qlog (example 3.10)

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze4.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
25%12.5%37.5%50%0%0%0%3
62.5%31.2%18.7%50%0%0%0%4
81.3%40.6%9.4%50%0%0%0%5
90.6%45.3%4.7%50%0%0%0%6
95.3%47.6%2.3%50%0%0%0%7
97.7%48.8%1.2%50%0%0%0%8
98.8%49.4%0.6%50%0%0%0%9
99.4%49.7%0.3%50%0%0%0%10
99.7%49.8%0.1%50%0%0%0%11
99.9%49.9%0.1%50%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample3.0s (35.6%)

Memory
-10.5MiB live, 2 350.1MiB allocated; 1.1s collecting garbage
Samples
1.3s4 845×1valid
1.3s3 237×2valid
12.0ms174×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-log: 1.5s (65.6% of total)
adjust: 350.0ms (15.6% of total)
ival-div: 145.0ms (6.4% of total)
ival-sub: 140.0ms (6.2% of total)
ival-fabs: 54.0ms (2.4% of total)
ival-log1p: 54.0ms (2.4% of total)
ival-<=: 23.0ms (1% of total)
exact: 6.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain248.0ms (2.9%)

Memory
-23.0MiB live, 316.3MiB allocated; 25ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(log.f64 (+.f64 #s(literal 1 binary64) x))
2540-0-(log.f64 (-.f64 #s(literal 1 binary64) x))
00-0-(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) x))sensitivity2540
log.f64(log.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2540
Confusion
Predicted +Predicted -
+2470
-72
Precision
0.9724409448818898
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+24700
-702
Precision?
0.9724409448818898
Recall?
1.0
Freqs
test
numberfreq
02
2254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
89.0ms234×2valid
48.0ms262×1valid
1.0ms16×0valid
Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-log: 63.0ms (55.6% of total)
adjust: 25.0ms (22.1% of total)
ival-div: 10.0ms (8.8% of total)
ival-sub: 7.0ms (6.2% of total)
ival-log1p: 4.0ms (3.5% of total)
ival-add: 3.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess12.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11623
079
0129
1159
0157
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.2%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01225
11525
01521
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
Outputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

localize125.0ms (1.5%)

Memory
32.5MiB live, 114.7MiB allocated; 15ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy0.021816259768442016
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy58.4906881660151
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy58.49134685627078
(log.f64 (+.f64 #s(literal 1 binary64) x))
Samples
69.0ms117×2valid
47.0ms131×1valid
1.0ms0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-log: 80.0ms (77.3% of total)
adjust: 12.0ms (11.6% of total)
ival-div: 4.0ms (3.9% of total)
ival-sub: 4.0ms (3.9% of total)
ival-log1p: 2.0ms (1.9% of total)
ival-add: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory
-17.3MiB live, 22.5MiB allocated; 21ms collecting garbage
Counts
5 → 42
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
Outputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
1
(+ 1 (* -1 x))
(+ 1 x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* x (- (/ 1 x) 1))
(* x (+ 1 (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 (* x (- 1 (/ 1 x))))
Calls

3 calls:

TimeVariablePointExpression
42.0ms
x
@inf
((log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (- 1 x) (+ 1 x))
2.0ms
x
@-inf
((log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (- 1 x) (+ 1 x))
1.0ms
x
@0
((log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (- 1 x) (+ 1 x))

simplify190.0ms (2.2%)

Memory
5.8MiB live, 97.5MiB allocated; 43ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171077
1681941
22315857
08506847
Stop Event
iter limit
node limit
Counts
42 → 41
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
1
(+ 1 (* -1 x))
(+ 1 x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* x (- (/ 1 x) 1))
(* x (+ 1 (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #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 (neg.f64 x) #s(literal 1 binary64))
(- (* x (- (* -1/2 x) 1)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 x)
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(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
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(+ (log -1) (* -1 (log (/ 1 x))))
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(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
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(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #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)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64)) (/.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (neg.f64 x)) (/.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))

rewrite168.0ms (2%)

Memory
3.9MiB live, 94.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01223
13623
219323
3170923
01071415
Stop Event
iter limit
node limit
iter limit
Counts
5 → 667
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
Outputs
(log1p.f64 (neg.f64 x))
(log1p.f64 x)
(/.f64 (+.f64 (pow.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))
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(neg.f64 (neg.f64 (log1p.f64 x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))
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(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) x))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)))
(+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)

eval96.0ms (1.1%)

Memory
-14.0MiB live, 83.0MiB allocated; 57ms collecting garbage
Compiler

Compiled 11 897 to 1 691 computations (85.8% saved)

prune9.0ms (0.1%)

Memory
30.7MiB live, 30.7MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3737380
Fresh000
Picked011
Done000
Total3738381
Accuracy
99.9%
Counts
381 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.9%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
6.1%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
4.2%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
5.5%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
99.2%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
98.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
98.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
97.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 239 to 181 computations (24.3% saved)

simplify206.0ms (2.4%)

Memory
-3.6MiB live, 185.3MiB allocated; 34ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff1
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
cost-diff1
(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
cost-diff0
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
cost-diff0
(neg.f64 x)
cost-diff0
(-.f64 (neg.f64 x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
cost-diff0
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
cost-diff0
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038250
060250
174250
2101250
3161250
4382250
51061250
62250250
73441250
83848250
94473250
105125250
116178250
127934250
08036227
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -5/12 binary64) x)
#s(literal -5/12 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -5/12 binary64) x)
#s(literal -5/12 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log1p.f64 (neg.f64 x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)

localize267.0ms (3.1%)

Memory
2.7MiB live, 333.0MiB allocated; 63ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.014003759768442016
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
accuracy0.31808473486128447
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy0.33203125
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy52.48269968920818
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) x)
accuracy0.0078125
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
accuracy0.44621381729059334
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
accuracy0.0
(-.f64 (neg.f64 x) #s(literal 1 binary64))
accuracy0.0
(neg.f64 x)
accuracy0.6127152314352328
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
accuracy0.8600539678732222
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
accuracy0.00390625
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
accuracy0.0078125
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
accuracy0.18359375
(*.f64 #s(literal -5/12 binary64) x)
accuracy0.322617693108299
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
Samples
123.0ms105×2valid
78.0ms118×1valid
39.0ms28×5exit
1.0ms0valid
Compiler

Compiled 200 to 33 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
adjust: 74.0ms (39.2% of total)
ival-log: 35.0ms (18.5% of total)
const: 31.0ms (16.4% of total)
ival-mult: 21.0ms (11.1% of total)
ival-sub: 15.0ms (7.9% of total)
ival-div: 5.0ms (2.6% of total)
ival-add: 5.0ms (2.6% of total)
ival-log1p: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Counts
21 → 69
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -5/12 binary64) x)
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
Outputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
1
(+ 1 (* -1 x))
(* -5/12 x)
(* -1/2 x)
(* x (- (* -5/12 x) 1/2))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1 (* x (+ 1/2 (/ 1 x))))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* x (- (/ 1 x) 1))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* -1 (* x (- 1 (/ 1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (- (* (- (* -5/12 x) 1/2) x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (- (neg x) 1) (neg x) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* -1/2 x) 1) x) 1) (* (- (* -1/2 x) 1) x) (- (* -1/2 x) 1) (log (- 1 x)) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (* -5/12 x) (* (- (* -5/12 x) 1/2) x) (* -1/2 x) (* (+ (* -1/4 x) 1/3) x) (log (+ 1 x)))
3.0ms
x
@-inf
((/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (- (* (- (* -5/12 x) 1/2) x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (- (neg x) 1) (neg x) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* -1/2 x) 1) x) 1) (* (- (* -1/2 x) 1) x) (- (* -1/2 x) 1) (log (- 1 x)) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (* -5/12 x) (* (- (* -5/12 x) 1/2) x) (* -1/2 x) (* (+ (* -1/4 x) 1/3) x) (log (+ 1 x)))
2.0ms
x
@0
((/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (- (* (- (* -5/12 x) 1/2) x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (- (neg x) 1) (neg x) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* -1/2 x) 1) x) 1) (* (- (* -1/2 x) 1) x) (- (* -1/2 x) 1) (log (- 1 x)) (- (* (+ (* -1/4 x) 1/3) x) 1/2) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (* -5/12 x) (* (- (* -5/12 x) 1/2) x) (* -1/2 x) (* (+ (* -1/4 x) 1/3) x) (log (+ 1 x)))

simplify282.0ms (3.3%)

Memory
-38.9MiB live, 253.3MiB allocated; 61ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02661326
18391185
230511117
084181098
Stop Event
iter limit
node limit
Counts
69 → 68
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
1
(+ 1 (* -1 x))
(* -5/12 x)
(* -1/2 x)
(* x (- (* -5/12 x) 1/2))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1 (* x (+ 1/2 (/ 1 x))))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* x (- (/ 1 x) 1))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* -1 (* x (- 1 (/ 1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(- (* -1/2 x) 1)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
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rewrite161.0ms (1.9%)

Memory
5.8MiB live, 187.6MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038202
060202
1195202
21354200
08363176
Stop Event
iter limit
node limit
iter limit
Counts
21 → 270
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -5/12 binary64) x)
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(+.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 #s(literal -1/4 binary64) x)))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

eval55.0ms (0.6%)

Memory
43.5MiB live, 88.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 14 647 to 1 827 computations (87.5% saved)

prune20.0ms (0.2%)

Memory
-36.6MiB live, 19.4MiB allocated; 8ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3323335
Fresh022
Picked325
Done011
Total3358343
Accuracy
99.9%
Counts
343 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.9%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
6.1%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
4.2%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.4%
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
98.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
99.2%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
98.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
97.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 233 to 169 computations (27.5% saved)

simplify141.0ms (1.7%)

Memory
41.0MiB live, 126.4MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff1
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
cost-diff1
(-.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff1
(log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
cost-diff1
(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
(log1p.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
cost-diff1
(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
cost-diff1
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
cost-diff0
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
cost-diff0
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff1
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046328
079326
1100326
2165326
3310326
4745322
52121322
64568322
76378322
87127320
08019298
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x)
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
#s(literal -1/2 binary64)
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log1p.f64 x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x)
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
#s(literal -1/2 binary64)
x
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log1p.f64 x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(/.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))
(log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(log1p.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
(log1p.f64 (neg.f64 x))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal 1 binary64))

localize519.0ms (6.1%)

Memory
-58.7MiB live, 548.7MiB allocated; 143ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.021816259768442016
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
accuracy27.316294905925623
(log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
accuracy58.4906881660151
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy58.4906881660151
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0
(log1p.f64 x)
accuracy0.021816259768442016
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
accuracy58.4906881660151
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
accuracy0.0
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
accuracy0.0078125
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
accuracy0.6982249450865015
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
accuracy0.0
(-.f64 #s(literal -1 binary64) x)
accuracy0.9700974463890337
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
accuracy0.3359375
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy0.33984375
(*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x)
accuracy0.5131122729103981
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy0.5149899163071745
#s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
Samples
263.0ms117×2valid
204.0ms134×1valid
1.0ms0valid
Compiler

Compiled 279 to 40 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 339.0ms
ival-log: 145.0ms (42.7% of total)
adjust: 114.0ms (33.6% of total)
ival-mult: 26.0ms (7.7% of total)
ival-sub: 25.0ms (7.4% of total)
ival-div: 8.0ms (2.4% of total)
const: 8.0ms (2.4% of total)
ival-add: 6.0ms (1.8% of total)
ival-neg: 5.0ms (1.5% of total)
ival-log1p: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
29.7MiB live, 29.7MiB allocated; 0ms collecting garbage
Counts
21 → 87
Calls
Call 1
Inputs
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) x)
(log1p.f64 x)
(log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
Outputs
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
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(* -1 x)
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(- (* -1/2 x) 1)
1
(+ 1 (* -1 x))
x
(* x (+ 1 (* -1/2 x)))
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(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(- (pow x 2) 1)
(* -1/3 x)
(* x (- (* -1/4 x) 1/3))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
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(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
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(/ (+ (log -1) (* -1 (log (/ 1 x)))) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))
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(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
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(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))))
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Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((- (* (+ (* -1/4 x) 1/3) x) 1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (- (* (+ (* -1/2 x) -1) x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (* (+ (* -1/2 x) -1) x) (+ (* -1/2 x) -1) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (log (neg (- (* x x) 1))) (- (* x x) 1) (log (neg (- x 1))) (log (+ 1 x)) (* (- (* -1/4 x) 1/3) x) (* (+ (* -1/4 x) 1/3) x) (/ (log (- 1 x)) (- (log (neg (- (* x x) 1))) (log (neg (- x 1))))))
5.0ms
x
@-inf
((- (* (+ (* -1/4 x) 1/3) x) 1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (- (* (+ (* -1/2 x) -1) x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (* (+ (* -1/2 x) -1) x) (+ (* -1/2 x) -1) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (log (neg (- (* x x) 1))) (- (* x x) 1) (log (neg (- x 1))) (log (+ 1 x)) (* (- (* -1/4 x) 1/3) x) (* (+ (* -1/4 x) 1/3) x) (/ (log (- 1 x)) (- (log (neg (- (* x x) 1))) (log (neg (- x 1))))))
2.0ms
x
@0
((- (* (+ (* -1/4 x) 1/3) x) 1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (- (* (+ (* -1/2 x) -1) x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (* (+ (* -1/2 x) -1) x) (+ (* -1/2 x) -1) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (log (neg (- (* x x) 1))) (- (* x x) 1) (log (neg (- x 1))) (log (+ 1 x)) (* (- (* -1/4 x) 1/3) x) (* (+ (* -1/4 x) 1/3) x) (/ (log (- 1 x)) (- (log (neg (- (* x x) 1))) (log (neg (- x 1))))))

simplify138.0ms (1.6%)

Memory
-15.7MiB live, 125.6MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04222356
113461951
255981856
080171829
Stop Event
iter limit
node limit
Counts
87 → 86
Calls
Call 1
Inputs
-1/2
(- (* 1/3 x) 1/2)
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
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(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(- (* -1/2 x) 1)
1
(+ 1 (* -1 x))
x
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(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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(/ (+ (log -1) (* -1 (log (/ 1 x)))) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))
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(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
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Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))
(- (* x (+ 1/3 (* -1/4 x))) 1/2)
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(- (* -1 x) 1)
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(* -1 x)
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(- (* -1/2 x) 1)
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(+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (* x (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))))) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (log (/ -1 x)) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (- (+ (log -1) (* -2 (log (/ -1 x)))) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x))

rewrite197.0ms (2.3%)

Memory
-3.7MiB live, 179.0MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046208
079197
1249197
21680197
08297195
Stop Event
iter limit
node limit
iter limit
Counts
21 → 328
Calls
Call 1
Inputs
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) x)
(log1p.f64 x)
(log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)))))
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(*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) x)
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/4 binary64)) x) (*.f64 (*.f64 x #s(literal -1/4 binary64)) x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (*.f64 x #s(literal -1/4 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 (*.f64 x #s(literal -1/4 binary64)) x) (*.f64 (*.f64 x #s(literal -1/4 binary64)) x))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 x #s(literal -1/4 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64)))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal -1/4 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal -1/4 binary64)) x) (*.f64 (*.f64 x #s(literal -1/4 binary64)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 (*.f64 x #s(literal -1/4 binary64)) x) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal -1/4 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/4 binary64)) x) (*.f64 (*.f64 x #s(literal -1/4 binary64)) x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 x #s(literal -1/4 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x)) (neg.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64))) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x #s(literal -1/4 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 x #s(literal -1/4 binary64)) x))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal -1/4 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 x #s(literal -1/4 binary64)) x))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(*.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (log1p.f64 x))) (log.f64 (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) (log.f64 (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (pow.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (neg.f64 (neg.f64 (log1p.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (log1p.f64 x))))
(/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (log1p.f64 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(neg.f64 (/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)))
(neg.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (log1p.f64 x))))
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 x)) (/.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(log.f64 (pow.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (log.f64 (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (log1p.f64 x)))))

eval70.0ms (0.8%)

Memory
30.3MiB live, 74.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 18 211 to 2 340 computations (87.2% saved)

prune15.0ms (0.2%)

Memory
-18.6MiB live, 26.9MiB allocated; 5ms collecting garbage
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New4326438
Fresh000
Picked145
Done033
Total43313446
Accuracy
100.0%
Counts
446 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
5.4%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
6.1%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
4.2%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.5%
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
99.4%
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
24.1%
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
24.1%
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
100.0%
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
98.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
99.2%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
98.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
97.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 590 to 392 computations (33.6% saved)

simplify153.0ms (1.8%)

Memory
-14.1MiB live, 183.9MiB allocated; 25ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
cost-diff1
(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff2
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff15
(*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
cost-diff0
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64)))))
cost-diff0
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff1
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
cost-diff0
#s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff0
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
cost-diff0
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff1
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64))
cost-diff0
(log1p.f64 (*.f64 (neg.f64 x) x))
cost-diff0
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
cost-diff0
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
cost-diff4
(/.f64 (log1p.f64 x) (log1p.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0881058
01481034
12231034
23891021
39741021
43060976
57450976
08889968
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(log1p.f64 x)
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x)
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 1/4 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1 binary64)
#s(literal -1/2 binary64)
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
x
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x)
(-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
#s(literal 2 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
#s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(*.f64 x x)
#s(literal -1/3 binary64)
#s(literal 1/2 binary64)
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(log1p.f64 x)
(/.f64 (log1p.f64 x) (log1p.f64 x))
#s(literal 1 binary64)
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64)))))
#s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64))
(-.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x) #s(literal 1/4 binary64))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x)
(/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64))
(-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal -1/3 binary64)
#s(literal 1/4 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(-.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x)
(/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1 binary64)
#s(literal -1/2 binary64)
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
(/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
x
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x)
(*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x)
(-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(*.f64 x #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
#s(literal 2 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(/.f64 (log1p.f64 (neg.f64 x)) (-.f64 #s(approx (log (neg (- (* x x) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) x) x)) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 #s(approx (log (neg (- (* x x) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) x) x)) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
#s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (log (neg (- (* x x) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) x) x))
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) x) x)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(*.f64 x x)
#s(literal -1/3 binary64)
#s(literal 1/2 binary64)
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

localize751.0ms (8.8%)

Memory
26.3MiB live, 873.6MiB allocated; 171ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.171875
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
accuracy0.24728643295964053
#s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
accuracy58.4906881660151
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy58.4906881660151
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
accuracy0.3359375
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy0.33984375
(*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x)
accuracy0.5131122729103981
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy0.5149899163071745
#s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy0.3359375
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy0.5131122729103981
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy0.5149899163071745
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64)))))
accuracy47.45851240819538
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64)))
accuracy0.3359375
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy0.5131122729103981
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy0.5149899163071745
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
accuracy47.45851240819538
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy0.0
(neg.f64 x)
accuracy0.0
(log1p.f64 x)
accuracy0.01171875
(log1p.f64 (*.f64 (neg.f64 x) x))
accuracy31.121766437865844
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
Samples
336.0ms117×2valid
270.0ms134×1valid
27.0ms0valid
Compiler

Compiled 737 to 79 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 515.0ms
adjust: 162.0ms (31.5% of total)
ival-log: 118.0ms (22.9% of total)
ival-mult: 90.0ms (17.5% of total)
ival-sub: 44.0ms (8.5% of total)
ival-div: 43.0ms (8.3% of total)
ival-add: 22.0ms (4.3% of total)
const: 11.0ms (2.1% of total)
ival-neg: 7.0ms (1.4% of total)
ival-log1p: 7.0ms (1.4% of total)
ival-pow: 5.0ms (1% of total)
ival-pow2: 5.0ms (1% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
11.1MiB live, 56.8MiB allocated; 3ms collecting garbage
Counts
30 → 117
Calls
Call 1
Inputs
(/.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64))
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
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Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((/ (log (+ 1 x)) (log (+ 1 x))) (- (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x)))) (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 (* (neg x) x))) (+ (* (/ (+ (/ 1 x) 1/2) x) -1) -1/3) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (+ (* (/ 1 x) -1) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (* (/ x (+ (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 1)) (/ (- (pow (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 2) 1) 1)) (/ (- (pow (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 2) 1) 1) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (log (- 1 x)) (/ (log (- 1 x)) (- (log (neg (- (* x x) 1))) (log (neg (- x 1))))) (- 1 x) (- (log (neg (- (* x x) 1))) (log (neg (- x 1)))) (log (+ 1 x)) (neg x) (* (- (/ (+ (* (/ (+ (/ 1 x) 1/2) x) -1) -1/3) x) 1/4) (pow x 4)) (log (+ 1 x)) (* (+ (* -1/4 x) 1/3) x) (* (- (/ (/ (+ (* (/ 1 x) -1) -1/2) x) x) (+ 1/4 (/ 1/3 x))) (pow x 4)) (* (- (* x -1/4) 1/3) x) (log (neg (- x 1))) (log (neg (- (* x x) 1))) (* (* x x) -1/3))
5.0ms
x
@inf
((/ (log (+ 1 x)) (log (+ 1 x))) (- (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x)))) (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 (* (neg x) x))) (+ (* (/ (+ (/ 1 x) 1/2) x) -1) -1/3) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (+ (* (/ 1 x) -1) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (* (/ x (+ (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 1)) (/ (- (pow (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 2) 1) 1)) (/ (- (pow (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 2) 1) 1) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (log (- 1 x)) (/ (log (- 1 x)) (- (log (neg (- (* x x) 1))) (log (neg (- x 1))))) (- 1 x) (- (log (neg (- (* x x) 1))) (log (neg (- x 1)))) (log (+ 1 x)) (neg x) (* (- (/ (+ (* (/ (+ (/ 1 x) 1/2) x) -1) -1/3) x) 1/4) (pow x 4)) (log (+ 1 x)) (* (+ (* -1/4 x) 1/3) x) (* (- (/ (/ (+ (* (/ 1 x) -1) -1/2) x) x) (+ 1/4 (/ 1/3 x))) (pow x 4)) (* (- (* x -1/4) 1/3) x) (log (neg (- x 1))) (log (neg (- (* x x) 1))) (* (* x x) -1/3))
3.0ms
x
@0
((/ (log (+ 1 x)) (log (+ 1 x))) (- (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x)))) (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 (* (neg x) x))) (+ (* (/ (+ (/ 1 x) 1/2) x) -1) -1/3) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (+ (* (/ 1 x) -1) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (* (/ x (+ (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 1)) (/ (- (pow (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 2) 1) 1)) (/ (- (pow (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 2) 1) 1) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (log (- 1 x)) (/ (log (- 1 x)) (- (log (neg (- (* x x) 1))) (log (neg (- x 1))))) (- 1 x) (- (log (neg (- (* x x) 1))) (log (neg (- x 1)))) (log (+ 1 x)) (neg x) (* (- (/ (+ (* (/ (+ (/ 1 x) 1/2) x) -1) -1/3) x) 1/4) (pow x 4)) (log (+ 1 x)) (* (+ (* -1/4 x) 1/3) x) (* (- (/ (/ (+ (* (/ 1 x) -1) -1/2) x) x) (+ 1/4 (/ 1/3 x))) (pow x 4)) (* (- (* x -1/4) 1/3) x) (log (neg (- x 1))) (log (neg (- (* x x) 1))) (* (* x x) -1/3))

simplify139.0ms (1.6%)

Memory
-7.1MiB live, 186.9MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05494017
117873280
273673118
082053049
Stop Event
iter limit
node limit
Counts
117 → 116
Calls
Call 1
Inputs
1
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
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(/ -1 (pow x 2))
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rewrite234.0ms (2.8%)

Memory
3.2MiB live, 231.2MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088632
0148611
1554558
23645550
010870547
Stop Event
iter limit
node limit
iter limit
Counts
30 → 242
Calls
Call 1
Inputs
(/.f64 (log1p.f64 x) (log1p.f64 x))
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(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
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(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(log1p.f64 x)
(neg.f64 x)
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x)
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
Outputs
#s(literal 1 binary64)
(/.f64 (/.f64 (*.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) (log1p.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (log1p.f64 x)))
(/.f64 (*.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) (pow.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (neg.f64 (log1p.f64 x)))
(/.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (log1p.f64 x))))
(/.f64 (neg.f64 (log1p.f64 (*.f64 (neg.f64 x) x))) (neg.f64 (log1p.f64 x)))
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 (neg.f64 x) x))) (log1p.f64 x)))
(neg.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log1p.f64 x))))
(log1p.f64 (*.f64 (neg.f64 x) x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (log1p.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (log.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (log1p.f64 (*.f64 x x)))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64))) (log.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64))) (log1p.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))))
(log.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64))) #s(literal -1/27 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64))) (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1/3 binary64)))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1/3 binary64))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1/3 binary64))))
(-.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64)))
(-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)))
(+.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/27 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x))
(/.f64 (neg.f64 (neg.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64))))))) (neg.f64 (neg.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))))
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(+.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 #s(literal -1/4 binary64) x)))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) x)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) x)) (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x) x)) (/.f64 (pow.f64 (-.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x)
(*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64))) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (log.f64 (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log1p.f64 x))
(log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
#s(approx (log (neg (- (* x x) 1))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1/3 binary64)))
(*.f64 x (*.f64 #s(literal -1/3 binary64) x))

eval91.0ms (1.1%)

Memory
12.3MiB live, 118.1MiB allocated; 35ms collecting garbage
Compiler

Compiled 23 487 to 2 213 computations (90.6% saved)

prune43.0ms (0.5%)

Memory
-15.9MiB live, 29.8MiB allocated; 6ms collecting garbage
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New4442446
Fresh101
Picked505
Done077
Total4509459
Accuracy
100.0%
Counts
459 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.1%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
4.2%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.5%
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (pow (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 2) 1) 1) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
99.4%
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
100.0%
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
98.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
99.2%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
98.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
97.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 729 to 304 computations (58.3% saved)

regimes10.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (pow (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 2) 1) 1) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (log (neg (- (* x x) 1))) (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
Outputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
100.0%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (pow (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 2) 1) 1) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) #s(approx (* (- (* (- (* (- (* -1/4 x) 1/3) x) 1/2) x) 1) x) (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) (pow.f64 x #s(literal 4 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (pow (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 2) 1) 1) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.5%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes9.0ms (0.1%)

Memory
-35.3MiB live, 9.5MiB allocated; 6ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
Outputs
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
Calls

2 calls:

7.0ms
x
2.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.4%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.4%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.2%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.2%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
98.9%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
98.9%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
98.5%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
98.5%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
97.9%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
97.9%1x
Compiler

Compiled 10 to 8 computations (20% saved)

simplify59.0ms (0.7%)

Memory
-28.1MiB live, 27.4MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076184
1111184
2156184
3241184
4447184
51152184
62079184
73605184
87478184
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (pow (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 2) 1) 1) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Outputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) #s(approx (/ (- (pow (* (- (* (- (* x -1/4) 1/3) x) 1/2) x) 2) 1) 1) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 13/36 binary64) x #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) x) x) #s(literal 1 binary64))))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

derivations774.0ms (9.1%)

Memory
51.5MiB live, 560.2MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046208
079197
1249197
21680197
08297195
0723
01223
13623
219323
3170923
01071415
02661326
18391185
230511117
084181098
02171077
1681941
22315857
08506847
05494017
117873280
273673118
082053049
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 194 to 80 computations (58.8% saved)

preprocess168.0ms (2%)

Memory
-50.1MiB live, 69.8MiB allocated; 44ms collecting garbage
Compiler

Compiled 418 to 184 computations (56% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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