Logistic regression 2

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze105.0ms (1.8%)

Memory
35.0MiB live, 129.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
75%74.9%25%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
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
75%74.9%25%0.1%0%0%0%10
75%74.9%25%0.1%0%0%0%11
75%74.9%25%0.1%0%0%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.3s (21.3%)

Memory
21.3MiB live, 1 292.8MiB allocated
Samples
601.0ms8 256×0valid
237.0ms2 592×1exit
Precisions
Click to see histograms. Total time spent on operations: 456.0ms
ival-log1p: 156.0ms (34.2% of total)
ival-mult: 113.0ms (24.8% of total)
ival-exp: 86.0ms (18.8% of total)
ival-sub: 48.0ms (10.5% of total)
adjust: 42.0ms (9.2% of total)
ival-true: 8.0ms (1.8% of total)
ival-assert: 4.0ms (0.9% of total)
Bogosity

explain106.0ms (1.8%)

Memory
7.9MiB live, 153.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
394(-7.116815908956619e+53 -4.730104024135081e-129)0-(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
00-0-(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
00-0-(+.f64 #s(literal 1 binary64) (exp.f64 x))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(exp.f64 x)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))sensitivity940
log.f64(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))oflow-rescue30
↳(exp.f64 x)overflow3
↳(+.f64 #s(literal 1 binary64) (exp.f64 x))overflow3
Confusion
Predicted +Predicted -
+30
-94159
Precision
0.030927835051546393
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-940159
Precision?
0.030927835051546393
Recall?
1.0
Freqs
test
numberfreq
0159
197
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-log1p: 5.0ms (26.8% of total)
ival-exp: 4.0ms (21.4% of total)
ival-mult: 4.0ms (21.4% of total)
ival-sub: 2.0ms (10.7% of total)
ival-add: 2.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess198.0ms (3.3%)

Memory
4.7MiB live, 269.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251
15249
211849
324949
491249
5759949
089
0139
1239
2439
3829
42219
515489
656329
779279
084177
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify244.0ms (4.1%)

Memory
1.2MiB live, 211.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 x)
cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 x))
cost-diff0
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
cost-diff2
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01326
12326
24326
38226
422126
5154826
6563226
7792726
0841722
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
y
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 x)
x
(*.f64 x y)
(*.f64 y x)
y

localize25.0ms (0.4%)

Memory
-0.8MiB live, 44.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(exp.f64 x)
accuracy0.0078125
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
accuracy0.0078125
(+.f64 #s(literal 1 binary64) (exp.f64 x))
accuracy0.73019283554583
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
Samples
19.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (41% of total)
ival-log1p: 3.0ms (24.6% of total)
ival-exp: 2.0ms (16.4% of total)
ival-sub: 1.0ms (8.2% of total)
ival-add: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series76.0ms (1.3%)

Memory
-2.4MiB live, 93.5MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)
Outputs
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log (+ 1 (exp x)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(exp x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
Calls

6 calls:

TimeVariablePointExpression
50.0ms
x
@inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
19.0ms
x
@-inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
3.0ms
y
@0
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms
y
@-inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))
1.0ms
y
@inf
((log (+ 1 (exp x))) (- (log (+ 1 (exp x))) (* x y)) (+ 1 (exp x)) (exp x))

simplify143.0ms (2.4%)

Memory
-2.9MiB live, 135.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067194
1212194
2648194
32113194
44357184
57784184
08104150
Stop Event
1×iter limit
1×node limit
Counts
24 → 24
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(log (+ 1 (exp x)))
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(+ 1 (exp x))
(exp x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/192 binary64) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))

rewrite154.0ms (2.6%)

Memory
-13.9MiB live, 218.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01320
14920
233520
3339120
0837516
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 261
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(+.f64 #s(literal 1 binary64) (exp.f64 x))
(exp.f64 x)
Outputs
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (neg.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 1 binary64))
(log1p.f64 (neg.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x)))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64))) (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (log1p.f64 (*.f64 (expm1.f64 x) (exp.f64 x)))))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (neg.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (exp.f64 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (log.f64 (-.f64 (+.f64 (cosh.f64 x) #s(literal 1 binary64)) (sinh.f64 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (fma.f64 (expm1.f64 x) (exp.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (log.f64 (-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64)))))
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eval34.0ms (0.6%)

Memory
38.0MiB live, 84.4MiB allocated
Compiler

Compiled 6 790 to 1 195 computations (82.4% saved)

prune8.0ms (0.1%)

Memory
-19.7MiB live, 26.6MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2765281
Fresh000
Picked101
Done000
Total2775282
Accuracy
99.4%
Counts
282 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.5%
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
▶86.5%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶72.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
▶79.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
▶54.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Compiler

Compiled 154 to 122 computations (20.8% saved)

simplify147.0ms (2.5%)

Memory
-17.4MiB live, 133.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (log1p.f64 (exp.f64 x)))
cost-diff0
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
cost-diff0
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
cost-diff8
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
cost-diff0
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
cost-diff0
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032175
052161
185159
2165159
3428159
42220159
56068159
08048159
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
#s(literal 1/8 binary64)
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(*.f64 x y)
y
Outputs
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
#s(literal 1/8 binary64)
x
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(exp.f64 x)
x
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(*.f64 x y)
(*.f64 y x)
y

localize68.0ms (1.1%)

Memory
33.2MiB live, 79.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.028007519536884032
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
accuracy0.03582001953688403
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
accuracy0.615566259768442
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
accuracy0.73409908554583
(log1p.f64 (exp.f64 x))
accuracy0.0
(-.f64 #s(literal 1/2 binary64) y)
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.0078125
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
accuracy0.4314646282802743
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
accuracy0.0
(-.f64 #s(literal 1/2 binary64) y)
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.0078125
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
accuracy0.5519722581435806
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
accuracy0.0
(*.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy28.981214866602425
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
accuracy0.0
(*.f64 x y)
accuracy0.0078125
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
accuracy0.73019283554583
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
accuracy1.413504724288167
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
Samples
33.0ms162×0valid
17.0ms93×0exit
0.0ms1×1exit
Compiler

Compiled 173 to 28 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 8.0ms (22.7% of total)
ival-add: 5.0ms (14.2% of total)
ival-log: 5.0ms (14.2% of total)
ival-log1p: 5.0ms (14.2% of total)
ival-cosh: 4.0ms (11.4% of total)
ival-sub: 3.0ms (8.5% of total)
ival-exp: 2.0ms (5.7% of total)
ival-sinh: 2.0ms (5.7% of total)
ival-neg: 1.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series159.0ms (2.7%)

Memory
3.4MiB live, 100.8MiB allocated
Counts
20 → 76
Calls
Call 1
Inputs
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
Outputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x y)
(* -1 (* x y))
(* -1 x)
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (+ (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1 (/ (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))))))) (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (+ (* 1/48 (/ 1 (pow (log 2) 4))) (+ (* 1/6 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))) (log 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2)))))))))))))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) y))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))) y))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (+ (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3)))))) (+ (* -1 (/ (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))))))) (* 1/2 (- (* (log 2) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3)))))) (+ (* -1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (+ (* 1/48 (/ 1 (pow (log 2) 4))) (+ (* 1/6 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))) (log 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2)))))))))))))))) y))))
(* 1/2 (+ (log 2) (/ 1 (log 2))))
(+ (* 1/2 (* x (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) (* 1/2 (+ (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (* x (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))))))
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1/2
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Calls

6 calls:

TimeVariablePointExpression
90.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (log (+ 1 (exp x))) (sinh (log (log (+ 1 (exp x))))))
25.0ms
x
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (log (+ 1 (exp x))) (sinh (log (log (+ 1 (exp x))))))
25.0ms
x
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (log (+ 1 (exp x))) (sinh (log (log (+ 1 (exp x))))))
8.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (log (+ 1 (exp x))) (sinh (log (log (+ 1 (exp x))))))
4.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (log (+ 1 (exp x))) (+ 1 (exp x)) (* x y) (- (log (+ 1 (exp x))) (* x y)) (* (neg x) y) (neg x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (cosh (log (log (+ 1 (exp x))))) (log (log (+ 1 (exp x)))) (log (+ 1 (exp x))) (sinh (log (log (+ 1 (exp x))))))

simplify230.0ms (3.8%)

Memory
-20.5MiB live, 116.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03432776
112312649
247502565
082032361
Stop Event
1×iter limit
1×node limit
Counts
76 → 76
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
2
(+ 2 x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* x y)
(* -1 (* x y))
(* -1 x)
(- 1/2 y)
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(* 1/2 (- (log 2) (/ 1 (log 2))))
(+ (* 1/2 (* x (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3))))))) (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))))))
(+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3)))))) (+ (* -1 (/ (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2)))))))) (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))))))))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(log (+ 1 (exp x)))
(+ 1 (exp x))
(* x (- 1/2 y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(log (log (+ 1 (exp x))))
(* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y))) x))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
(- (+ 1/2 (* 1/8 x)) y)
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) x (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))))))
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(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (+ (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1 (/ (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))))))) (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (+ (* 1/48 (/ 1 (pow (log 2) 4))) (+ (* 1/6 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))) (log 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2)))))))))))))))))))
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(+ (log (log 2)) (* x (+ (* x (+ (* 1/6 (* x (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))))) (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))))) (* 1/2 (/ 1 (log 2))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (+.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) x) #s(literal 1/6 binary64) (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) x (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) x (log.f64 (log.f64 #s(literal 2 binary64))))
(* 1/2 (- (log 2) (/ 1 (log 2))))
(*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+ (* 1/2 (* x (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) x))
(+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3))))))) (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) x (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (* x (- (* (log 2) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3)))))) (+ (* -1 (/ (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2)))))))) (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))))))))
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(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ 1 (exp x))
(+.f64 (exp.f64 x) #s(literal 1 binary64))
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) x)
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(fma.f64 (-.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)))))
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) x) #s(literal 1/2 binary64) (neg.f64 y)) x)
(* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(fma.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (log1p.f64 (exp.f64 x))))
(log (log (+ 1 (exp x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(*.f64 (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) y)) x) #s(literal 1/8 binary64)))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) x) #s(literal 1/2 binary64) (neg.f64 y)) x)
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (neg.f64 y) x (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 (neg.f64 x) (-.f64 y (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(+ 1/2 (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) y))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y))) x))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) y) #s(literal 1/2 binary64) (neg.f64 x)) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (+.f64 (/.f64 (log1p.f64 (exp.f64 x)) (neg.f64 y)) x) (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) y (neg.f64 y))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))
(*.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 (exp.f64 x)))) y) #s(literal -1/2 binary64) x) (neg.f64 y))

rewrite203.0ms (3.4%)

Memory
10.0MiB live, 142.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032149
052135
1191133
21427133
08155133
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 350
Calls
Call 1
Inputs
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
(log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64)))
#s(approx (+ 1 (exp x)) #s(literal 2 binary64))
(*.f64 x y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) y)
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
(cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
Outputs
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(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
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(+.f64 (/.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) (/.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (/.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))))
(+.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) #s(literal 2 binary64))
(sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) #s(literal 2 binary64)) (/.f64 (-.f64 (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal -1 binary64))) #s(literal 2 binary64)))

eval96.0ms (1.6%)

Memory
-15.1MiB live, 81.9MiB allocated
Compiler

Compiled 17 534 to 1 730 computations (90.1% saved)

prune13.0ms (0.2%)

Memory
29.1MiB live, 29.1MiB allocated
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New3939402
Fresh000
Picked325
Done000
Total39611407
Accuracy
99.4%
Counts
407 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓86.5%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
▶85.8%
(-.f64 #s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))) (*.f64 x y))
49.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
▶46.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
55.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))))
✓54.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
46.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
▶79.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
▶35.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
▶20.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
5.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
Compiler

Compiled 553 to 379 computations (31.5% saved)

simplify113.0ms (1.9%)

Memory
-37.6MiB live, 119.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)
cost-diff0
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
cost-diff0
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
cost-diff0
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
cost-diff0
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
cost-diff0
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
cost-diff0
(-.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
cost-diff0
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
cost-diff0
(-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
cost-diff0
#s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
cost-diff0
(-.f64 #s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))) (*.f64 x y))
cost-diff2
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051386
076370
1129366
2275366
3713366
42852363
57184363
08116340
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))) (*.f64 x y))
#s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 x y)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(literal 1/8 binary64)
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y
Outputs
(-.f64 #s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))) (*.f64 x y))
(fma.f64 (neg.f64 y) x #s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
#s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
#s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal -1/8 binary64)) (*.f64 x x))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
x
#s(literal 1/8 binary64)
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
#s(literal 1/2 binary64)
x
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
y

localize108.0ms (1.8%)

Memory
11.9MiB live, 147.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)
accuracy0.1015625
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
accuracy0.1328125
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)
accuracy0.5519722581435806
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.0078125
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
accuracy0.5519722581435806
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
accuracy19.442494098202538
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.4314646282802743
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
accuracy21.199041753113946
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
accuracy28.64837586419428
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x)))
accuracy0.0
(-.f64 #s(literal 1/2 binary64) y)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
accuracy0.5519722581435806
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
accuracy28.730407114666832
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.0078125
(-.f64 #s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))) (*.f64 x y))
accuracy0.6328125
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
accuracy1.355199995442794
#s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
Samples
52.0ms162×0valid
26.0ms93×0exit
0.0ms1×1exit
Compiler

Compiled 255 to 41 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 14.0ms (23.8% of total)
ival-log: 11.0ms (18.7% of total)
ival-add: 8.0ms (13.6% of total)
ival-div: 7.0ms (11.9% of total)
ival-sub: 5.0ms (8.5% of total)
ival-exp: 4.0ms (6.8% of total)
ival-cosh: 4.0ms (6.8% of total)
ival-log1p: 3.0ms (5.1% of total)
ival-sinh: 2.0ms (3.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series123.0ms (2.1%)

Memory
19.4MiB live, 204.3MiB allocated
Counts
22 → 82
Calls
Call 1
Inputs
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(-.f64 #s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))) (*.f64 x y))
#s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)
(*.f64 x x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)
Outputs
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) y))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))) y))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (+ (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3)))))) (+ (* -1 (/ (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))))))) (* 1/2 (- (* (log 2) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3)))))) (+ (* -1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (+ (* 1/48 (/ 1 (pow (log 2) 4))) (+ (* 1/6 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))) (log 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2)))))))))))))))) y))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (+ (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1 (/ (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))))))) (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (+ (* 1/48 (/ 1 (pow (log 2) 4))) (+ (* 1/6 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))) (log 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2)))))))))))))))))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(/ (log 2) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(pow x 2)
(+ (* 1/2 (/ x y)) (/ (log 2) y))
(* -1 (* x y))
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
1/8
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* x (* y (- (* 1/2 (/ 1 y)) 1)))
(* x (+ (* y (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) x)))
(* x (- (* 1/2 (/ 1 y)) 1))
(* x (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (* y (- 1 (* 1/2 (/ 1 y))))))
(* -1 (* x (+ (* -1 (/ (log 2) x)) (* y (- 1 (* 1/2 (/ 1 y)))))))
(* -1 (* x (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* x (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (log 2) (* x y))) (* 1/2 (/ 1 y)))))
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(/ (+ (log 2) (* 1/2 x)) y)
(/ (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) y)
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y))) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* -1 x)
(- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x)
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
x
@inf
((+ (* (- (log 2) (/ 1 (log 2))) 1/2) (+ (* 1/2 (log 2)) (/ 1/2 (log 2)))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (log 2) (/ 1 (log 2))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (* x x) (/ (+ (* 1/2 x) (log 2)) y))
24.0ms
x
@-inf
((+ (* (- (log 2) (/ 1 (log 2))) 1/2) (+ (* 1/2 (log 2)) (/ 1/2 (log 2)))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (log 2) (/ 1 (log 2))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (* x x) (/ (+ (* 1/2 x) (log 2)) y))
21.0ms
y
@inf
((+ (* (- (log 2) (/ 1 (log 2))) 1/2) (+ (* 1/2 (log 2)) (/ 1/2 (log 2)))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (log 2) (/ 1 (log 2))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (* x x) (/ (+ (* 1/2 x) (log 2)) y))
16.0ms
y
@-inf
((+ (* (- (log 2) (/ 1 (log 2))) 1/2) (+ (* 1/2 (log 2)) (/ 1/2 (log 2)))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (log 2) (/ 1 (log 2))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (* x x) (/ (+ (* 1/2 x) (log 2)) y))
16.0ms
y
@0
((+ (* (- (log 2) (/ 1 (log 2))) 1/2) (+ (* 1/2 (log 2)) (/ 1/2 (log 2)))) (- (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (* x y)) (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (- (log 2) (/ 1 (log 2))) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (- 1/2 y) (log 2) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- (/ (+ (* 1/2 x) (log 2)) y) x) y) (- (/ (+ (* 1/2 x) (log 2)) y) x) (* x x) (/ (+ (* 1/2 x) (log 2)) y))

simplify228.0ms (3.8%)

Memory
24.5MiB live, 308.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03242189
111482095
242601965
087931815
Stop Event
1×iter limit
1×node limit
Counts
82 → 82
Calls
Call 1
Inputs
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) y))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))) y))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (+ (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3)))))) (+ (* -1 (/ (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))))))) (* 1/2 (- (* (log 2) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3)))))) (+ (* -1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (+ (* 1/48 (/ 1 (pow (log 2) 4))) (+ (* 1/6 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))) (log 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2)))))))))))))))) y))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))))))))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (+ (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2))))) (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))))) (+ (* 1/2 (- (+ (* 1/4 (/ 1 (pow (log 2) 3))) (* (log 2) (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (* x (+ (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1 (/ (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/48 (/ 1 (pow (log 2) 3))))) (log 2))) (+ (* -1/2 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (log 2))) (* 1/4 (/ 1 (pow (log 2) 3)))) (log 2))) (* 1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))))))) (* 1/2 (- (* (log 2) (+ (* 1/48 (/ 1 (pow (log 2) 3))) (+ (* 1/6 (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2))))) (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2)))))) (+ (* -1/2 (/ (+ (* 1/2 (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2))))) (* 1/8 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (+ (* 1/48 (/ 1 (pow (log 2) 4))) (+ (* 1/6 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (* 3/8 (/ 1 (pow (log 2) 2)))) (log 2))) (+ (* 1/4 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (pow (log 2) 2))) (* 1/2 (/ (- (* 1/4 (/ 1 (pow (log 2) 3))) (+ (* 1/8 (/ 1 (pow (log 2) 3))) (* 1/2 (/ (- (* 1/4 (/ 1 (log 2))) (* 1/4 (/ 1 (pow (log 2) 2)))) (log 2))))) (log 2)))))))))))))))))))
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(+ (log 2) (* x (* y (- (* 1/2 (/ 1 y)) 1))))
(/ (log 2) y)
(+ (* x (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) y))
(pow x 2)
(+ (* 1/2 (/ x y)) (/ (log 2) y))
(* -1 (* x y))
(* x (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) x))) y))
(+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* x (- (+ 1/2 (/ (log 2) x)) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
1/8
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* x (* y (- (* 1/2 (/ 1 y)) 1)))
(* x (+ (* y (- (* 1/2 (/ 1 y)) 1)) (/ (log 2) x)))
(* x (- (* 1/2 (/ 1 y)) 1))
(* x (- (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))) 1))
(* 1/2 (/ x y))
(* x (+ (* 1/2 (/ 1 y)) (/ (log 2) (* x y))))
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) x)) (* -1 y))))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (* y (- 1 (* 1/2 (/ 1 y))))))
(* -1 (* x (+ (* -1 (/ (log 2) x)) (* y (- 1 (* 1/2 (/ 1 y)))))))
(* -1 (* x (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* x (- (+ 1 (* -1 (/ (log 2) (* x y)))) (* 1/2 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (log 2) (* x y))) (* 1/2 (/ 1 y)))))
(+ (* -1 (* x y)) (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(/ (+ (log 2) (* 1/2 x)) y)
(/ (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) y)
(* y (- (+ (* 1/2 (/ (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y)) (* 1/2 (/ (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))) y))) x))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* -1 y)
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* -1 x)
(- (+ (* 1/2 (/ x y)) (/ (log 2) y)) x)
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x)))))) (* 1/2 (- (log (+ 1 (exp x))) (/ 1 (log (+ 1 (exp x))))))) y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
Outputs
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (* 1/2 (- (log 2) (/ 1 (log 2)))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))
(+ (* 1/2 (+ (log 2) (/ 1 (log 2)))) (+ (* 1/2 (- (log 2) (/ 1 (log 2)))) (* x (- (+ (* 1/2 (+ 1/2 (* 1/2 (/ 1 (pow (log 2) 2))))) (* 1/2 (- 1/2 (* 1/2 (/ 1 (pow (log 2) 2)))))) y))))
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rewrite286.0ms (4.8%)

Memory
-23.0MiB live, 318.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051331
076315
1320311
22486311
08969288
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 280
Calls
Call 1
Inputs
(fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))
(-.f64 #s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))) (*.f64 x y))
#s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(-.f64 #s(literal 1/2 binary64) y)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x)
(*.f64 x x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 #s(literal 1/2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (log.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) (log.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) (*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (neg.f64 (-.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))))
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(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 (log.f64 #s(literal 2 binary64)) y))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) y (*.f64 y (log.f64 #s(literal 2 binary64))))) (neg.f64 (*.f64 y y)))
(/.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 y) (*.f64 (neg.f64 y) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 y y))
(/.f64 (fma.f64 (log.f64 #s(literal 1/2 binary64)) y (*.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 y) (*.f64 y (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 y (neg.f64 y)))
(/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) y (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (*.f64 y y))
(/.f64 (fma.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y) (*.f64 (neg.f64 y) (log.f64 #s(literal 1/2 binary64)))) (*.f64 y y))
(/.f64 (fma.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) y (*.f64 (neg.f64 y) (log.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y) (*.f64 y (log.f64 #s(literal 1/2 binary64)))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) y))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 (log.f64 #s(literal 2 binary64)) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) y (*.f64 y (log.f64 #s(literal 2 binary64)))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) y))
(/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) y)
(neg.f64 (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))) y))
(neg.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (neg.f64 y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (log.f64 #s(literal 2 binary64)) y))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(+.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 (log.f64 #s(literal 2 binary64)) y))

eval56.0ms (0.9%)

Memory
22.7MiB live, 107.3MiB allocated
Compiler

Compiled 20 743 to 1 879 computations (90.9% saved)

prune39.0ms (0.7%)

Memory
0.8MiB live, 45.2MiB allocated
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New36110371
Fresh134
Picked235
Done022
Total36418382
Accuracy
99.4%
Counts
382 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓86.5%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
✓85.8%
(-.f64 #s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))) (*.f64 x y))
▶49.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓46.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
46.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))))
✓54.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
▶46.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
22.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
✓79.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
46.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)))
34.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
▶3.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
19.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
▶20.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
5.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
24.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
▶33.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
27.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
Compiler

Compiled 1 031 to 694 computations (32.7% saved)

simplify119.0ms (2%)

Memory
-25.5MiB live, 119.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(literal 2 binary64))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
cost-diff0
(+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))
cost-diff0
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
cost-diff1
(*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))
cost-diff0
#s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x))
cost-diff0
(*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))
cost-diff0
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
cost-diff0
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff0
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
cost-diff0
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
cost-diff0
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043341
056341
194341
2195341
3461341
41065341
52831341
67255341
08363318
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(literal 1/8 binary64)
x
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x)))
(*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))
#s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))
(+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))
(/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)
#s(approx (- 1/2 y) (neg.f64 y))
(neg.f64 y)
y
x
#s(literal 1/8 binary64)
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(literal 1/8 binary64)
x
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x))))
(*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))
(*.f64 (*.f64 x x) #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)))
#s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x)) x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x)) x))
(*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))
(*.f64 (fma.f64 #s(approx (- 1/2 y) (neg.f64 y)) #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) x)) x)
(+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))
(/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)
#s(approx (- 1/2 y) (neg.f64 y))
(neg.f64 y)
y
x
#s(literal 1/8 binary64)
(*.f64 x x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize75.0ms (1.3%)

Memory
38.8MiB live, 83.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy34.199338704104136
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
accuracy17.771745658008022
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
accuracy21.214666753113946
(*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))
accuracy28.64837586419428
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x)))
accuracy33.01648733098419
#s(approx (- 1/2 y) (neg.f64 y))
accuracy17.771745658008022
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
accuracy21.214666753113946
(*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))
accuracy28.64837586419428
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x)))
accuracy38.444320475733825
#s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x))
accuracy0.0078125
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
accuracy13.367038848479407
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
accuracy28.786935607521002
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
accuracy29.385604796420235
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.015625
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
accuracy17.771745658008022
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
accuracy29.385604796420235
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
Samples
44.0ms256×0valid
Compiler

Compiled 183 to 25 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 9.0ms (31.5% of total)
ival-div: 4.0ms (14% of total)
ival-add: 4.0ms (14% of total)
ival-log: 3.0ms (10.5% of total)
ival-log1p: 3.0ms (10.5% of total)
ival-exp: 2.0ms (7% of total)
ival-sub: 2.0ms (7% of total)
ival-neg: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series43.0ms (0.7%)

Memory
-25.7MiB live, 72.6MiB allocated
Counts
18 → 58
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x)))
(*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))
#s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x))
(*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x)))
(+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(approx (- 1/2 y) (neg.f64 y))
Outputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
1/8
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* -1 y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
x
@0
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- 1/2 y))
6.0ms
y
@inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- 1/2 y))
4.0ms
y
@0
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- 1/2 y))
3.0ms
x
@-inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- 1/2 y))
3.0ms
y
@-inf
((- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (* 1/8 x) (- 1/2 y)) (- 1/2 y) (- (log (+ 1 (exp x))) (* x y)) (+ (* (- 1/2 y) x) (log 2)) (* (- 1/2 y) x) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (+ (/ (- 1/2 y) x) 1/8) (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (- (log (+ 1 (exp x))) (* x y)) (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (+ (/ (- 1/2 y) x) 1/8) (- (log (+ 1 (exp x))) (* x y)) (log 2) (- 1/2 y))

simplify164.0ms (2.7%)

Memory
-19.5MiB live, 145.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0155528
1524513
21807503
37659503
08371463
Stop Event
1×iter limit
1×node limit
Counts
58 → 58
Calls
Call 1
Inputs
(log 2)
(+ (log 2) (* x (- 1/2 y)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(- 1/2 y)
(- (+ 1/2 (* 1/8 x)) y)
(* x (- 1/2 y))
(* x (- (+ 1/2 (* 1/8 x)) y))
(/ (- 1/2 y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(* -1 (* x y))
(* x (- (/ (log (+ 1 (exp x))) x) y))
(* 1/8 (pow x 2))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(* 1/8 x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(* x (- (+ 1/2 (/ (log 2) x)) y))
1/8
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(log (+ 1 (exp x)))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(+ 1/2 (* 1/8 x))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
1/2
(+ 1/2 (* -1 y))
(+ (log 2) (* 1/2 x))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(* 1/2 x)
(+ (* -1 (* x y)) (* 1/2 x))
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(+ 1/8 (* 1/2 (/ 1 x)))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(* -1 y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(* y (- (* 1/2 (/ 1 y)) 1))
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(* -1 (/ y x))
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* x (- 1/2 y)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/192 binary64) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(- 1/2 y)
(-.f64 #s(literal 1/2 binary64) y)
(- (+ 1/2 (* 1/8 x)) y)
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
(* x (- 1/2 y))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* x (- (+ 1/2 (* 1/8 x)) y))
(*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
(/ (- 1/2 y) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(/ (- (+ 1/2 (* 1/8 x)) y) x)
(/.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ (log (+ 1 (exp x))) x) y))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* 1/8 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) x) x)
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) (*.f64 x x))
(* 1/8 x)
(*.f64 #s(literal 1/8 binary64) x)
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) x)
(* x (- (+ 1/2 (/ (log 2) x)) y))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
1/8
#s(literal 1/8 binary64)
(- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y) x)
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))
(*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 #s(literal 2 binary64)) x)) x)) (*.f64 x x))
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/8 binary64)))
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))
(*.f64 (-.f64 (+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) y) x)
(log (+ 1 (exp x)))
(log1p.f64 (exp.f64 x))
(+ (log (+ 1 (exp x))) (* -1 (* x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(+ (log 2) (* x (+ 1/2 (* 1/8 x))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))
(+ 1/2 (* 1/8 x))
(fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1 y) (* 1/8 x)))
(fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 y))
(-.f64 #s(literal 1/2 binary64) y)
(+ (log 2) (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1 (* x y)) (* 1/2 x))
(*.f64 (-.f64 #s(literal 1/2 binary64) y) x)
(* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) x)
(+ (* -1 (* x y)) (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))))
(*.f64 x (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x) y))
(+ 1/8 (* 1/2 (/ 1 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64))
(+ 1/8 (+ (* -1 (/ y x)) (* 1/2 (/ 1 x))))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))
(* y (- (/ (log (+ 1 (exp x))) y) x))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) #s(literal 1 binary64)) y)
(* y (- (* 1/2 (/ 1 y)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y)
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* y (+ (* -1 x) (* 1/2 (/ x y))))
(*.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) y)
(* y (+ (* -1 x) (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))
(*.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 binary64))) y)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(* y (- (+ (/ 1/2 (* x y)) (* 1/8 (/ 1 y))) (/ 1 x)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))
(*.f64 (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x) y)
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) y) y (neg.f64 y))
(* -1 (* y (- 1 (* 1/2 (/ 1 y)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) y y))
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)
(* -1 (* y (+ x (* -1/2 (/ x y)))))
(*.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) y)
(* -1 (* y (+ x (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/2 (/ 1 x)))) y)))))
(*.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) x #s(literal -1 binary64))) y)
(* -1 (* y (+ (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) y)) (/ 1 x))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) y) y (/.f64 (neg.f64 y) x))

rewrite181.0ms (3%)

Memory
-4.8MiB live, 130.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043300
056300
1218300
21546300
08177280
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 133
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))
#s(approx (- 1/2 y) #s(literal 1/2 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x)))
(*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))
#s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x))
(*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x)))
(+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(approx (- 1/2 y) (neg.f64 y))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (fma.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) x) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64)) (fma.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64)))) (*.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x) (log.f64 #s(literal 2 binary64)))))
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#s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))) (*.f64 (/.f64 #s(literal 1/512 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/512 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))))) (-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/512 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))) (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))) (fma.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/512 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal 1/512 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/512 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/512 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))) (*.f64 (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) #s(literal 1/64 binary64))) (*.f64 (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))) #s(literal 1/512 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (neg.f64 (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x))) (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (-.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))))
(+.f64 (/.f64 #s(literal 1/512 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))) (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))))))
(+.f64 (/.f64 #s(literal 1/512 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/512 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (*.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)))))
(+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(approx (- 1/2 y) (neg.f64 y))

eval22.0ms (0.4%)

Memory
22.9MiB live, 22.9MiB allocated
Compiler

Compiled 10 033 to 841 computations (91.6% saved)

prune39.0ms (0.7%)

Memory
-8.9MiB live, 49.7MiB allocated
Pruning

18 alts after pruning (8 fresh and 10 done)

PrunedKeptTotal
New1820182
Fresh088
Picked055
Done055
Total18218200
Accuracy
99.4%
Counts
200 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓86.5%
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
✓85.8%
(-.f64 #s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))) (*.f64 x y))
✓49.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
✓46.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
46.3%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))))
✓54.7%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
✓46.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
22.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
✓79.0%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
46.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)))
34.9%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
✓3.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
19.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
✓20.1%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
5.5%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
24.2%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
✓33.6%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
27.8%
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
Compiler

Compiled 1 319 to 544 computations (58.8% saved)

regimes26.0ms (0.4%)

Memory
-3.4MiB live, 39.8MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(-.f64 #s(approx (+ (cosh (log (log (+ 1 (exp x))))) (sinh (log (log (+ 1 (exp x)))))) (fma.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x) (log.f64 #s(literal 2 binary64))))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) y) x) (log.f64 #s(literal 2 binary64))))))
(-.f64 (+.f64 (cosh.f64 (log.f64 (log1p.f64 (exp.f64 x)))) (sinh.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Calls

3 calls:

11.0ms
x
7.0ms
y
6.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.9%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
98.9%1x
98.9%1y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes34.0ms (0.6%)

Memory
-15.6MiB live, 29.0MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) y) x) y)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))))
Calls

3 calls:

22.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
6.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
97.6%2(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
99.3%2x
86.5%1y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes6.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(approx (- 1/2 y) #s(literal 1/2 binary64))) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.1%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.7%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

2 calls:

4.0ms
x
4.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
98.1%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
85.7%3x
Compiler

Compiled 10 to 10 computations (0% saved)

regimes4.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

1 calls:

3.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
97.8%3(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes11.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (-.f64 #s(literal 1/2 binary64) y) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) #s(approx (* (+ (/ (- 1/2 y) x) 1/8) (* x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (neg.f64 y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 #s(approx (+ (/ (- 1/2 y) x) 1/8) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- (/ (+ (* 1/2 x) (log 2)) y) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)) y)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 #s(approx (- 1/2 y) (neg.f64 y)) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64)) (*.f64 x x))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (+.f64 y #s(literal 1/2 binary64))) x)))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (+ (* 1/8 x) (- 1/2 y)) x) (log 2)) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 1/2 binary64) y) x)))))
Outputs
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
Calls

3 calls:

4.0ms
x
4.0ms
y
3.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
54.7%1x
54.7%1y
54.7%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes36.0ms (0.6%)

Memory
-38.2MiB live, 8.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

34.0ms
y
1.0ms
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
1.0ms
x
Results
AccuracySegmentsBranch
3.5%1x
3.5%1(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
3.5%1y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch15.0ms (0.2%)

Memory
24.7MiB live, 24.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-359913764262.7456
-5478.585714484696
Samples
8.0ms144×0valid
Compiler

Compiled 318 to 272 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-exp: 2.0ms (42.2% of total)
ival-sub: 1.0ms (21.1% of total)
ival-log1p: 1.0ms (21.1% of total)
ival-mult: 1.0ms (21.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-359913764262.7456
-5478.585714484696
Compiler

Compiled 291 to 254 computations (12.7% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-359913764262.7456
-5478.585714484696
Compiler

Compiled 237 to 218 computations (8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.6931481078341436
1.4867509031924877
0.0ms
0.022580170938442987
0.693048474885427
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.6931481078341436
1.4867509031924877
0.0ms
0.022580170938442987
0.693048474885427
Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify51.0ms (0.9%)

Memory
3.0MiB live, 54.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052260
179260
2110260
3158260
4308260
51640260
65988260
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -5500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))
Outputs
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x #s(literal -5500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5500 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (-.f64 (log.f64 #s(approx (+ 1 (exp x)) #s(literal 2 binary64))) (*.f64 x y)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 5764607523034235/144115188075855872 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (fma.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x (log.f64 #s(literal 2 binary64)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))))
(if (or (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 5764607523034235/144115188075855872 binary64)) (not (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 1 binary64)))) #s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y)) #s(approx (- (log (+ 1 (exp x))) (* x y)) (log.f64 #s(literal 2 binary64))))
#s(approx (- (log (+ 1 (exp x))) (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- (log (+ 1 (exp x))) (* x y)) #s(approx (+ (* (- 1/2 y) x) (log 2)) (*.f64 #s(approx (- 1/2 y) #s(literal 1/2 binary64)) x)))

soundness800.0ms (13.4%)

Memory
-1.9MiB live, 517.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03432776
112312649
247502565
082032361
067194
1212194
2648194
32113194
44357184
57784184
08104150
03242189
111482095
242601965
087931815
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 366 to 158 computations (56.8% saved)

preprocess89.0ms (1.5%)

Memory
-21.6MiB live, 115.2MiB allocated
Compiler

Compiled 590 to 162 computations (72.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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