qlog (example 3.10)

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze4.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample2.0s (67%)

Memory
31.7MiB live, 3 761.5MiB allocated; 125ms collecting garbage
Samples
1.0s3 339×2valid
669.0ms4 729×1valid
10.0ms188×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-log: 1.0s (70.4% of total)
adjust: 193.0ms (13.5% of total)
ival-div!: 110.0ms (7.7% of total)
ival-sub!: 63.0ms (4.4% of total)
ival-log1p: 57.0ms (4% of total)
Bogosity

explain184.0ms (6.2%)

Memory
9.0MiB live, 396.9MiB allocated; 6ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(log.f64 (+.f64 #s(literal 1 binary64) x))
2550-0-(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))sensitivity2550
log.f64(log.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2550
Confusion
Predicted +Predicted -
+2500
-51
Precision
0.9803921568627451
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25000
-501
Precision?
0.9803921568627451
Recall?
1.0
Freqs
test
numberfreq
01
2255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms198×2valid
50.0ms304×1valid
1.0ms10×0valid
Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-log: 65.0ms (65% of total)
adjust: 17.0ms (17% of total)
ival-div!: 7.0ms (7% of total)
ival-log1p: 4.0ms (4% of total)
ival-add!: 4.0ms (4% of total)
ival-sub!: 3.0ms (3% of total)

preprocess69.0ms (2.3%)

Memory
-42.1MiB live, 54.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01432
12232
22532
34328
49428
532528
6269028
7618328
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series8.0ms (0.3%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Counts
7 → 46
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
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 -1))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (* x (- (* -1/2 x) 1)) 1)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)))
#s(approx (log (- 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* x (- (* -1/3 x) 1/2)) 1))))
#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (+ (* -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))))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (+ (* -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)))))))))))
#s(approx (log (- 1 x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 x))))))
#s(approx (log (- 1 x)) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))))
#s(approx (log (- 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))))
#s(approx (log (- 1 x)) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (+ (* -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)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (+ (* -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)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (+ (* -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)))))
#s(approx (log (- 1 x)) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (- 1 x)) #s(hole binary64 (- (* -1 (log (/ -1 x))) (/ 1 x))))
#s(approx (log (- 1 x)) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))))
#s(approx (log (- 1 x)) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
Calls

3 calls:

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

rewrite193.0ms (6.6%)

Memory
6.9MiB live, 285.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02721556
02781383
117871274
0100411202
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
53 → 74
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)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 -1))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (* x (- (* -1/2 x) 1)) 1)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)))
#s(approx (log (- 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* x (- (* -1/3 x) 1/2)) 1))))
#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 x))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (+ (* -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))))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (+ (* -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)))))))))))
#s(approx (log (- 1 x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ 1 x))))))
#s(approx (log (- 1 x)) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))))
#s(approx (log (- 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))))
#s(approx (log (- 1 x)) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (log (+ 1 x)) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (+ (* -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)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (+ (* -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)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (+ (* -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)))))
#s(approx (log (- 1 x)) #s(hole binary64 (* -1 (log (/ -1 x)))))
#s(approx (log (- 1 x)) #s(hole binary64 (- (* -1 (log (/ -1 x))) (/ 1 x))))
#s(approx (log (- 1 x)) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))))
#s(approx (log (- 1 x)) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary64 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
Outputs
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (log1p.f64 x))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (log1p.f64 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (log1p.f64 (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x))
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#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))))))) (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))) (*.f64 x (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))))) (*.f64 x (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))))) x) #s(literal -1 binary64) (-.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))) x) #s(literal -1 binary64) (/.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (log (- 1 x)) (log.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
#s(approx (log (- 1 x)) (-.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))))
#s(approx (log (- 1 x)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64))))
#s(approx (log (- 1 x)) (fma.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) x) #s(literal -1 binary64) (log.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (- 1 x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (log (+ 1 x)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (+.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (+.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (log.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 x)) (+.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (log.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))

eval8.0ms (0.3%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 981 to 426 computations (85.7% saved)

prune3.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New75277
Fresh000
Picked101
Done000
Total76278
Accuracy
100.0%
Counts
78 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.6%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
▶99.5%
#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)))
Compiler

Compiled 38 to 26 computations (31.6% saved)

series11.0ms (0.4%)

Memory
-30.2MiB live, 16.9MiB allocated; 1ms collecting garbage
Counts
18 → 95
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)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 -1))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (* x (- (* -1/2 x) 1)) 1)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) #s(hole binary64 -1))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) #s(hole binary64 (- (* x (- (* -1/2 x) 1)) 1)))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) #s(hole binary64 (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)))
#s(approx (* (- (* (- (* -5/12 x) 1/2) x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (* (- (* -5/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (* (- (* (- (* -5/12 x) 1/2) x) 1) x) #s(hole binary64 (* x (- (* x (- (* -5/12 x) 1/2)) 1))))
#s(approx (- (* (- (* -5/12 x) 1/2) x) 1) #s(hole binary64 -1))
#s(approx (- (* (- (* -5/12 x) 1/2) x) 1) #s(hole binary64 (- (* -1/2 x) 1)))
#s(approx (- (* (- (* -5/12 x) 1/2) x) 1) #s(hole binary64 (- (* x (- (* -5/12 x) 1/2)) 1)))
#s(approx (* (- (* -5/12 x) 1/2) x) #s(hole binary64 (* -1/2 x)))
#s(approx (* (- (* -5/12 x) 1/2) x) #s(hole binary64 (* x (- (* -5/12 x) 1/2))))
#s(approx (- (* -5/12 x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* -5/12 x) 1/2) #s(hole binary64 (- (* -5/12 x) 1/2)))
#s(approx (* -5/12 x) #s(hole binary64 (* -5/12 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (log (- 1 x)) (log (/ (- 1 (* x x)) (- 1 x)))) #s(hole binary64 -1))
#s(approx (/ (log (- 1 x)) (log (/ (- 1 (* x x)) (- 1 x)))) #s(hole binary64 (- (* -1 x) 1)))
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#s(approx (* (- (* (- (* -5/12 x) 1/2) x) 1) x) #s(hole binary64 (* -5/12 (pow x 3))))
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#s(approx (log (- 1 x)) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))))
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#s(approx (log (- 1 x)) #s(hole binary64 (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))))
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#s(approx (log (/ (- 1 (* x x)) (- 1 x))) #s(hole binary64 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (/ (- 1 (* x x)) (- 1 x)) #s(hole binary64 x))
#s(approx (/ (- 1 (* x x)) (- 1 x)) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 (* x x)) #s(hole binary64 (* -1 (pow x 2))))
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#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(hole binary64 (+ (* -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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Calls

3 calls:

TimeVariablePointExpression
5.0ms
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) (* (- (* -5/12 x) 1/2) x) (- (* -5/12 x) 1/2) (* -5/12 x) -5/12 x 1/2 1 (/ (log (- 1 x)) (log (/ (- 1 (* x x)) (- 1 x)))) (log (- 1 x)) (- 1 x) (log (/ (- 1 (* x x)) (- 1 x))) (/ (- 1 (* x x)) (- 1 x)) (- 1 (* x x)) (* x x))
2.0ms
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) (* (- (* -5/12 x) 1/2) x) (- (* -5/12 x) 1/2) (* -5/12 x) -5/12 x 1/2 1 (/ (log (- 1 x)) (log (/ (- 1 (* x x)) (- 1 x)))) (log (- 1 x)) (- 1 x) (log (/ (- 1 (* x x)) (- 1 x))) (/ (- 1 (* x x)) (- 1 x)) (- 1 (* x x)) (* x 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) (* (- (* -5/12 x) 1/2) x) (- (* -5/12 x) 1/2) (* -5/12 x) -5/12 x 1/2 1 (/ (log (- 1 x)) (log (/ (- 1 (* x x)) (- 1 x)))) (log (- 1 x)) (- 1 x) (log (/ (- 1 (* x x)) (- 1 x))) (/ (- 1 (* x x)) (- 1 x)) (- 1 (* x x)) (* x x))

rewrite156.0ms (5.3%)

Memory
-7.6MiB live, 241.3MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03763531
03993008
121772820
082132710
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
113 → 175
Calls
Call 1
Inputs
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(-.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)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
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Outputs
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#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal -1 binary64) (fma.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal 1/3 binary64) (fma.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))))))) (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))) (*.f64 x (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))))) (*.f64 x (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))))) x) #s(literal -1 binary64) (-.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))) x) #s(literal -1 binary64) (/.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (log (- 1 x)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
#s(approx (log (- 1 x)) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))))
#s(approx (log (- 1 x)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64))))
#s(approx (log (- 1 x)) (fma.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1 binary64)) x) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
#s(approx (- 1 x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (log (/ (- 1 (* x x)) (- 1 x))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (/ (- 1 (* x x)) (- 1 x))) (+.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (/ (- 1 (* x x)) (- 1 x))) (+.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (/ (- 1 (* x x)) (- 1 x))) (+.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))

eval21.0ms (0.7%)

Memory
-2.7MiB live, 44.2MiB allocated; 2ms collecting garbage
Compiler

Compiled 6 651 to 909 computations (86.3% saved)

prune98.0ms (3.3%)

Memory
3.5MiB live, 195.5MiB allocated; 4ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1891190
Fresh000
Picked112
Done000
Total1902192
Accuracy
100.0%
Counts
192 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.5%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) x)) (log.f64 (-.f64 #s(literal 1 binary64) x))))
✓99.5%
#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)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

series11.0ms (0.4%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Counts
10 → 56
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) 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
(-.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) x))
(*.f64 (*.f64 #s(literal -1 binary64) x) x)
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
Outputs
#s(approx (/ (log (- 1 x)) (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x)))) #s(hole binary64 -1))
#s(approx (/ (log (- 1 x)) (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x)))) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ (log (- 1 x)) (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x)))) #s(hole binary64 (- (* x (- (* -1/2 x) 1)) 1)))
#s(approx (/ (log (- 1 x)) (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x)))) #s(hole binary64 (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)))
#s(approx (log (- 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* -1/2 x) 1))))
#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* x (- (* -1/3 x) 1/2)) 1))))
#s(approx (log (- 1 x)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x))) #s(hole binary64 x))
#s(approx (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x))) #s(hole binary64 (* x (+ 1 (* -1/2 x)))))
#s(approx (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x))) #s(hole binary64 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x))) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (log (+ 1 (* (* -1 x) x))) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (log (+ 1 (* (* -1 x) x))) #s(hole binary64 (* (pow x 2) (- (* -1/2 (pow x 2)) 1))))
#s(approx (log (+ 1 (* (* -1 x) x))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))))
#s(approx (log (+ 1 (* (* -1 x) x))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))))
#s(approx (* (* -1 x) x) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (* -1 x) #s(hole binary64 (* -1 x)))
#s(approx (/ (log (- 1 x)) (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x)))) #s(hole binary64 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))))
#s(approx (/ (log (- 1 x)) (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x)))) #s(hole binary64 (+ (* -1 (/ (log (/ 1 x)) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))) (+ (* -1 (/ (+ (* -1 (/ (log (/ 1 x)) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2))) (+ (/ 1 (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (/ (log -1) (pow (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)))) x)) (/ (log -1) (- (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))))))
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Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((/ (log (- 1 x)) (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x)))) (log (- 1 x)) (- 1 x) 1 x (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x))) (log (+ 1 (* (* -1 x) x))) (* (* -1 x) x) (* -1 x) -1)
3.0ms
x
@-inf
((/ (log (- 1 x)) (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x)))) (log (- 1 x)) (- 1 x) 1 x (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x))) (log (+ 1 (* (* -1 x) x))) (* (* -1 x) x) (* -1 x) -1)
2.0ms
x
@0
((/ (log (- 1 x)) (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x)))) (log (- 1 x)) (- 1 x) 1 x (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x))) (log (+ 1 (* (* -1 x) x))) (* (* -1 x) x) (* -1 x) -1)

rewrite151.0ms (5.1%)

Memory
15.4MiB live, 202.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03452762
03572166
123981781
082571760
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
66 → 83
Calls
Call 1
Inputs
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(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
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(log1p.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) x))
(*.f64 (*.f64 #s(literal -1 binary64) x) x)
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#s(approx (log (- 1 x)) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))))
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Outputs
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))))
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(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x))
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(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
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#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x))) x)
#s(approx (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (- (log (+ 1 (* (* -1 x) x))) (log (- 1 x))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
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#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x))
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#s(approx (log (+ 1 (* (* -1 x) x))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 (* (* -1 x) x))) (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (log (+ 1 (* (* -1 x) x))) (+.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 x x))))
#s(approx (log (+ 1 (* (* -1 x) x))) (-.f64 (+.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))))

eval13.0ms (0.4%)

Memory
-24.0MiB live, 23.0MiB allocated; 2ms collecting garbage
Compiler

Compiled 4 464 to 549 computations (87.7% saved)

prune6.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done011
Total1132115
Accuracy
100.0%
Counts
115 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓6.5%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) x)) (log.f64 (-.f64 #s(literal 1 binary64) x))))
✓99.5%
#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)))
Compiler

Compiled 102 to 60 computations (41.2% saved)

regimes4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Accuracy

Total -61.4b remaining (-21147.7%)

Threshold costs -61.4b (-21147.7%)

Counts
4 → 1
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 (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)) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -1 binary64) x) x)) (log.f64 (-.f64 #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)))
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
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)

derivations25.0ms (0.8%)

Memory
-39.6MiB live, 8.3MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 23 to 17 computations (26.1% saved)

preprocess9.0ms (0.3%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 64 to 48 computations (25% saved)

end0.0ms (0%)

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

Profiling

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