qlog (example 3.10)

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze21.0ms (0.4%)

Memory
-8.1MiB live, 43.0MiB allocated
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)

sample2.2s (39%)

Memory
29.1MiB live, 2 178.0MiB allocated
Samples
1.0s3 075×2valid
885.0ms4 815×1valid
25.0ms366×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-log: 985.0ms (59.4% of total)
adjust: 197.0ms (11.9% of total)
ival-div: 171.0ms (10.3% of total)
ival-sub: 139.0ms (8.4% of total)
ival-log1p: 68.0ms (4.1% of total)
ival-fabs: 65.0ms (3.9% of total)
ival-<=: 24.0ms (1.4% of total)
exact: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain191.0ms (3.3%)

Memory
7.0MiB live, 129.4MiB allocated
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))sensitivity2541
log.f64(log.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2541
Confusion
Predicted +Predicted -
+2470
-72
Precision
0.9724409448818898
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+24700
-711
Precision?
0.9686274509803922
Recall?
1.0
Freqs
test
numberfreq
02
2254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
71.0ms206×2valid
50.0ms278×1valid
2.0ms28×0valid
Compiler

Compiled 88 to 32 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-log: 62.0ms (62.2% of total)
adjust: 14.0ms (14.1% of total)
ival-div: 9.0ms (9% of total)
ival-sub: 7.0ms (7% of total)
ival-log1p: 4.0ms (4% of total)
ival-add: 3.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess35.0ms (0.6%)

Memory
-17.3MiB live, 20.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12419
24419
38719
414919
527219
644919
747719
853619
955919
1056019
079
0129
1179
2219
3299
4429
5729
6959
71279
81419
91579
101609
01606
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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.0%
(/.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)

simplify9.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.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-diff1
(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
11725
22125
32925
44225
57225
69525
712725
814125
915725
1016025
016019
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 (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
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))

localize77.0ms (1.3%)

Memory
-0.5MiB live, 40.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy0.03125
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy58.29581062391955
(log.f64 (+.f64 #s(literal 1 binary64) x))
accuracy58.34918851823003
(log.f64 (-.f64 #s(literal 1 binary64) x))
Samples
35.0ms103×2valid
32.0ms139×1valid
1.0ms14×0valid
Compiler

Compiled 52 to 16 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-log: 31.0ms (54.2% of total)
ival-sub: 11.0ms (19.2% of total)
adjust: 8.0ms (14% of total)
ival-div: 4.0ms (7% of total)
ival-log1p: 2.0ms (3.5% of total)
ival-add: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
5 → 42
Calls
Call 1
Inputs
(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 #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 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 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 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)))
(+ (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 (/ (+ (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)))))))))
(* 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)))
(- (* -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 (/ (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 (* x (- 1 (/ 1 x))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
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))

simplify147.0ms (2.6%)

Memory
10.9MiB live, 116.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171070
1723929
22725859
08730835
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 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 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 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)))
(+ (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 (/ (+ (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)))))))))
(* 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)))
(- (* -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 (/ (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 (* 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 (fma.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 (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)
(* -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 (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.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 (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)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.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)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(-.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) 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 x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) (log.f64 #s(literal -1 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
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(- (+ (* -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))))))
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(* x (- (/ 1 x) 1))
(-.f64 #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 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #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 (/ (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)))
(-.f64 (/.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)))) (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)) (+ (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)))
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(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite160.0ms (2.8%)

Memory
14.5MiB live, 141.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01223
14223
225223
3238823
0984315
Stop Event
iter limit
node limit
iter limit
Counts
5 → 779
Calls
Call 1
Inputs
(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 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log1p.f64 x) #s(literal 1 binary64))
(log1p.f64 (neg.f64 (neg.f64 x)))
(log1p.f64 (neg.f64 x))
(log1p.f64 x)
(/.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))) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))
(/.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))) (+.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 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))))
(/.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64))
(/.f64 (log1p.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log1p.f64 x)))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 x x x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (log1p.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 x) #s(literal 0 binary64))
(-.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (log1p.f64 (*.f64 x x)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))) (log1p.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) (log1p.f64 (neg.f64 (fma.f64 x x x))))
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
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(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) x))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 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)))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.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)))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) (/.f64 x (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)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 (*.f64 x x) (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)))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.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)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(fma.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.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 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) x))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)))
(+.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 #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 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))

eval54.0ms (1%)

Memory
-18.6MiB live, 64.4MiB allocated
Compiler

Compiled 11 645 to 1 770 computations (84.8% saved)

prune11.0ms (0.2%)

Memory
25.4MiB live, 25.4MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4448452
Fresh000
Picked011
Done000
Total4449453
Accuracy
100.0%
Counts
453 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.6%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
5.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
6.2%
(/.f64 (log.f64 (-.f64 #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)))
5.2%
(/.f64 #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)))
100.0%
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
99.6%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
99.5%
#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)))
99.2%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
97.7%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 261 to 191 computations (26.8% saved)

simplify138.0ms (2.4%)

Memory
-26.1MiB live, 51.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
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
(*.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)
cost-diff0
#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))
cost-diff0
(/.f64 #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)))
cost-diff2
(log.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
cost-diff0
#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)))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 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
033179
059171
190171
2167171
3579171
42022171
53658171
64850171
75367171
86455171
97806171
08225165
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))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#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)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
#s(literal -1/2 binary64)
x
#s(literal -1 binary64)
(/.f64 #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)))
#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 (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 (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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#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)
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)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#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)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
#s(literal -1/2 binary64)
x
#s(literal -1 binary64)
(/.f64 #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)))
(/.f64 #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)) (log1p.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))
(*.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 (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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 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)

localize175.0ms (3.1%)

Memory
28.9MiB live, 109.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0
(log1p.f64 x)
accuracy0.03125
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
accuracy58.34918851823003
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.0234375
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
accuracy0.03125
(/.f64 #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)))
accuracy0.2763498140888614
#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))
accuracy58.29581062391955
(log.f64 (+.f64 #s(literal 1 binary64) x))
accuracy0.0
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
accuracy0.0
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
accuracy0.34546590130524685
#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)))
accuracy1.4484041234352236
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
accuracy0.0
(neg.f64 x)
accuracy0.0
(log1p.f64 x)
accuracy0.00390625
(log1p.f64 (*.f64 (neg.f64 x) x))
accuracy30.23090350382517
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
Samples
79.0ms103×2valid
68.0ms139×1valid
3.0ms14×0valid
Compiler

Compiled 376 to 64 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-log: 36.0ms (29.8% of total)
adjust: 27.0ms (22.4% of total)
ival-mult: 17.0ms (14.1% of total)
ival-div: 10.0ms (8.3% of total)
ival-add: 10.0ms (8.3% of total)
const: 7.0ms (5.8% of total)
ival-log1p: 6.0ms (5% of total)
ival-sub: 5.0ms (4.1% of total)
ival-neg: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
-27.2MiB live, 11.0MiB allocated
Counts
18 → 85
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))
#s(approx (/ (log (- 1 x)) (log (+ 1 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)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 #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)))
#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 (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))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) x)
(log1p.f64 x)
(neg.f64 x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
Outputs
1
-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))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* -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))
(- (* -1/2 x) 1)
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))))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ 1 (* -1 x))
-1/3
(- (* -1/4 x) 1/3)
(- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 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) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 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)))
(* -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)))))))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 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)))
(+ (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 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* x (- (/ 1 x) 1))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
(+ (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)))
(* -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)))
(+ (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)))
(- (* -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 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(* -1 (* x (- 1 (/ 1 x))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
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))) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (log (+ 1 x)) (/ (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)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (neg x) (+ (* -1/4 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))) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (log (+ 1 x)) (/ (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)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (neg x) (+ (* -1/4 x) -1/3))
4.0ms
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))) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (log (+ 1 x)) (/ (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)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (neg x) (+ (* -1/4 x) -1/3))

simplify163.0ms (2.9%)

Memory
32.5MiB live, 146.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03792824
112772472
251082349
084322268
Stop Event
iter limit
node limit
Counts
85 → 84
Calls
Call 1
Inputs
1
-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))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* -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))
(- (* -1/2 x) 1)
x
(* x (+ 1 (* -1/2 x)))
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(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
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(+ 1 (* -1 x))
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(* -1/2 (pow x 2))
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(+ (log -1) (* -1 (log (/ 1 x))))
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(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
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(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
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(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
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(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
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(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
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Outputs
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(- (* x (- (* -1/2 x) 1)) 1)
(fma.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)
(fma.f64 (fma.f64 (fma.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 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -7/24 binary64) x #s(literal -5/12 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) x)
(- (* -1/2 x) 1)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
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 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
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(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
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(*.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)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 x) 1/3)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)
(-.f64 (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 x)) #s(literal 1 binary64))
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(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.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))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 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 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))

rewrite245.0ms (4.3%)

Memory
-62.3MiB live, 183.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033140
059135
1219129
21504129
08482122
Stop Event
iter limit
node limit
iter limit
Counts
18 → 607
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))
#s(approx (/ (log (- 1 x)) (log (+ 1 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)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 #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)))
#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 (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))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) x)
(log1p.f64 x)
(neg.f64 x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
Outputs
#s(literal 1 binary64)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (fabs.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (fabs.f64 (log1p.f64 x))))
(*.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal -1 binary64)) (log1p.f64 (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -3 binary64)) #s(literal 1 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 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(*.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (pow.f64 (log1p.f64 x) #s(literal -2 binary64)))
(*.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (log1p.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))) (/.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) #s(literal -1 binary64)) (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 x) (log1p.f64 (*.f64 (neg.f64 x) 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 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) 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 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) 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 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) 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 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)))) (fma.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64))) #s(literal -1 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 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) 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 x) (log1p.f64 (*.f64 (neg.f64 x) 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 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64))) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (log1p.f64 x))) (neg.f64 (log1p.f64 x)))
(/.f64 (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 (log1p.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (neg.f64 (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))) (+.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 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) 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 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))) (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (log1p.f64 x) #s(literal 4 binary64)))
(/.f64 (/.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (log1p.f64 x))
(/.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) 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 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) 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 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) 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 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) 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 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) 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 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64))))
(/.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(/.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(fma.f64 (/.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 (*.f64 (neg.f64 x) x))) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))))
(fma.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)) (-.f64 #s(literal 1/9 binary64) (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 x) #s(literal -1/4 binary64)))
(+.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #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 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 3 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 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 3 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 #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 (pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))

eval86.0ms (1.5%)

Memory
-12.7MiB live, 106.0MiB allocated
Compiler

Compiled 17 668 to 2 384 computations (86.5% saved)

prune8.0ms (0.1%)

Memory
26.7MiB live, 26.7MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5542556
Fresh123
Picked325
Done011
Total5587565
Accuracy
100.0%
Counts
565 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
5.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.6%
(/.f64 #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 (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)))
99.6%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
99.5%
#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)))
99.2%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
97.7%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 111 to 80 computations (27.9% saved)

simplify174.0ms (3%)

Memory
11.6MiB live, 121.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 x)
cost-diff0
(neg.f64 x)
cost-diff0
(log1p.f64 (neg.f64 x))
cost-diff0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
cost-diff0
(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))
cost-diff0
(*.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)
cost-diff0
#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))
cost-diff0
(/.f64 #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 (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)))
cost-diff0
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.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))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034211
061207
188207
2200207
3701207
42388207
55126207
66276207
77077207
87374207
97690207
107842207
08049207
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
x
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 #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 (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 (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 (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 (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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#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 (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 (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 (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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)
Outputs
#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))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
x
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 #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 (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 (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 (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 (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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#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 (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 (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 (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))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)

localize284.0ms (5%)

Memory
-38.2MiB live, 167.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.0
(log1p.f64 (neg.f64 x))
accuracy0.0
(log1p.f64 x)
accuracy0.03125
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
accuracy0.0234375
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
accuracy0.03125
(/.f64 #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 (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)))
accuracy0.2747156528948391
#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))
accuracy0.2763498140888614
#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))
accuracy0.0
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
accuracy0.0
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
accuracy0.0
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
accuracy0.278974975125977
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
accuracy0.0
(-.f64 #s(literal -1 binary64) x)
accuracy0.4998791544234218
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
Samples
125.0ms103×2valid
81.0ms139×1valid
19.0ms14×0valid
Compiler

Compiled 405 to 72 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-mult: 39.0ms (25.6% of total)
ival-log: 32.0ms (21% of total)
adjust: 25.0ms (16.4% of total)
const: 23.0ms (15.1% of total)
ival-add: 16.0ms (10.5% of total)
ival-div: 6.0ms (3.9% of total)
ival-sub: 5.0ms (3.3% of total)
ival-log1p: 3.0ms (2% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
16 → 69
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
(/.f64 #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 (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 (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 (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 (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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(log1p.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))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
Outputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
-1/2
(- (* -5/12 x) 1/2)
(* -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))
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
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))))
-1/3
(- (* -1/4 x) 1/3)
(* -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)))))))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -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))
(* -5/12 x)
(* -1 (* x (+ 5/12 (* 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 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 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)))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 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 (* (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 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) 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
2.0ms
x
@-inf
((/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (log (+ 1 x)) (+ (* -1/4 x) -1/3))
2.0ms
x
@inf
((/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (log (+ 1 x)) (+ (* -1/4 x) -1/3))
1.0ms
x
@0
((/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (log (+ 1 x)) (+ (* -1/4 x) -1/3))

simplify166.0ms (2.9%)

Memory
30.1MiB live, 142.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02821383
19711224
239231149
082581112
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)
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
-1/2
(- (* -5/12 x) 1/2)
(* -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))
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
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))))
-1/3
(- (* -1/4 x) 1/3)
(* -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)))))))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -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))
(* -5/12 x)
(* -1 (* x (+ 5/12 (* 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 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 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)))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 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 (* (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 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) 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)
(fma.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)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(- (* -1/2 x) 1)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* -5/12 x) 1/2)
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 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 (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.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 (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)
(- (* x (- (* -1/3 x) 1/2)) 1)
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(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
(* 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 (fma.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 (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)
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 x) 1/3)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))) (neg.f64 (log.f64 x))) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (*.f64 (log.f64 x) (log.f64 x))))
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rewrite225.0ms (3.9%)

Memory
-28.1MiB live, 182.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034157
061154
1242154
21846147
08297147
Stop Event
iter limit
node limit
iter limit
Counts
16 → 369
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
(/.f64 #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 (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 (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 (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 (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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(log1p.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))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x 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 #s(literal -1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x))))))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (neg.f64 x))
(-.f64 #s(literal -1 binary64) x)
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x))))))
(+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.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 (neg.f64 x) x) (-.f64 #s(literal -1 binary64) x)))
(+.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 (neg.f64 (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 x))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.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)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (fma.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)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (fma.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)) (pow.f64 (fma.f64 (fma.f64 (fma.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)) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.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))))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x)))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x)))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x))))) (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
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(fma.f64 (/.f64 x (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/4 binary64) x)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(fma.f64 (/.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/4 binary64) x)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) x) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) x) (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 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 #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 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 x) #s(literal -1/4 binary64)))
(+.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #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 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 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 #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 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))

eval63.0ms (1.1%)

Memory
13.2MiB live, 88.1MiB allocated
Compiler

Compiled 17 180 to 2 058 computations (88% saved)

prune8.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New4110411
Fresh000
Picked044
Done033
Total4117418
Accuracy
100.0%
Counts
418 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
5.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.6%
(/.f64 #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 (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)))
99.6%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
99.5%
#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)))
99.2%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
97.7%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 287 to 132 computations (54% saved)

regimes39.0ms (0.7%)

Memory
-32.4MiB live, 7.0MiB allocated
Counts
11 → 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))) (fma.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 (fma.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 (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 (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 #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)))
(/.f64 (log.f64 (-.f64 #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 (log1p.f64 (neg.f64 x)) (log1p.f64 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)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
Outputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
Calls

2 calls:

35.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
10 → 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))) (fma.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 (fma.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 (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 (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 #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)))
(/.f64 (log.f64 (-.f64 #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 (log1p.f64 (neg.f64 x)) (log1p.f64 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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

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

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated
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))) (fma.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 (fma.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 (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 (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 #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)))
(/.f64 (log.f64 (-.f64 #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)))
Outputs
(/.f64 #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 (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)))
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
99.6%1x
99.6%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
4 → 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))) (fma.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 (fma.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))) (fma.f64 (fma.f64 (fma.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
99.6%1x
99.6%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
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))) (fma.f64 (fma.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))) (fma.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
99.5%1x
99.5%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
2 → 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))
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
99.2%1x
99.2%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
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
97.7%1x
97.7%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify74.0ms (1.3%)

Memory
-26.2MiB live, 53.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043112
157112
268112
385112
4110112
5147112
6271112
7898112
81971112
95545112
Stop Event
node 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 (neg.f64 x)) (log1p.f64 x))
(/.f64 #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 (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)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.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))) (fma.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)) (/.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 (neg.f64 x)) (log1p.f64 x))
(/.f64 #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 (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)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.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))) (fma.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))

soundness831.0ms (14.6%)

Memory
1.2MiB live, 320.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171070
1723929
22725859
08730835
0723
01223
14223
225223
3238823
0984315
033140
059135
1219129
21504129
08482122
03792824
112772472
251082349
084322268
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 201 to 105 computations (47.8% saved)

preprocess45.0ms (0.8%)

Memory
22.8MiB live, 60.6MiB allocated
Compiler

Compiled 254 to 110 computations (56.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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