neg log

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (20.8%)

Memory
47.5MiB live, 879.1MiB allocated
Samples
802.0ms8 256×0valid
1.0ms11×0invalid
Precisions
Click to see histograms. Total time spent on operations: 363.0ms
ival-log: 123.0ms (33.9% of total)
ival-neg: 107.0ms (29.5% of total)
ival-div: 75.0ms (20.7% of total)
ival-sub: 44.0ms (12.1% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 4.0ms (1.1% of total)
Bogosity

explain210.0ms (4.1%)

Memory
-9.5MiB live, 83.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
00-0-(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
145.0ms512×0valid
Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-log: 11.0ms (39.2% of total)
ival-div: 7.0ms (25% of total)
ival-sub: 4.0ms (14.3% of total)
ival-neg: 4.0ms (14.3% of total)
ival-true: 1.0ms (3.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess29.0ms (0.6%)

Memory
-25.0MiB live, 27.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
11213
21513
067
0107
1127
0127
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
01023
11223
01223
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize33.0ms (0.6%)

Memory
24.9MiB live, 24.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
accuracy0.00390625
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy0.00390625
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
Samples
24.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-log: 6.0ms (42.3% of total)
ival-div: 4.0ms (28.2% of total)
ival-sub: 2.0ms (14.1% of total)
ival-neg: 2.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated
Counts
4 → 22
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log x))
(+ (* -1 x) (* -1 (log x)))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
-1
(- (/ 1 x) 1)
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
Calls

3 calls:

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

simplify196.0ms (3.8%)

Memory
14.9MiB live, 144.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075194
1212169
2614169
31918169
44582169
56409169
67865169
08222161
Stop Event
iter limit
node limit
Counts
22 → 22
Calls
Call 1
Inputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log x))
(+ (* -1 x) (* -1 (log x)))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
-1
(- (/ 1 x) 1)
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(* -1 (log x))
(neg.f64 (log.f64 x))
(+ (* -1 x) (* -1 (log x)))
(neg.f64 (+.f64 (log.f64 x) x))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (/ 1 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x))

rewrite196.0ms (3.8%)

Memory
18.0MiB live, 203.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621
01021
13321
218121
3200921
0922218
Stop Event
iter limit
node limit
iter limit
Counts
4 → 284
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(*.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (log1p.f64 (pow.f64 x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (log1p.f64 (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (log1p.f64 (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
(fma.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 0 binary64))
(fma.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) (/.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 0 binary64)))) (/.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))))) (log.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))) (log1p.f64 (pow.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))))) (log1p.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))
(-.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))) (log.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (log.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3/2 binary64)) (pow.f64 x #s(literal -6 binary64))))) (log.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -3 binary64)))) (pow.f64 x #s(literal -4 binary64)))))
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(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 (log.f64 x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))))
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))) (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x))))))
(+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (expm1.f64 (neg.f64 (log.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(*.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (fabs.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (fabs.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 x)) (cosh.f64 (log.f64 x))) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))) (-.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (neg.f64 (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 x)) (cosh.f64 (log.f64 x)) (-.f64 (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x)))) (*.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (neg.f64 (log.f64 x)))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (neg.f64 x))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (fabs.f64 (fabs.f64 x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
(fabs.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (neg.f64 (log.f64 x))))

eval61.0ms (1.2%)

Memory
-4.2MiB live, 96.2MiB allocated
Compiler

Compiled 6 435 to 1 235 computations (80.8% saved)

prune23.0ms (0.5%)

Memory
-27.1MiB live, 17.6MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2994303
Fresh000
Picked101
Done000
Total3004304
Accuracy
100.0%
Counts
304 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
98.8%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
97.6%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Compiler

Compiled 51 to 39 computations (23.5% saved)

simplify66.0ms (1.3%)

Memory
-6.4MiB live, 37.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
019111
029111
138111
259111
3124111
4271111
5424111
6639111
7911111
8981111
91011111
101017111
01017111
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 x)
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 x)
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(log.f64 #s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize78.0ms (1.5%)

Memory
-6.4MiB live, 108.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
accuracy0.0
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
accuracy0.00390625
(log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
accuracy0.01171875
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy0.0
(log.f64 x)
accuracy0.0234375
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
accuracy0.4187272879617479
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
accuracy0.0
(log.f64 x)
accuracy0.03125
(+.f64 (log.f64 x) x)
accuracy0.733642613247962
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
accuracy0.0
(log.f64 x)
accuracy1.5500913986830813
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Samples
67.0ms256×0valid
Compiler

Compiled 81 to 17 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-add: 39.0ms (69.5% of total)
ival-log: 6.0ms (10.7% of total)
ival-div: 4.0ms (7.1% of total)
ival-mult: 3.0ms (5.3% of total)
ival-sub: 2.0ms (3.6% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series55.0ms (1.1%)

Memory
8.2MiB live, 96.2MiB allocated
Counts
11 → 37
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
Outputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
1
(+ 1 (* 1/2 x))
(* -1 (log x))
(+ (* -1 x) (* -1 (log x)))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log (/ 1 x)))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
-1
(- (/ 1 x) 1)
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
Calls

3 calls:

TimeVariablePointExpression
27.0ms
x
@0
((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ (- 1 x) x))
21.0ms
x
@-inf
((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ (- 1 x) x))
7.0ms
x
@inf
((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ (- 1 x) x))

simplify221.0ms (4.3%)

Memory
17.9MiB live, 164.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105299
1323270
2953269
33882269
08368256
Stop Event
iter limit
node limit
Counts
37 → 36
Calls
Call 1
Inputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
1
(+ 1 (* 1/2 x))
(* -1 (log x))
(+ (* -1 x) (* -1 (log x)))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log (/ 1 x)))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
-1
(- (/ 1 x) 1)
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* -1 (log x))
(neg.f64 (log.f64 x))
(+ (* -1 x) (* -1 (log x)))
(-.f64 (neg.f64 x) (log.f64 x))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x (neg.f64 (log.f64 x)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (neg.f64 (log.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(* -1 (log (/ 1 x)))
(log.f64 x)
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (/ 1 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) #s(literal 1 binary64)) (neg.f64 x))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))) x)
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))

rewrite277.0ms (5.4%)

Memory
-10.4MiB live, 222.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01997
02997
110397
269397
3765197
0834287
Stop Event
iter limit
node limit
iter limit
Counts
11 → 266
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
#s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 x)
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (log.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (log.f64 x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 x (log.f64 x)) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (log.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (log.f64 x)) x) (-.f64 (*.f64 (-.f64 x (log.f64 x)) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (log.f64 x) x))
(*.f64 (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (log.f64 x) x) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (+.f64 (log.f64 x) x) (/.f64 (-.f64 (log.f64 x) x) (-.f64 (log.f64 x) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x))) (*.f64 (*.f64 x (/.f64 x (-.f64 (log.f64 x) x))) (*.f64 x (/.f64 x (-.f64 (log.f64 x) x))))) (fma.f64 (log.f64 x) (/.f64 (log.f64 x) (-.f64 (log.f64 x) x)) (*.f64 x (/.f64 x (-.f64 (log.f64 x) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 (log.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (fma.f64 (*.f64 x (/.f64 x (-.f64 (log.f64 x) x))) (*.f64 x (/.f64 x (-.f64 (log.f64 x) x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (*.f64 x (/.f64 x (-.f64 (log.f64 x) x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (log.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (log.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (*.f64 (-.f64 (log.f64 x) x) (*.f64 x x))) (*.f64 (-.f64 (log.f64 x) x) (-.f64 (log.f64 x) x)))
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 x) x) #s(literal 3 binary64))) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (log.f64 x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (log.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (-.f64 (log.f64 x) x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (log.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (log.f64 x) x)))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (log.f64 x) x) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (log.f64 x) x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (log.f64 x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 x (log.f64 x)) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x (log.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (log.f64 x)) x) (-.f64 (*.f64 (-.f64 x (log.f64 x)) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (log.f64 x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 x (log.f64 x)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x (log.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (log.f64 x)) x) (-.f64 (*.f64 (-.f64 x (log.f64 x)) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x (log.f64 x)) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (log.f64 x)) (/.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (log.f64 x) x)))
(fma.f64 (fabs.f64 (log.f64 x)) (/.f64 (fabs.f64 (log.f64 x)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (log.f64 x) x)))
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(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/.f64 (expm1.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64))
(neg.f64 (neg.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(expm1.f64 (neg.f64 (log.f64 x)))
(-.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) x))
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) x))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x x)))

eval68.0ms (1.3%)

Memory
16.9MiB live, 161.3MiB allocated
Compiler

Compiled 10 815 to 1 336 computations (87.6% saved)

prune39.0ms (0.8%)

Memory
-25.3MiB live, 21.1MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3031304
Fresh000
Picked044
Done000
Total3035308
Accuracy
100.0%
Counts
308 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
98.8%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
97.6%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Compiler

Compiled 75 to 56 computations (25.3% saved)

simplify14.0ms (0.3%)

Memory
21.4MiB live, 21.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01650
01850
13150
27150
319650
436850
553050
661950
766150
066146
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)

localize84.0ms (1.6%)

Memory
-20.7MiB live, 38.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
accuracy0.4187272879617479
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
accuracy62.26552396872172
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
Samples
77.0ms256×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-neg: 47.0ms (67.3% of total)
ival-log: 10.0ms (14.3% of total)
ival-mult: 6.0ms (8.6% of total)
ival-div: 2.0ms (2.9% of total)
ival-add: 2.0ms (2.9% of total)
ival-sub: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
4 → 16
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
Outputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(pow x 2)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x))
1.0ms
x
@inf
((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x))
1.0ms
x
@0
((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x))

simplify131.0ms (2.6%)

Memory
23.7MiB live, 154.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064161
1198152
2559143
31891136
45558136
08192126
Stop Event
iter limit
node limit
Counts
16 → 16
Calls
Call 1
Inputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(pow x 2)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (log.f64 x) x)) x x)
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (-.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64))) (neg.f64 x))

rewrite255.0ms (5%)

Memory
-3.0MiB live, 188.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01648
01848
17548
250048
3567548
0840843
Stop Event
iter limit
node limit
iter limit
Counts
4 → 31
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))

eval6.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Compiler

Compiled 1 151 to 206 computations (82.1% saved)

prune24.0ms (0.5%)

Memory
-24.4MiB live, 28.6MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New46147
Fresh000
Picked011
Done044
Total46652
Accuracy
100.0%
Counts
52 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
98.8%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
97.6%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
2.8%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))
Compiler

Compiled 104 to 75 computations (27.9% saved)

simplify21.0ms (0.4%)

Memory
21.0MiB live, 21.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))
cost-diff1
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
cost-diff4
(*.f64 (*.f64 x x) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01880
02263
14258
211256
332156
458856
581256
689356
791556
891756
991756
091752
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/2 binary64)
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 x x)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)

localize42.0ms (0.8%)

Memory
1.9MiB live, 47.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy0.4187272879617479
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))
accuracy14.387073559092677
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
accuracy62.26552396872172
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64)))
Samples
33.0ms256×0valid
Compiler

Compiled 49 to 18 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 7.0ms (28.9% of total)
ival-log: 6.0ms (24.8% of total)
ival-div: 4.0ms (16.5% of total)
ival-add: 2.0ms (8.3% of total)
ival-sqrt: 2.0ms (8.3% of total)
ival-sub: 1.0ms (4.1% of total)
ival-neg: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-39.0MiB live, 5.9MiB allocated
Counts
4 → 17
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (*.f64 x x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64)))
Outputs
(pow x 4)
(pow x 2)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* (* x x) (* x x)) (sqrt (* (* x x) (* x x))) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)))
1.0ms
x
@-inf
((* (* x x) (* x x)) (sqrt (* (* x x) (* x x))) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)))
1.0ms
x
@0
((* (* x x) (* x x)) (sqrt (* (* x x) (* x x))) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)))

simplify174.0ms (3.4%)

Memory
33.3MiB live, 174.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066164
1200155
2563146
31896139
45555139
08187129
Stop Event
iter limit
node limit
Counts
17 → 17
Calls
Call 1
Inputs
(pow x 4)
(pow x 2)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
Outputs
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (log.f64 x) x)) x x)
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x (-.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) x) #s(literal 1 binary64))) (neg.f64 x))

rewrite175.0ms (3.4%)

Memory
-13.1MiB live, 181.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01865
02251
19046
260546
3677746
0845441
Stop Event
iter limit
node limit
iter limit
Counts
4 → 54
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (*.f64 x x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64)))
Outputs
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 x x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 8 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 4 binary64) (log.f64 x))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))

eval9.0ms (0.2%)

Memory
10.0MiB live, 10.0MiB allocated
Compiler

Compiled 1 915 to 365 computations (80.9% saved)

prune6.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New70171
Fresh000
Picked101
Done145
Total72577
Accuracy
100.0%
Counts
77 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
98.8%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
97.6%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
4.2%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
Compiler

Compiled 210 to 100 computations (52.4% saved)

regimes54.0ms (1%)

Memory
-27.8MiB live, 18.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Outputs
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
Calls

5 calls:

42.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms
x
3.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms
(/.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
100.0%1(/.f64 #s(literal 1 binary64) x)
100.0%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
100.0%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
100.0%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
100.0%1x
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes12.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
Calls

5 calls:

2.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms
x
2.0ms
(/.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
99.3%1(/.f64 #s(literal 1 binary64) x)
99.3%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
99.3%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
99.3%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.3%1x
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes10.0ms (0.2%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
Calls

5 calls:

2.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms
x
2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.8%1(/.f64 #s(literal 1 binary64) x)
98.8%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
98.8%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
98.8%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
98.8%1x
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes72.0ms (1.4%)

Memory
-27.3MiB live, 17.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Calls

5 calls:

64.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
97.6%1(/.f64 #s(literal 1 binary64) x)
97.6%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
97.6%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
97.6%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
97.6%1x
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes8.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated
Accuracy

Total -0.9b remaining (-1.5%)

Threshold costs -0.9b (-1.5%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2 binary64))))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
Calls

5 calls:

2.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
1.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
1.0ms
(/.f64 #s(literal 1 binary64) x)
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
1.0ms
x
Results
AccuracySegmentsBranch
4.2%1(/.f64 #s(literal 1 binary64) x)
4.2%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.2%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
4.2%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.2%1x
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify31.0ms (0.6%)

Memory
-31.1MiB live, 22.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02975
14175
26375
313275
429475
553675
676275
7106775
8110775
9113775
10116675
Stop Event
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))
Outputs
(neg.f64 (log.f64 #s(approx (- (/ 1 x) 1) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x)))

soundness1.3s (25.8%)

Memory
55.9MiB live, 621.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105299
1323270
2953269
33882269
08368256
075194
1212169
2614169
31918169
44582169
56409169
67865169
08222161
01865
02251
19046
260546
3677746
0845441
01648
01848
17548
250048
3567548
0840843
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 157 to 91 computations (42% saved)

preprocess33.0ms (0.7%)

Memory
-20.9MiB live, 71.8MiB allocated
Compiler

Compiled 164 to 74 computations (54.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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