% of total)
ival-neg: 5.0ms (1.1% of total)
backward-pass: 4.0ms (0.9% of total)
const: 1.0ms (0.2% of total)

bsearch72.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
2.218834175192002e+182
3.147677509759647e+183
45.0ms
1.1344849051187425e-7
0.018510999735101355
Results
28.0ms177×0valid
10.0ms32×1valid
17.0ms31×2valid
Compiler

Compiled 492 to 350 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 10.0ms (22.3% of total)
ival-exp: 9.0ms (20.1% of total)
ival-sub: 9.0ms (20.1% of total)
ival-div: 6.0ms (13.4% of total)
ival-add: 5.0ms (11.2% of total)
ival-neg: 3.0ms (6.7% of total)
backward-pass: 2.0ms (4.5% of total)
const: 1.0ms (2.2% of total)

bsearch92.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
50.0ms
1.876526578208805e+160
6.026518903348765e+160
36.0ms
2.7410338485232223e-53
3.658591969446672e-49
Results
57.0ms151×0valid
14.0ms42×1valid
8.0ms15×2valid
Compiler

Compiled 380 to 281 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-neg: 42.0ms (59.7% of total)
ival-mult: 8.0ms (11.4% of total)
ival-exp: 6.0ms (8.5% of total)
ival-div: 4.0ms (5.7% of total)
ival-sub: 4.0ms (5.7% of total)
ival-add: 3.0ms (4.3% of total)
backward-pass: 2.0ms (2.8% of total)
const: 0.0ms (0% of total)

bsearch58.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.876526578208805e+160
6.026518903348765e+160
35.0ms
-8.610625365951351e-289
-4.214486151233612e-292
Results
20.0ms150×0valid
10.0ms37×1valid
11.0ms21×2valid
Compiler

Compiled 332 to 241 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 8.0ms (25.7% of total)
ival-sub: 6.0ms (19.3% of total)
ival-div: 4.0ms (12.9% of total)
ival-exp: 4.0ms (12.9% of total)
ival-neg: 3.0ms (9.6% of total)
ival-add: 3.0ms (9.6% of total)
backward-pass: 2.0ms (6.4% of total)
const: 0.0ms (0% of total)

bsearch101.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.876526578208805e+160
6.026518903348765e+160
81.0ms
1.1344849051187425e-7
0.018510999735101355
Results
23.0ms171×0valid
11.0ms33×1valid
53.0ms20×2valid
Compiler

Compiled 312 to 243 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 51.0ms (66% of total)
ival-exp: 7.0ms (9.1% of total)
ival-div: 6.0ms (7.8% of total)
ival-sub: 4.0ms (5.2% of total)
ival-neg: 3.0ms (3.9% of total)
ival-add: 3.0ms (3.9% of total)
backward-pass: 2.0ms (2.6% of total)
const: 1.0ms (1.3% of total)

bsearch185.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
180.0ms
1.1344849051187425e-7
0.018510999735101355
Results
10.0ms79×0valid
148.0ms37×1valid
15.0ms28×2valid
Compiler

Compiled 207 to 158 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-add: 139.0ms (84.1% of total)
ival-exp: 7.0ms (4.2% of total)
ival-mult: 6.0ms (3.6% of total)
ival-div: 4.0ms (2.4% of total)
ival-sub: 4.0ms (2.4% of total)
backward-pass: 2.0ms (1.2% of total)
ival-neg: 2.0ms (1.2% of total)
const: 0.0ms (0% of total)

bsearch120.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
47.0ms
1.1344849051187425e-7
0.018510999735101355
59.0ms
-234339091815635.3
-9.131307568877464e-7
Results
26.0ms171×0valid
29.0ms81×1valid
40.0ms68×2valid
Compiler

Compiled 285 to 232 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-exp: 20.0ms (25.7% of total)
ival-mult: 16.0ms (20.5% of total)
ival-div: 9.0ms (11.5% of total)
ival-add: 9.0ms (11.5% of total)
ival-sub: 8.0ms (10.3% of total)
backward-pass: 8.0ms (10.3% of total)
ival-neg: 7.0ms (9% of total)
const: 1.0ms (1.3% of total)

bsearch63.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
54.0ms
-234339091815635.3
-9.131307568877464e-7
Results
15.0ms101×0valid
13.0ms42×1valid
19.0ms33×2valid
Compiler

Compiled 168 to 133 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-exp: 8.0ms (20.6% of total)
ival-mult: 8.0ms (20.6% of total)
ival-div: 6.0ms (15.5% of total)
ival-add: 6.0ms (15.5% of total)
ival-sub: 5.0ms (12.9% of total)
ival-neg: 3.0ms (7.7% of total)
backward-pass: 2.0ms (5.2% of total)
const: 0.0ms (0% of total)

soundness492.0ms (3.8%)

Rules
788×div-sub
516×fma-define
441×distribute-lft-neg-in
412×log1p-expm1-u
412×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036468
1596424
044856
1889843
069777
1211693
2630658
32123658
45703658
Stop Event
fuel
node limit
node limit
node limit
Compiler

Compiled 1365 to 409 computations (70% saved)

preprocess176.0ms (1.4%)

Compiler

Compiled 1886 to 532 computations (71.8% saved)

end0.0ms (0%)

Profiling

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