qlog (example 3.10)

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB 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)

sample2.6s (39%)

Memory
17.0MiB live, 2 129.4MiB allocated
Samples
1.2s3 028×2valid
977.0ms4 892×1valid
26.0ms336×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-log: 1.1s (58.4% of total)
ival-div: 230.0ms (12.3% of total)
adjust: 187.0ms (10% of total)
ival-sub: 187.0ms (10% of total)
ival-fabs: 86.0ms (4.6% of total)
ival-log1p: 53.0ms (2.8% of total)
ival-<=: 25.0ms (1.3% of total)
exact: 7.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain226.0ms (3.4%)

Memory
-4.9MiB live, 277.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(log.f64 (+.f64 #s(literal 1 binary64) x))
2560-0-(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))sensitivity2560
log.f64(log.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2560
Confusion
Predicted +Predicted -
+2450
-110
Precision
0.95703125
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+24500
-1100
Precision?
0.95703125
Recall?
1.0
Freqs
test
numberfreq
2256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
90.0ms316×1valid
67.0ms168×2valid
2.0ms28×0valid
Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-log: 66.0ms (62.1% of total)
adjust: 14.0ms (13.2% of total)
ival-div: 9.0ms (8.5% of total)
ival-add: 7.0ms (6.6% of total)
ival-sub: 7.0ms (6.6% of total)
ival-log1p: 3.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory
29.4MiB live, 29.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0%)

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

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize106.0ms (1.6%)

Memory
-9.0MiB live, 93.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy0.03515625
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy58.391753846960086
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy58.430674573281074
(log.f64 (+.f64 #s(literal 1 binary64) x))
Samples
66.0ms84×2valid
31.0ms158×1valid
1.0ms14×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-sub: 40.0ms (46% of total)
ival-log: 31.0ms (35.7% of total)
adjust: 7.0ms (8.1% of total)
ival-div: 4.0ms (4.6% of total)
ival-log1p: 2.0ms (2.3% of total)
ival-add: 1.0ms (1.2% of total)
ival-assert: 1.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
5 → 42
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
Outputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
1
(+ 1 (* -1 x))
(+ 1 x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* x (- (/ 1 x) 1))
(* x (+ 1 (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 (* x (- 1 (/ 1 x))))
Calls

3 calls:

TimeVariablePointExpression
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))

simplify245.0ms (3.7%)

Memory
4.0MiB live, 136.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite151.0ms (2.3%)

Memory
6.5MiB live, 111.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval40.0ms (0.6%)

Memory
-6.0MiB live, 39.4MiB allocated
Compiler

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

prune16.0ms (0.2%)

Memory
-27.9MiB live, 18.4MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3764380
Fresh000
Picked011
Done000
Total3765381
Accuracy
100.0%
Counts
381 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
100.0%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
99.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
99.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
97.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 76 to 58 computations (23.7% saved)

simplify4.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
027155
039155
147155
047147
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -5/12 binary64) x)
#s(literal -5/12 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -5/12 binary64) x)
#s(literal -5/12 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize191.0ms (2.9%)

Memory
-10.0MiB live, 86.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
accuracy0.01953125
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
accuracy0.01953125
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
accuracy0.1875
(*.f64 #s(literal -5/12 binary64) x)
accuracy0.0
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) x)
accuracy0.00390625
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
accuracy0.09491612069552782
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
accuracy0.0
(-.f64 (neg.f64 x) #s(literal 1 binary64))
accuracy0.0
(neg.f64 x)
accuracy0.3394238878405422
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
accuracy1.3656122691370447
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Samples
90.0ms130×1valid
38.0ms71×2valid
37.0ms41×5exit
2.0ms14×0valid
Compiler

Compiled 126 to 24 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
adjust: 34.0ms (32.8% of total)
ival-log: 29.0ms (28% of total)
ival-sub: 12.0ms (11.6% of total)
ival-mult: 11.0ms (10.6% of total)
const: 9.0ms (8.7% of total)
ival-div: 4.0ms (3.9% of total)
ival-log1p: 2.0ms (1.9% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
15 → 34
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 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -5/12 binary64) x)
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
Outputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(- (* -1/2 x) 1)
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(- (* x (- (* -5/12 x) 1/2)) 1)
(* -1/2 x)
(* -5/12 x)
(* x (- (* -5/12 x) 1/2))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -1 (/ (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)))))
Calls

3 calls:

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

simplify163.0ms (2.5%)

Memory
-0.4MiB live, 148.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177969
1582855
22284768
08571756
Stop Event
iter limit
node limit
Counts
34 → 34
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(- (* -1/2 x) 1)
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(- (* x (- (* -5/12 x) 1/2)) 1)
(* -1/2 x)
(* -5/12 x)
(* x (- (* -5/12 x) 1/2))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -1 (/ (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)))))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(- (* -1/2 x) 1)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(- (* x (- (* -5/12 x) 1/2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -5/12 x)
(*.f64 #s(literal -5/12 binary64) x)
(* x (- (* -5/12 x) 1/2))
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
(* -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) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) 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)))) (+ (* 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))))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) x)) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 (*.f64 (log.f64 x) x) x))))
(- (+ (* -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)))))))))
(-.f64 (-.f64 (+.f64 (/.f64 (+.f64 (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) x)) (neg.f64 (log.f64 x))) (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 x x))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (log.f64 x)))) (pow.f64 x #s(literal 3 binary64)))) (log.f64 x))) (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))))
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1/2 (pow x 2))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x))
(* -1 (* x (+ 1/2 (/ 1 x))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(* -5/12 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -5/12 binary64))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -5/12 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -5/12 binary64))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(neg.f64 (*.f64 x (fma.f64 #s(literal 5/12 binary64) x #s(literal 1/2 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x 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 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) x) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (+.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)))
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64)) (/.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (neg.f64 x)) (/.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x)) (neg.f64 x)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite211.0ms (3.2%)

Memory
8.6MiB live, 234.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027140
039140
1132140
2931138
08975122
Stop Event
iter limit
node limit
iter limit
Counts
15 → 180
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 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -5/12 binary64) x)
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.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)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.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 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)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (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)) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.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 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (fma.f64 (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)) (*.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 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x (+.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (*.f64 x (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x (+.f64 #s(literal -1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x (+.f64 #s(literal -1 binary64) 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 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
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(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))))
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(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))))
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(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -5/12 binary64) x)
(*.f64 x #s(literal -5/12 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/12 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) x)
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
(*.f64 x (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))))
(*.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x))
(/.f64 (*.f64 x (neg.f64 (-.f64 (*.f64 #s(literal 25/144 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 5/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (neg.f64 (-.f64 (*.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (fma.f64 #s(literal -5/24 binary64) x #s(literal 1/4 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 #s(literal 25/144 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x)) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) x)) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (fma.f64 #s(literal -5/24 binary64) x #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 25/144 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x)) (fma.f64 #s(literal 5/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) x)) (neg.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (fma.f64 #s(literal -5/24 binary64) x #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 25/144 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 5/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (fma.f64 #s(literal -5/24 binary64) x #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 25/144 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (fma.f64 #s(literal -5/24 binary64) x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 25/144 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -125/1728 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (fma.f64 #s(literal -5/24 binary64) x #s(literal 1/4 binary64))))

eval32.0ms (0.5%)

Memory
23.3MiB live, 67.0MiB allocated
Compiler

Compiled 9 341 to 1 102 computations (88.2% saved)

prune19.0ms (0.3%)

Memory
-33.9MiB live, 13.2MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2083211
Fresh000
Picked224
Done011
Total2106216
Accuracy
100.0%
Counts
216 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
100.0%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
99.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
36.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))))
97.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 115 to 86 computations (25.2% saved)

simplify451.0ms (6.9%)

Memory
-57.4MiB live, 127.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
cost-diff0
(-.f64 (*.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))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
cost-diff0
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))
cost-diff0
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))))
cost-diff3
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035203
048203
167203
2101203
3207203
4483203
51716197
66422197
08107185
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1/2 binary64)
#s(literal 5/12 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
#s(literal -1/2 binary64)
x
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1/2 binary64)
#s(literal 5/12 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
#s(literal -1/2 binary64)
x
#s(literal -1 binary64)
#s(literal 1 binary64)

localize248.0ms (3.8%)

Memory
-6.5MiB live, 335.0MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
accuracy0.0
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
accuracy0.09491612069552782
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
accuracy0.0
(-.f64 #s(literal -1 binary64) x)
accuracy0.3394238878405422
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
accuracy0.01953125
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))))
accuracy0.05859375
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
accuracy0.1640625
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
accuracy40.30981541509246
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
Samples
132.0ms84×2valid
93.0ms158×1valid
3.0ms14×0valid
Compiler

Compiled 145 to 33 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-log: 85.0ms (49.7% of total)
adjust: 25.0ms (14.6% of total)
ival-div: 14.0ms (8.2% of total)
ival-sub: 14.0ms (8.2% of total)
ival-mult: 11.0ms (6.4% of total)
const: 8.0ms (4.7% of total)
ival-pow: 7.0ms (4.1% of total)
ival-add: 4.0ms (2.3% of total)
ival-log1p: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
12 → 44
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))
#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))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
Outputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(/ -1 (pow x 3))
(/ (- (* -1 x) 1) (pow x 3))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (pow x 3))
(* -1 x)
(* x (- (* -1/2 x) 1))
(- (* -1/2 x) 1)
(/ -1 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
-5/12
(* -1 (+ 5/12 (* 1/2 (/ 1 x))))
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 x))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) 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)) (+ (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 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12)
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (pow x 3)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (+ (* -1/2 x) -1) x) 1) (* (+ (* -1/2 x) -1) x) (+ (* -1/2 x) -1) (/ (+ (/ -1 x) -1) x) (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x))
1.0ms
x
@inf
((* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (pow x 3)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (+ (* -1/2 x) -1) x) 1) (* (+ (* -1/2 x) -1) x) (+ (* -1/2 x) -1) (/ (+ (/ -1 x) -1) x) (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x))
1.0ms
x
@0
((* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (pow x 3)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (+ (* -1/2 x) -1) x) 1) (* (+ (* -1/2 x) -1) x) (+ (* -1/2 x) -1) (/ (+ (/ -1 x) -1) x) (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x))

simplify209.0ms (3.2%)

Memory
-27.7MiB live, 204.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861061
1606941
22356849
08675837
Stop Event
iter limit
node limit
Counts
44 → 44
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(/ -1 (pow x 3))
(/ (- (* -1 x) 1) (pow x 3))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (pow x 3))
(* -1 x)
(* x (- (* -1/2 x) 1))
(- (* -1/2 x) 1)
(/ -1 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
-5/12
(* -1 (+ 5/12 (* 1/2 (/ 1 x))))
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 x))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) 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)) (+ (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 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12)
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/ -1 (pow x 3))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 x) 1) (pow x 3))
(/.f64 (-.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (pow x 3))
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(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(- (* -1/2 x) 1)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1 x) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* -5/12 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -5/12 binary64))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -5/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
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(* -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))))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) x)) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 (*.f64 (log.f64 x) x) x))))
(- (+ (* -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)))))))))
(-.f64 (-.f64 (+.f64 (/.f64 (+.f64 (fma.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) x)) (neg.f64 (log.f64 x))) (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 x x))) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (log.f64 x)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 x x))) (log.f64 x))) (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) (log.f64 x)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))))
-5/12
#s(literal -5/12 binary64)
(* -1 (+ 5/12 (* 1/2 (/ 1 x))))
(-.f64 #s(literal -5/12 binary64) (/.f64 #s(literal 1/2 binary64) x))
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1/2 (/ 1 x))))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
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(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -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)))
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(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)

rewrite194.0ms (2.9%)

Memory
13.4MiB live, 197.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035172
048172
1197172
21404172
08377160
Stop Event
iter limit
node limit
iter limit
Counts
12 → 247
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))
#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))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
Outputs
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))))
(*.f64 (*.f64 x x) (*.f64 x (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)))) (neg.f64 (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64))) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64))) (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)))) (*.f64 (/.f64 #s(literal 25/144 binary64) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))) (/.f64 #s(literal 25/144 binary64) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))))) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x))) (/.f64 #s(literal 25/144 binary64) (+.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 125/1728 binary64) (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 125/1728 binary64) (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 125/1728 binary64) (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x (neg.f64 x)) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))
(/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x))
(neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal -1 binary64) x))))) (/.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal -1 binary64) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))) (/.f64 x (*.f64 x (neg.f64 x))))
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 x x)) (/.f64 (neg.f64 x) (*.f64 x x)))
(+.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)) (/.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)))
(+.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) x))
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (neg.f64 x)) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (/.f64 #s(literal 1/2 binary64) x))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (/.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (/.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (*.f64 x x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))) x) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))) x))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) x))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x))

eval65.0ms (1%)

Memory
16.8MiB live, 60.3MiB allocated
Compiler

Compiled 14 581 to 1 891 computations (87% saved)

prune5.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2871288
Fresh000
Picked123
Done033
Total2886294
Accuracy
100.0%
Counts
294 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
100.0%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
99.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
37.1%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)))
97.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 117 to 86 computations (26.5% saved)

simplify100.0ms (1.5%)

Memory
-39.6MiB live, 108.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)))
cost-diff1
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
cost-diff4
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028167
037167
159167
2102161
3220161
4472161
51690155
65524155
77916155
08418148
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1/2 binary64)
#s(literal 5/12 binary64)
(*.f64 x x)
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) x #s(literal -1 binary64))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1/2 binary64)
#s(literal 5/12 binary64)
(*.f64 x x)

localize256.0ms (3.9%)

Memory
13.4MiB live, 364.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
accuracy0.1640625
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
accuracy0.1640625
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)
accuracy38.9427093853964
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
Samples
157.0ms158×1valid
78.0ms84×2valid
3.0ms14×0valid
Compiler

Compiled 115 to 27 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-div: 62.0ms (28.6% of total)
ival-log: 61.0ms (28.1% of total)
ival-mult: 28.0ms (12.9% of total)
ival-sub: 27.0ms (12.5% of total)
adjust: 23.0ms (10.6% of total)
const: 9.0ms (4.2% of total)
ival-add: 3.0ms (1.4% of total)
ival-log1p: 2.0ms (0.9% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
6 → 37
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
Outputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(/ -1 x)
(/ (- (* -1 x) 1) x)
(/ (- (* x (- (* -1/2 x) 1)) 1) x)
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) x)
(/ -1 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ -1 (pow x 3))
(/ (- (* -1 x) 1) (pow x 3))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))
(* -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))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 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)))))))))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) 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)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12))
(* -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 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((* (* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (* x x)) x) (* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (* x x)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (/ (+ (/ -1 x) -1) x) (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x))
1.0ms
x
@0
((* (* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (* x x)) x) (* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (* x x)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (/ (+ (/ -1 x) -1) x) (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x))
1.0ms
x
@inf
((* (* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (* x x)) x) (* (- (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x) 5/12) (* x x)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (/ (+ (/ -1 x) -1) x) (/ (- (/ (+ (/ -1 x) -1) x) 1/2) x))

simplify199.0ms (3%)

Memory
-32.1MiB live, 203.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01851044
1585926
22211835
08513829
Stop Event
iter limit
node limit
Counts
37 → 37
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(/ -1 x)
(/ (- (* -1 x) 1) x)
(/ (- (* x (- (* -1/2 x) 1)) 1) x)
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) x)
(/ -1 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ -1 (pow x 3))
(/ (- (* -1 x) 1) (pow x 3))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))
(* -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))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 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)))))))))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) 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)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12))
(* -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 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(- (* x (- (* -1/2 x) 1)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 x) 1) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (- (* -1/2 x) 1)) 1) x)
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(/ -1 (pow x 2))
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(/ (- (* -1 x) 1) (pow x 2))
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(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -5/12 binary64)) (*.f64 x x))
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(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x 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 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) x) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (+.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 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)

rewrite297.0ms (4.5%)

Memory
16.2MiB live, 156.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028130
037130
1157124
21089124
08875121
Stop Event
iter limit
node limit
iter limit
Counts
6 → 118
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)))
#s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
Outputs
(*.f64 (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64))))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))
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(*.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) x))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
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(/.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (neg.f64 x)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/2 binary64)) (neg.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) x)))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x)
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x))))))
(-.f64 (/.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (*.f64 x x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))) x) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x))) x))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))))) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))))) x))
(-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 x)) (-.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x))

eval50.0ms (0.8%)

Memory
-4.2MiB live, 38.9MiB allocated
Compiler

Compiled 8 378 to 1 195 computations (85.7% saved)

prune6.0ms (0.1%)

Memory
16.3MiB live, 16.3MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1521153
Fresh000
Picked011
Done055
Total1527159
Accuracy
100.0%
Counts
159 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
100.0%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
99.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
28.2%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)) #s(literal 5/12 binary64)) (*.f64 x x)) x)))
37.1%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)))
97.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 418 to 196 computations (53.1% saved)

regimes6.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB 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))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)) x)) #s(literal 5/12 binary64)) (*.f64 x x)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
100.0%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.9%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.9%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory
3.9MiB live, 3.9MiB 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))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.5%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Memory
3.2MiB live, 3.2MiB 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
97.8%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
97.8%1x
Compiler

Compiled 10 to 8 computations (20% saved)

simplify24.0ms (0.4%)

Memory
-29.7MiB live, 17.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02565
13665
24565
35265
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

soundness379.0ms (5.8%)

Memory
5.6MiB live, 294.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177969
1582855
22284768
08571756
02171077
1681941
22315857
08506847
Stop Event
fuel
iter limit
node limit
iter limit
node limit
Compiler

Compiled 84 to 46 computations (45.2% saved)

preprocess69.0ms (1%)

Memory
26.5MiB live, 121.0MiB allocated
Compiler

Compiled 160 to 76 computations (52.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...