qlog (example 3.10)

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze4.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
25%12.5%37.5%50%0%0%0%3
62.5%31.2%18.7%50%0%0%0%4
81.3%40.6%9.4%50%0%0%0%5
90.6%45.3%4.7%50%0%0%0%6
95.3%47.6%2.3%50%0%0%0%7
97.7%48.8%1.2%50%0%0%0%8
98.8%49.4%0.6%50%0%0%0%9
99.4%49.7%0.3%50%0%0%0%10
99.7%49.8%0.1%50%0%0%0%11
99.9%49.9%0.1%50%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample3.2s (43.3%)

Memory
5.7MiB live, 2 428.8MiB allocated
Samples
1.6s3 085×2valid
1.1s4 806×1valid
69.0ms365×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-log: 1.6s (68.2% of total)
ival-sub: 217.0ms (9.5% of total)
adjust: 178.0ms (7.8% of total)
ival-div: 134.0ms (5.9% of total)
ival-fabs: 97.0ms (4.2% of total)
ival-log1p: 64.0ms (2.8% of total)
ival-<=: 29.0ms (1.3% of total)
exact: 6.0ms (0.3% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain297.0ms (4.1%)

Memory
-9.6MiB live, 89.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(log.f64 (+.f64 #s(literal 1 binary64) x))
2540-0-(log.f64 (-.f64 #s(literal 1 binary64) x))
00-0-(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) x))sensitivity2540
log.f64(log.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2540
Confusion
Predicted +Predicted -
+2500
-42
Precision
0.984251968503937
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25000
-402
Precision?
0.984251968503937
Recall?
1.0
Freqs
test
numberfreq
02
2254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
164.0ms300×1valid
68.0ms196×2valid
1.0ms16×0valid
Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-log: 61.0ms (61.7% of total)
adjust: 15.0ms (15.2% of total)
ival-div: 9.0ms (9.1% of total)
ival-sub: 7.0ms (7.1% of total)
ival-log1p: 4.0ms (4% of total)
ival-add: 3.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess12.0ms (0.2%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
11623
079
0129
1159
0157
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶3.5%
(/.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)

simplify38.0ms (0.5%)

Memory
-46.8MiB live, 1.7MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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))

localize76.0ms (1%)

Memory
26.0MiB live, 72.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy0.01953125
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy58.75851235592016
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy58.789521994864046
(log.f64 (+.f64 #s(literal 1 binary64) x))
Samples
41.0ms98×2valid
27.0ms150×1valid
1.0ms8×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-log: 30.0ms (52.8% of total)
adjust: 14.0ms (24.6% of total)
ival-div: 5.0ms (8.8% of total)
ival-sub: 4.0ms (7% of total)
ival-log1p: 2.0ms (3.5% of total)
ival-add: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB 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))

simplify233.0ms (3.2%)

Memory
15.1MiB live, 189.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171077
1681941
22315857
08506847
Stop Event
1×iter limit
1×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))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(-.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
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(- (+ (* -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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(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x))
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.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 (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))

rewrite170.0ms (2.3%)

Memory
-5.0MiB live, 228.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval44.0ms (0.6%)

Memory
14.0MiB live, 114.6MiB allocated
Compiler

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

prune11.0ms (0.2%)

Memory
-5.1MiB live, 39.3MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3728380
Fresh000
Picked101
Done000
Total3738381
Accuracy
100.0%
Counts
381 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶3.9%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) 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))))))
▶6.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
5.4%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
3.9%
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶99.3%
#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)))
▶99.1%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
98.7%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
▶98.0%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 274 to 204 computations (25.5% saved)

simplify84.0ms (1.1%)

Memory
-11.1MiB live, 137.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff2
(+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 x))))
cost-diff2
(+.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
cost-diff3
(*.f64 #s(literal 0 binary64) (log1p.f64 x))
cost-diff7
(/.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)))))
cost-diff0
(log1p.f64 x)
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)) (log1p.f64 x))
cost-diff0
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
cost-diff0
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
cost-diff0
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
cost-diff0
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039238
060189
192189
2138189
3346189
41486189
55757189
08174189
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -5/12 binary64) x)
#s(literal -5/12 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log1p.f64 x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.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))))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
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 #s(literal 0 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
#s(literal 0 binary64)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 x)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 0 binary64) (log1p.f64 x))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -5/12 binary64) x)
#s(literal -5/12 binary64)
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log1p.f64 x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.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 (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
(/.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)))))
(log1p.f64 x)
(+.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
#s(literal 0 binary64)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(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))))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log1p.f64 x)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 0 binary64) (log1p.f64 x))
#s(literal 0 binary64)

localize247.0ms (3.4%)

Memory
-7.4MiB live, 369.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
accuracy0.02734375
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
accuracy36.78673572771872
(/.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)))))
accuracy49.25548053996161
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0
(log1p.f64 x)
accuracy0.01171875
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
accuracy49.25548053996161
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) x)
accuracy0.015625
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
accuracy0.3033999996872714
#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)))
accuracy0.9181553880895803
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
accuracy0.01171875
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
accuracy0.01171875
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
accuracy0.18359375
(*.f64 #s(literal -5/12 binary64) x)
accuracy0.22408220413320834
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
Samples
89.0ms88×2valid
64.0ms120×1valid
60.0ms42×5exit
1.0ms6×0valid
Compiler

Compiled 254 to 33 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
adjust: 35.0ms (23.2% of total)
ival-log: 32.0ms (21.2% of total)
ival-sub: 22.0ms (14.6% of total)
ival-mult: 13.0ms (8.6% of total)
ival-div: 11.0ms (7.3% of total)
const: 10.0ms (6.6% of total)
ival-pow2: 10.0ms (6.6% of total)
ival-pow: 8.0ms (5.3% of total)
ival-add: 4.0ms (2.6% of total)
ival-log1p: 3.0ms (2% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
25.0MiB live, 25.0MiB allocated
Counts
22 → 84
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.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 (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)
(log1p.f64 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 #s(literal 0 binary64) (log1p.f64 x))
(+.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 #s(literal -5/12 binary64) x)
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
Outputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
1
(+ 1 (* -1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
0
(pow x 3)
(* (pow x 3) (+ 1 (* -3/2 x)))
(* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2))))
(* (pow x 3) (+ 1 (* x (- (* x (+ 7/4 (* -15/8 x))) 3/2))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))
(* -5/12 x)
(* -1/2 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)))))))))
(* -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))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1 (* x (+ 1/2 (/ 1 x))))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* x (- (/ 1 x) 1))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1 (pow (log (/ 1 x)) 3))
(+ (* -1 (pow (log (/ 1 x)) 3)) (+ (* 2 (/ (pow (log (/ 1 x)) 2) x)) (/ (pow (log (/ 1 x)) 2) x)))
(+ (* -2 (/ (log (/ 1 x)) (pow x 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow x 2))) (+ (* -1 (pow (log (/ 1 x)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) x)) (/ (pow (log (/ 1 x)) 2) x))))))
(+ (* -2 (/ (log (/ 1 x)) (pow x 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow x 2))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 3))) (+ (* -1 (pow (log (/ 1 x)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 3))) (+ (* 2 (/ (log (/ 1 x)) (pow x 3))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) x)) (+ (/ 1 (pow x 3)) (/ (pow (log (/ 1 x)) 2) x))))))))))
(pow (log (/ 1 x)) 2)
(+ (* -2 (/ (log (/ 1 x)) x)) (pow (log (/ 1 x)) 2))
(+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))
(- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3)))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -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))))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (- (* (- (* -5/12 x) 1/2) x) 1) (/ (log (- 1 x)) (log (+ 1 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))) (log (- 1 x)) (- 1 x) (log (+ 1 x)) (/ (+ 0 (pow (log (+ 1 x)) 3)) (+ 0 (- (pow (log (+ 1 x)) 2) (* 0 (log (+ 1 x)))))) (* 0 (log (+ 1 x))) (+ 0 (pow (log (+ 1 x)) 3)) (+ 0 (- (pow (log (+ 1 x)) 2) (* 0 (log (+ 1 x))))) (* -5/12 x) (* (- (* -5/12 x) 1/2) x) (* -1/2 x) (pow (log (+ 1 x)) 3) (pow (log (+ 1 x)) 2))
4.0ms
x
@-inf
((/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (- (* (- (* -5/12 x) 1/2) x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* -1/2 x) 1) x) 1) (* (- (* -1/2 x) 1) x) (- (* -1/2 x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (- 1 x) (log (+ 1 x)) (/ (+ 0 (pow (log (+ 1 x)) 3)) (+ 0 (- (pow (log (+ 1 x)) 2) (* 0 (log (+ 1 x)))))) (* 0 (log (+ 1 x))) (+ 0 (pow (log (+ 1 x)) 3)) (+ 0 (- (pow (log (+ 1 x)) 2) (* 0 (log (+ 1 x))))) (* -5/12 x) (* (- (* -5/12 x) 1/2) x) (* -1/2 x) (pow (log (+ 1 x)) 3) (pow (log (+ 1 x)) 2))
2.0ms
x
@0
((/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (- (* (- (* -5/12 x) 1/2) x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* -1/2 x) 1) x) 1) (* (- (* -1/2 x) 1) x) (- (* -1/2 x) 1) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (- 1 x) (log (+ 1 x)) (/ (+ 0 (pow (log (+ 1 x)) 3)) (+ 0 (- (pow (log (+ 1 x)) 2) (* 0 (log (+ 1 x)))))) (* 0 (log (+ 1 x))) (+ 0 (pow (log (+ 1 x)) 3)) (+ 0 (- (pow (log (+ 1 x)) 2) (* 0 (log (+ 1 x))))) (* -5/12 x) (* (- (* -5/12 x) 1/2) x) (* -1/2 x) (pow (log (+ 1 x)) 3) (pow (log (+ 1 x)) 2))

simplify179.0ms (2.4%)

Memory
30.3MiB live, 201.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03941990
113341731
254251678
081281636
Stop Event
1×iter limit
1×node limit
Counts
84 → 83
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
1
(+ 1 (* -1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
0
(pow x 3)
(* (pow x 3) (+ 1 (* -3/2 x)))
(* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2))))
(* (pow x 3) (+ 1 (* x (- (* x (+ 7/4 (* -15/8 x))) 3/2))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))
(* -5/12 x)
(* -1/2 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)))))))))
(* -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))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1 (* x (+ 1/2 (/ 1 x))))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* x (- (/ 1 x) 1))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1 (pow (log (/ 1 x)) 3))
(+ (* -1 (pow (log (/ 1 x)) 3)) (+ (* 2 (/ (pow (log (/ 1 x)) 2) x)) (/ (pow (log (/ 1 x)) 2) x)))
(+ (* -2 (/ (log (/ 1 x)) (pow x 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow x 2))) (+ (* -1 (pow (log (/ 1 x)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) x)) (/ (pow (log (/ 1 x)) 2) x))))))
(+ (* -2 (/ (log (/ 1 x)) (pow x 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow x 2))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 3))) (+ (* -1 (pow (log (/ 1 x)) 3)) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 3))) (+ (* 2 (/ (log (/ 1 x)) (pow x 3))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) x)) (+ (/ 1 (pow x 3)) (/ (pow (log (/ 1 x)) 2) x))))))))))
(pow (log (/ 1 x)) 2)
(+ (* -2 (/ (log (/ 1 x)) x)) (pow (log (/ 1 x)) 2))
(+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))
(- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3)))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -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))))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
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)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(- (* -1/2 x) 1)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(* 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)
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)
0
#s(literal 0 binary64)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (* -3/2 x)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/2 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 7/4 binary64) x) #s(literal 3/2 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (* x (- (* x (+ 7/4 (* -15/8 x))) 3/2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -15/8 binary64) x #s(literal 7/4 binary64)) x) #s(literal 3/2 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 11/12 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/6 binary64) x #s(literal 11/12 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x)
(* -5/12 x)
(*.f64 #s(literal -5/12 binary64) x)
(* -1/2 x)
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(* 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))))
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(-.f64 (/.f64 (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 (log.f64 #s(literal -1 binary64)) x) (*.f64 (log.f64 x) (log.f64 x))))
(- (+ (* -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 (/.f64 (/.f64 #s(literal 1/2 binary64) 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 (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 (neg.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)))
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(* -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)))))
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(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
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(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64) #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 (fma.f64 (*.f64 #s(literal 5/12 binary64) x) x (*.f64 #s(literal 1/2 binary64) x)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
(* -1/2 (pow x 2))
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(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x))
(* -1 (* x (+ 1/2 (/ 1 x))))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
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(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(+.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) (log.f64 #s(literal -1 binary64)))
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* -1 (log (/ 1 x)))
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(+ (* -1 (log (/ 1 x))) (/ 1 x))
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(- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3)))
(fma.f64 (neg.f64 (/.f64 (log.f64 x) x)) #s(literal -2 binary64) (+.f64 (fma.f64 (log.f64 x) (log.f64 x) (/.f64 (+.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (-.f64 (neg.f64 (*.f64 #s(literal -2/3 binary64) (log.f64 x))) #s(literal 1 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)))
(-.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 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))))) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -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 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 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 4 binary64)))))) (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)))) #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) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 5/12 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (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 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(fma.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(fma.f64 (/.f64 (fma.f64 #s(literal -3 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 #s(literal 3 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))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))) x) #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))
(+ (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(fma.f64 (/.f64 (fma.f64 #s(literal -3 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 #s(literal 3 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))) (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (+.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2/3 binary64) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) (neg.f64 x)))) (neg.f64 x))) x) #s(literal -1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(fma.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) #s(literal 2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2 binary64) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) x)) x) #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)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(fma.f64 (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2/3 binary64) #s(literal 1 binary64)) x)) (neg.f64 x))) x) #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)))

rewrite60.0ms (0.8%)

Memory
-6.6MiB live, 37.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038177
058158
1211156
01656156
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
22 → 232
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.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 (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)
(log1p.f64 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 #s(literal 0 binary64) (log1p.f64 x))
(+.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 #s(literal -5/12 binary64) x)
(*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64))))
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eval38.0ms (0.5%)

Memory
3.2MiB live, 47.9MiB allocated
Compiler

Compiled 9 986 to 1 477 computations (85.2% saved)

prune29.0ms (0.4%)

Memory
-33.6MiB live, 22.3MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New3312333
Fresh033
Picked145
Done000
Total3329341
Accuracy
100.0%
Counts
341 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
✓6.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
▶5.4%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
▶3.9%
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓99.3%
#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)))
✓99.1%
#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)))
▶47.4%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
▶98.7%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
✓98.0%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 266 to 194 computations (27.1% saved)

simplify84.0ms (1.1%)

Memory
42.4MiB live, 91.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
cost-diff0
(log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
cost-diff0
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
cost-diff2
(log.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff1
(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
cost-diff1
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
cost-diff3
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
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
(*.f64 (neg.f64 x) x)
cost-diff0
(log1p.f64 (*.f64 (neg.f64 x) x))
cost-diff0
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
cost-diff1
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052367
087359
1123358
2195358
3398358
41178348
53218348
67428348
08216339
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(log1p.f64 x)
#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 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64))
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x)
#s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 5/12 binary64)
(*.f64 x x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.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
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
Outputs
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 1 binary64))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(log1p.f64 x)
#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 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 5/12 binary64)) x) x #s(literal -1 binary64))) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 5/12 binary64)) x) x #s(literal -1 binary64))) x) #s(literal 1 binary64))
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x)
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 5/12 binary64)) x) x #s(literal -1 binary64))) x)
#s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)))
#s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 5/12 binary64)) x) x #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 5/12 binary64)) x) x #s(literal -1 binary64))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64))
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 5/12 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 5/12 binary64)
(*.f64 x x)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log1p.f64 (neg.f64 x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log1p.f64 x))
(log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.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
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)

localize293.0ms (4%)

Memory
-9.6MiB live, 372.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy0.16796875
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
accuracy58.75851235592016
(log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
accuracy58.789521994864046
(log.f64 (+.f64 #s(literal 1 binary64) x))
accuracy0.01953125
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy0.27734375
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy0.43815997660937833
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy58.75851235592016
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.015625
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x)
accuracy0.1171875
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)
accuracy0.43779100676842286
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
accuracy33.109500921750296
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
accuracy0.0
(-.f64 (neg.f64 x) #s(literal 1 binary64))
accuracy0.0
(neg.f64 x)
accuracy0.8172731448888881
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
accuracy0.0
(log1p.f64 x)
accuracy0.0078125
(log1p.f64 (*.f64 (neg.f64 x) x))
accuracy0.015625
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
accuracy0.01953125
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
Samples
155.0ms150×1valid
94.0ms98×2valid
3.0ms8×0valid
Compiler

Compiled 275 to 44 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 211.0ms
adjust: 60.0ms (28.4% of total)
ival-mult: 36.0ms (17% of total)
ival-log: 32.0ms (15.1% of total)
ival-add: 30.0ms (14.2% of total)
ival-sub: 16.0ms (7.6% of total)
ival-div: 15.0ms (7.1% of total)
const: 13.0ms (6.1% of total)
ival-log1p: 6.0ms (2.8% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
-28.1MiB live, 16.6MiB allocated
Counts
25 → 99
Calls
Call 1
Inputs
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
#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)
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(log1p.f64 x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x)
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
Outputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 x)
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(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(/ -1 x)
(/ (- (* -1/2 x) 1) x)
1
(+ 1 (* -1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(/ -1 (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* 1/3 x)
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(* -1 (* x (+ 1 (/ 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))
-1/2
(* -1 (+ 1/2 (/ 1 x)))
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(* -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)))))
(+ (log -1) (* -1 (log (/ 1 x))))
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(* x (- (/ 1 x) 1))
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(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(/ (- (* -2 (log (/ -1 x))) (* -1 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (- (* -2 (log (/ -1 x))) (* -1 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))))
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(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
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(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -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))))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
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Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((/ (- (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 x))) (- (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 (* (neg x) x))) (* (neg x) x) (/ (log (- 1 x)) (log (+ 1 x))) (- (neg x) 1) (neg x) (* (- (/ (+ (* (/ 1 x) -1) -1/2) x) 5/12) (* x x)) (+ (* (/ 1 x) -1) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (- 1 x) (log (+ 1 x)) (/ (+ (* (/ 1 x) -1) -1/2) x) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (* (+ (* -1/4 x) 1/3) x) (* (+ (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) 1) x) (* (- (/ 1 x) 1) x))
6.0ms
x
@inf
((/ (- (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 x))) (- (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 (* (neg x) x))) (* (neg x) x) (/ (log (- 1 x)) (log (+ 1 x))) (- (neg x) 1) (neg x) (* (- (/ (+ (* (/ 1 x) -1) -1/2) x) 5/12) (* x x)) (+ (* (/ 1 x) -1) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (- 1 x) (log (+ 1 x)) (/ (+ (* (/ 1 x) -1) -1/2) x) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (* (+ (* -1/4 x) 1/3) x) (* (+ (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) 1) x) (* (- (/ 1 x) 1) x))
3.0ms
x
@0
((/ (- (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 x))) (- (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 (* (neg x) x))) (* (neg x) x) (/ (log (- 1 x)) (log (+ 1 x))) (- (neg x) 1) (neg x) (* (- (/ (+ (* (/ 1 x) -1) -1/2) x) 5/12) (* x x)) (+ (* (/ 1 x) -1) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (- 1 x) (log (+ 1 x)) (/ (+ (* (/ 1 x) -1) -1/2) x) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (* (+ (* -1/4 x) 1/3) x) (* (+ (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) 1) x) (* (- (/ 1 x) 1) x))

simplify140.0ms (1.9%)

Memory
14.5MiB live, 107.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04052716
113032130
251422014
081931991
Stop Event
1×iter limit
1×node limit
Counts
99 → 98
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(/ -1 x)
(/ (- (* -1/2 x) 1) x)
1
(+ 1 (* -1 x))
x
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(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
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(neg.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) 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 (+ (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)))
(neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.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))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.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 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) 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 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (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 (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))))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1 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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal -1 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x) #s(literal -1 binary64) (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 5/12 binary64)))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(*.f64 (pow.f64 (neg.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)))
(* -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 1/2 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))

rewrite177.0ms (2.4%)

Memory
25.6MiB live, 154.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052276
087258
1295258
21939236
09163231
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 462
Calls
Call 1
Inputs
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
#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)
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(-.f64 #s(literal 1 binary64) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(log1p.f64 x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x)
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
Outputs
#s(literal 1 binary64)
(log1p.f64 (neg.f64 x))
(log1p.f64 x)
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))) (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (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 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 (fma.f64 x x x)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log1p.f64 (fma.f64 x x x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) (log1p.f64 (-.f64 (*.f64 x x) x)) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (log1p.f64 x)))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))))))
(/.f64 (neg.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 (neg.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))) (*.f64 (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))) (log1p.f64 x))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))))
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(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x) x)
(+.f64 (*.f64 x (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)) x)
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(+.f64 x (*.f64 x (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (expm1.f64 (neg.f64 (log.f64 x))) (/.f64 x #s(literal 1 binary64)))
(*.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)
(*.f64 x (expm1.f64 (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))

eval78.0ms (1.1%)

Memory
-6.5MiB live, 145.9MiB allocated
Compiler

Compiled 19 581 to 2 556 computations (86.9% saved)

prune14.0ms (0.2%)

Memory
-8.9MiB live, 35.2MiB allocated
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New4564460
Fresh000
Picked235
Done134
Total45910469
Accuracy
100.0%
Counts
469 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶3.4%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))))
✓5.4%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
✓3.9%
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶5.3%
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
✓99.3%
#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)))
✓99.1%
#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)))
▶47.4%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
✓98.7%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
✓98.0%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 208 to 152 computations (26.9% saved)

simplify111.0ms (1.5%)

Memory
-15.8MiB live, 180.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 x)
cost-diff0
(neg.f64 x)
cost-diff0
(log1p.f64 (neg.f64 x))
cost-diff0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))))
cost-diff1
(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff4
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
cost-diff0
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
cost-diff0
(log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
cost-diff0
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff0
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x)
cost-diff0
(-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
cost-diff3
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052415
085405
1120400
2319400
3965400
42311390
56563390
08254385
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64))
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #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) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal -1/2 binary64)
#s(literal 5/12 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.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(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(sqrt.f64 x)
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 5/12 binary64)) x) x #s(literal -1 binary64))) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 5/12 binary64)) x) x #s(literal -1 binary64))) x) #s(literal 1 binary64))
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x)
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 5/12 binary64)) x) x #s(literal -1 binary64))) x)
#s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x)))
#s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 5/12 binary64)) x) x #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 5/12 binary64)) x) x #s(literal -1 binary64))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64))
(-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 5/12 binary64))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal -1/2 binary64)
#s(literal 5/12 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.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(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))))
(/.f64 (log1p.f64 (neg.f64 x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)
(sqrt.f64 x)
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)

localize186.0ms (2.6%)

Memory
46.6MiB live, 238.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.0
(log1p.f64 (neg.f64 x))
accuracy0.0
(log1p.f64 x)
accuracy0.0078125
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
accuracy0.1015625
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy0.26953125
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
accuracy0.43815997660937833
#s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)))
accuracy28.703430250924686
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.07421875
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
accuracy0.1015625
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
accuracy0.43815997660937833
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy28.703430250924686
(log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
accuracy0.01171875
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x)
accuracy0.04296875
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
accuracy0.43779100676842286
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
accuracy18.894133016180156
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))
Samples
65.0ms55×2valid
44.0ms128×0invalid
44.0ms66×1valid
2.0ms7×0valid
Compiler

Compiled 291 to 44 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 22.0ms (19.6% of total)
ival-log: 19.0ms (17% of total)
adjust: 16.0ms (14.3% of total)
ival-sub: 15.0ms (13.4% of total)
ival-div: 12.0ms (10.7% of total)
const: 12.0ms (10.7% of total)
ival-add: 7.0ms (6.2% of total)
ival-sqrt: 5.0ms (4.5% of total)
ival-log1p: 3.0ms (2.7% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-39.6MiB live, 10.9MiB allocated
Counts
20 → 66
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #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))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64))
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x)
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(log1p.f64 x)
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
#s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)))
Outputs
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 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 (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
1
(+ 1 (* -1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(/ -1 (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 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) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(+ (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))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -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)))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 (* x (- 1 (/ 1 x))))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sqrt -1) 2) x)) 1/2) x)) 1/3) x)) 1/4))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* (- (/ (+ (/ -1 x) -1/2) x) 5/12) (* x x)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (+ (* (sqrt x) (sqrt x)) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (/ (+ (/ -1 x) -1/2) x) (log (+ 1 x)) (* (+ (* -1/4 x) 1/3) x) (log (+ 1 x)))
2.0ms
x
@inf
((* (- (/ (+ (/ -1 x) -1/2) x) 5/12) (* x x)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (+ (* (sqrt x) (sqrt x)) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (/ (+ (/ -1 x) -1/2) x) (log (+ 1 x)) (* (+ (* -1/4 x) 1/3) x) (log (+ 1 x)))
1.0ms
x
@0
((* (- (/ (+ (/ -1 x) -1/2) x) 5/12) (* x x)) (/ (log (- 1 x)) (log (+ 1 x))) (- (* (- (* (- (* -5/12 x) 1/2) x) 1) x) 1) (* (- (* (- (* -5/12 x) 1/2) x) 1) x) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (+ (* (sqrt x) (sqrt x)) (* (* (- (* (+ (* -1/4 x) 1/3) x) 1/2) x) x)) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (/ (+ (/ -1 x) -1/2) x) (log (+ 1 x)) (* (+ (* -1/4 x) 1/3) x) (log (+ 1 x)))

simplify145.0ms (2%)

Memory
32.1MiB live, 118.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02801346
18561201
229741133
086251121
Stop Event
1×iter limit
1×node limit
Counts
66 → 65
Calls
Call 1
Inputs
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 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 (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
1
(+ 1 (* -1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(/ -1 (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 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) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(+ (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))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -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)))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(* -1 (* x (- 1 (/ 1 x))))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sqrt -1) 2) x)) 1/2) x)) 1/3) x)) 1/4))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
Outputs
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(- (* -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 (- (* -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 (- (* 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)
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))))
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(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) x)
(* 1/3 x)
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(* x (+ 1/3 (* -1/4 x)))
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(* -5/12 (pow x 2))
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(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
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(* -5/12 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -5/12 binary64))
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(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
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(* x (- (/ 1 x) 1))
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(* -1/4 (pow x 4))
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(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
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(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
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(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(-.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(-.f64 (-.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x))
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(/ -1/2 x)
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(* -1 (/ (+ 1/2 (/ 1 x)) x))
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(* -1/4 (pow x 2))
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(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
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(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))))) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -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 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 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 4 binary64)))))) (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)))) #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) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/2 binary64)) x) #s(literal -5/12 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (log (/ -1 x)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sqrt -1) 2) x)) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(+ (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))

rewrite156.0ms (2.1%)

Memory
-12.4MiB live, 125.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052270
085263
1282256
21967249
09196245
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 327
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #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))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64))
(*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x)
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(log1p.f64 x)
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x)
#s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x)))
Outputs
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))) x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))) x) x)
(*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))) (*.f64 x x))
(*.f64 x (*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64)) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 125/1728 binary64)) (*.f64 x x)) (+.f64 (fma.f64 #s(literal 5/12 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) #s(literal 25/144 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 25/144 binary64)) (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))))) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))))) x #s(literal 1 binary64)) (fma.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))))) x #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))))) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))))) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64))))) x #s(literal 1 binary64)))))
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(*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) (*.f64 (*.f64 #s(literal -1/4 binary64) x) x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/4 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (*.f64 x (*.f64 #s(literal -1/4 binary64) x))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 #s(literal -1/4 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x)) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/9 binary64))) (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (*.f64 #s(literal -1/4 binary64) x) x))
(fma.f64 x (*.f64 #s(literal -1/4 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 x (*.f64 #s(literal -1/4 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) x) x) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal -1/4 binary64) x) x))
(+.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (*.f64 x #s(literal 1/3 binary64)))
(+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 #s(literal -1/4 binary64) x)))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x))

eval57.0ms (0.8%)

Memory
23.3MiB live, 110.4MiB allocated
Compiler

Compiled 16 316 to 2 186 computations (86.6% saved)

prune93.0ms (1.3%)

Memory
-1.6MiB live, 54.0MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New3921393
Fresh000
Picked224
Done156
Total3958403
Accuracy
100.0%
Counts
403 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓3.9%
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.5%
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
✓99.3%
#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)))
✓99.1%
#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)))
✓47.4%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
✓98.7%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
✓98.0%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 501 to 228 computations (54.5% saved)

regimes15.0ms (0.2%)

Memory
-33.4MiB live, 18.1MiB allocated
Counts
16 → 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 (neg.f64 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))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) 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))))))
Outputs
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
Calls

2 calls:

10.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
100.0%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 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))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
100.0%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)

regimes6.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB 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 (neg.f64 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))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) x))))
Outputs
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
Calls

2 calls:

3.0ms
x
2.0ms
(/.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)

regimes7.0ms (0.1%)

Memory
-34.0MiB live, 12.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 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))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 #s(approx (- (* (- (* -5/12 x) 1/2) x) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 5/12 binary64)) (*.f64 x x))) x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
Calls

2 calls:

5.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
2.0ms
x
Results
AccuracySegmentsBranch
99.3%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.3%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory
7.3MiB live, 7.3MiB 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 (neg.f64 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 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) 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
99.1%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.1%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (neg.f64 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
98.7%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
98.7%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Memory
8.0MiB live, 8.0MiB 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
98.0%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
98.0%1x
Compiler

Compiled 10 to 8 computations (20% saved)

simplify17.0ms (0.2%)

Memory
-5.9MiB live, 40.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051123
174123
293123
3108123
4109123
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.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 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Outputs
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (*.f64 (-.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 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

soundness900.0ms (12.3%)

Memory
-2.9MiB live, 759.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038177
058158
1211156
01656156
02171077
1681941
22315857
08506847
02801346
18561201
229741133
086251121
04052716
113032130
251422014
081931991
052276
087258
1295258
21939236
09163231
0723
01223
13623
219323
3170923
01071415
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 314 to 178 computations (43.3% saved)

preprocess71.0ms (1%)

Memory
18.9MiB live, 73.5MiB allocated
Compiler

Compiled 276 to 128 computations (53.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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