neg log

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample652.0ms (10.3%)

Memory
20.8MiB live, 854.4MiB allocated
Samples
433.0ms8 256×0valid
1.0ms17×0invalid
Precisions
Click to see histograms. Total time spent on operations: 292.0ms
ival-log: 138.0ms (47.2% of total)
ival-div: 69.0ms (23.6% of total)
ival-sub: 39.0ms (13.3% of total)
ival-neg: 34.0ms (11.6% of total)
ival-true: 6.0ms (2.1% of total)
exact: 4.0ms (1.4% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain85.0ms (1.3%)

Memory
-0.5MiB live, 85.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
00-0-(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))oflow-rescue10
(/.f64 #s(literal 1 binary64) x)overflow1
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms512×0valid
Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-log: 6.0ms (38.4% of total)
ival-div: 4.0ms (25.6% of total)
ival-sub: 2.0ms (12.8% of total)
ival-neg: 2.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess15.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated
Algorithm
egg-herbie
Rules
26×sub-neg
16×+-commutative
12×lower-+.f64
12×lower-+.f32
12×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
12113
23913
36213
47413
58313
69113
710013
810313
067
0107
1177
2207
3227
4247
5287
6337
0337
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
cost-diff0
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
cost-diff0
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Rules
12×lower-+.f64
12×lower-+.f32
sub-neg
lower--.f32
lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
01023
11723
22023
32223
42423
52823
63323
03323
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize25.0ms (0.4%)

Memory
-12.3MiB live, 25.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy0
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
accuracy0.24994810020585062
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
Samples
20.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (35.3% of total)
ival-log: 3.0ms (35.3% of total)
ival-sub: 1.0ms (11.8% of total)
ival-neg: 1.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (log x) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (/ 1 x)) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))
1.0ms
x
@-inf
((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))
0.0ms
x
@inf
((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x))

simplify263.0ms (4.2%)

Memory
11.0MiB live, 90.2MiB allocated
Algorithm
egg-herbie
Rules
5 216×lower-fma.f64
5 216×lower-fma.f32
1 376×lower-*.f64
1 376×lower-*.f32
944×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075313
1190292
2397290
3968280
41971278
54221278
65618278
75789278
85802278
95802278
105802278
115977278
126010278
136010278
06010270
Stop Event
iter limit
saturated
Counts
48 → 48
Calls
Call 1
Inputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log x))
(+ (* -1 x) (* -1 (log x)))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(/ 1 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(* -1 (log x))
(neg.f64 (log.f64 x))
(+ (* -1 x) (* -1 (log x)))
(neg.f64 (+.f64 (log.f64 x) x))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* -1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/ (+ 1 (* -1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (/.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)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (/ 1 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(- (/ 1 x) 1)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(- (/ 1 x) 1)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.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)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (/ 1 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) (log.f64 #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(- (/ 1 x) 1)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(- (/ 1 x) 1)
(/.f64 (-.f64 #s(literal 1 binary64) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

rewrite276.0ms (4.4%)

Memory
-20.5MiB live, 192.7MiB allocated
Rules
3 528×lower-fma.f64
3 528×lower-fma.f32
2 728×lower-/.f32
2 726×lower-/.f64
1 996×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621
01021
13821
223621
3250421
0927918
Stop Event
iter limit
node limit
iter limit
Counts
4 → 345
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
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eval53.0ms (0.8%)

Memory
-16.2MiB live, 105.7MiB allocated
Compiler

Compiled 7 945 to 1 337 computations (83.2% saved)

prune9.0ms (0.1%)

Memory
-8.0MiB live, 30.7MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3885393
Fresh000
Picked011
Done000
Total3886394
Accuracy
100.0%
Counts
394 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))))
99.6%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.6%
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
99.0%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
97.6%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Compiler

Compiled 85 to 68 computations (20% saved)

simplify156.0ms (2.5%)

Memory
15.1MiB live, 170.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(expm1.f64 (neg.f64 (log.f64 x)))
cost-diff0
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))))
cost-diff25920
(/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))
cost-diff0
(log.f64 x)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
cost-diff0
(log.f64 x)
cost-diff0
(+.f64 (log.f64 x) x)
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
cost-diff0
(log.f64 x)
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
cost-diff0
(neg.f64 (log.f64 x))
cost-diff0
(expm1.f64 (neg.f64 (log.f64 x)))
cost-diff0
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
cost-diff0
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
Rules
3 796×lower-/.f32
3 792×lower-/.f64
3 250×lower-neg.f32
3 244×lower-neg.f64
2 498×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023148
038138
164135
2106128
3215128
4345128
5727128
62062128
73669128
08434128
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(expm1.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(expm1.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
x
(neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(expm1.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
#s(literal 1 binary64)
(/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(expm1.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
x
(neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
#s(literal 2 binary64)

localize95.0ms (1.5%)

Memory
-14.1MiB live, 108.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.27734375
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))))
accuracy0.33822250976844204
(/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))
accuracy0.5459175293053261
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
accuracy5.6022509803682485
(expm1.f64 (neg.f64 (log.f64 x)))
accuracy0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy0
(log.f64 x)
accuracy0.037441259768442016
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
accuracy0.40036277556912236
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
accuracy0
(log.f64 x)
accuracy0.02734375
(+.f64 (log.f64 x) x)
accuracy0.6394637215980956
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
accuracy0
(log.f64 x)
accuracy1.5593768477267542
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
accuracy0
(neg.f64 (log.f64 x))
accuracy0
(log.f64 x)
accuracy0.24994810020585062
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
accuracy5.6022509803682485
(expm1.f64 (neg.f64 (log.f64 x)))
Samples
76.0ms256×0valid
Compiler

Compiled 158 to 24 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 22.0ms (45.4% of total)
ival-log: 9.0ms (18.6% of total)
ival-neg: 4.0ms (8.3% of total)
ival-add: 3.0ms (6.2% of total)
ival-mult: 3.0ms (6.2% of total)
ival-expm1: 3.0ms (6.2% of total)
ival-pow2: 2.0ms (4.1% of total)
ival-sub: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series198.0ms (3.1%)

Memory
18.0MiB live, 248.4MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())
#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())
#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (log (- (exp (neg (log x))) 1)) (taylor 0 x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (log (- (exp (neg (log x))) 1)) (taylor 0 x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (log (- (exp (neg (log x))) 1)) (taylor 0 x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (log (- (exp (neg (log x))) 1)) (taylor 0 x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (log x))) 1) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (log x))) 1) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (log x))) 1) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (log x))) 1) (taylor 0 x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (neg.f64 (log.f64 x)) (patch (neg.f64 (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (log x))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow (log (- (exp (neg (log x))) 1)) 2) (taylor 0 x) (#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (- (exp (neg (log x))) 1)) 2) (taylor 0 x) (#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (- (exp (neg (log x))) 1)) 2) (taylor 0 x) (#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (- (exp (neg (log x))) 1)) 2) (taylor 0 x) (#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) (patch (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) (taylor -inf x) (#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) (taylor -inf x) (#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) (taylor -inf x) (#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2) (taylor -inf x) (#s(alt (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
86.0ms
x
@-inf
((neg (log (- (exp (neg (log x))) 1))) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1) (neg (log x)) (neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (/ (log (- (exp (neg (log x))) 1)) (neg (pow (log (- (exp (neg (log x))) 1)) 2))) (/ 1 (/ (log (- (exp (neg (log x))) 1)) (neg (pow (log (- (exp (neg (log x))) 1)) 2)))) (pow (log (- (exp (neg (log x))) 1)) 2))
82.0ms
x
@0
((neg (log (- (exp (neg (log x))) 1))) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1) (neg (log x)) (neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (/ (log (- (exp (neg (log x))) 1)) (neg (pow (log (- (exp (neg (log x))) 1)) 2))) (/ 1 (/ (log (- (exp (neg (log x))) 1)) (neg (pow (log (- (exp (neg (log x))) 1)) 2)))) (pow (log (- (exp (neg (log x))) 1)) 2))
26.0ms
x
@inf
((neg (log (- (exp (neg (log x))) 1))) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1) (neg (log x)) (neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (/ (log (- (exp (neg (log x))) 1)) (neg (pow (log (- (exp (neg (log x))) 1)) 2))) (/ 1 (/ (log (- (exp (neg (log x))) 1)) (neg (pow (log (- (exp (neg (log x))) 1)) 2)))) (pow (log (- (exp (neg (log x))) 1)) 2))

simplify175.0ms (2.8%)

Memory
9.8MiB live, 167.9MiB allocated
Algorithm
egg-herbie
Rules
13 130×lower-fma.f64
13 130×lower-fma.f32
2 380×lower-*.f64
2 380×lower-*.f32
2 000×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941153
12661052
26041049
322071046
460511046
08239933
Stop Event
iter limit
node limit
Counts
168 → 166
Calls
Call 1
Inputs
(* -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(log (- (exp (neg (log x))) 1))
(log (- (exp (neg (log x))) 1))
(log (- (exp (neg (log x))) 1))
(log (- (exp (neg (log x))) 1))
(- (exp (neg (log x))) 1)
(- (exp (neg (log x))) 1)
(- (exp (neg (log x))) 1)
(- (exp (neg (log x))) 1)
(* -1 (log x))
(* -1 (log x))
(* -1 (log x))
(* -1 (log x))
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(log x)
(log x)
(log x)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ x (log x))
(+ x (log x))
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/ -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(pow (log (- (exp (neg (log x))) 1)) 2)
(pow (log (- (exp (neg (log x))) 1)) 2)
(pow (log (- (exp (neg (log x))) 1)) 2)
(pow (log (- (exp (neg (log x))) 1)) 2)
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1))
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1))
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1))
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1))
(- (exp (neg (* -1 (log (/ 1 x))))) 1)
(- (exp (neg (* -1 (log (/ 1 x))))) 1)
(- (exp (neg (* -1 (log (/ 1 x))))) 1)
(- (exp (neg (* -1 (log (/ 1 x))))) 1)
(log (/ 1 x))
(log (/ 1 x))
(log (/ 1 x))
(log (/ 1 x))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2)
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2)
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2)
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2)
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1) (* -1 (log (/ -1 x)))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
x
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2)
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2)
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2)
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2)
Outputs
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log (- (exp (neg (log x))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log (- (exp (neg (log x))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log (- (exp (neg (log x))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log (- (exp (neg (log x))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(- (exp (neg (log x))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(- (exp (neg (log x))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(- (exp (neg (log x))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(- (exp (neg (log x))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(* -1 (log x))
(neg.f64 (log.f64 x))
(* -1 (log x))
(neg.f64 (log.f64 x))
(* -1 (log x))
(neg.f64 (log.f64 x))
(* -1 (log x))
(neg.f64 (log.f64 x))
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(pow (log (- (exp (neg (log x))) 1)) 2)
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
(pow (log (- (exp (neg (log x))) 1)) 2)
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
(pow (log (- (exp (neg (log x))) 1)) 2)
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
(pow (log (- (exp (neg (log x))) 1)) 2)
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(- (exp (neg (* -1 (log (/ 1 x))))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(- (exp (neg (* -1 (log (/ 1 x))))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(- (exp (neg (* -1 (log (/ 1 x))))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(- (exp (neg (* -1 (log (/ 1 x))))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(log (/ 1 x))
(neg.f64 (log.f64 x))
(log (/ 1 x))
(neg.f64 (log.f64 x))
(log (/ 1 x))
(neg.f64 (log.f64 x))
(log (/ 1 x))
(neg.f64 (log.f64 x))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2)
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2)
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2)
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
(pow (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)) 2)
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
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(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
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(expm1.f64 (neg.f64 (log.f64 x)))
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
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(neg.f64 (log.f64 x))
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(- (/ 1 x) (log -1))
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(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
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(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.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)))
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(- (/ 1 x) (log -1))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.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 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
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(+.f64 (log.f64 x) x)
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(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
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(* 1/2 (pow x 2))
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(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2)
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2)
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2)
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
(pow (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) 2)
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))

rewrite313.0ms (5%)

Memory
-9.4MiB live, 303.6MiB allocated
Rules
6 056×lower-fma.f32
6 052×lower-fma.f64
5 048×lower-*.f64
5 048×lower-*.f32
4 132×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023111
038101
114898
295291
0848491
Stop Event
iter limit
node limit
iter limit
Counts
14 → 659
Calls
Call 1
Inputs
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(expm1.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))))
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64))
Outputs
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eval242.0ms (3.8%)

Memory
44.7MiB live, 508.3MiB allocated
Compiler

Compiled 27 975 to 3 285 computations (88.3% saved)

prune32.0ms (0.5%)

Memory
-25.1MiB live, 99.8MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New1 34441 348
Fresh000
Picked145
Done011
Total1 34591 354
Accuracy
100.0%
Counts
1 354 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.4%
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))))
99.6%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.6%
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
99.0%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
97.6%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
2.3%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Compiler

Compiled 67 to 58 computations (13.4% saved)

simplify92.0ms (1.5%)

Memory
10.0MiB live, 47.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
cost-diff0
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
cost-diff1280
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))))
cost-diff12800
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))
cost-diff0
(+.f64 (log.f64 x) x)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
cost-diff128
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
cost-diff0
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Rules
728×lower-fma.f32
724×lower-fma.f64
360×lower-*.f32
352×lower-*.f64
204×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033199
048199
178195
2117186
3141186
4195186
5226186
6272186
7385186
8515186
9798186
101201186
111297186
121339186
131390186
141393186
01393180
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(+.f64 (log.f64 x) x)
(log.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))))
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))
(*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(expm1.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(literal -1 binary64)
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(+.f64 (log.f64 x) x)
(log.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(expm1.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(literal -1 binary64)

localize79.0ms (1.3%)

Memory
-20.0MiB live, 154.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 x)
accuracy0
(expm1.f64 (neg.f64 (log.f64 x)))
accuracy0
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))
accuracy0.00390625
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
accuracy0
(*.f64 x x)
accuracy0
(log.f64 x)
accuracy0.0078125
(+.f64 (log.f64 x) x)
accuracy0.19982361057042697
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
accuracy0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
accuracy0.19982361057042697
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
accuracy0.20522731525439775
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
accuracy0
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
accuracy0
(*.f64 x x)
accuracy0.19982361057042697
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
accuracy0.2008068606399918
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
Samples
62.0ms255×0invalid
0.0ms0valid
Compiler

Compiled 164 to 27 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-log: 14.0ms (34.7% of total)
ival-mult: 9.0ms (22.3% of total)
ival-add: 6.0ms (14.9% of total)
ival-div: 3.0ms (7.4% of total)
ival-expm1: 3.0ms (7.4% of total)
ival-neg: 3.0ms (7.4% of total)
ival-exp: 2.0ms (5% of total)
ival-sub: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series148.0ms (2.4%)

Memory
10.6MiB live, 201.8MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) (patch (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())
#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())
Outputs
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) (patch (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) (patch (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) (patch (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) (patch (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (patch (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) (taylor -inf x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) (taylor -inf x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) (taylor -inf x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)) (taylor -inf x) (#s(alt (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (patch (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1) (taylor -inf x) (#s(alt (expm1.f64 (neg.f64 (log.f64 x))) (patch (expm1.f64 (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
64.0ms
x
@0
((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (exp (* (log (neg (log (- (exp (neg (log x))) 1)))) -1)) (/ 1 (exp (* (log (neg (log (- (exp (neg (log x))) 1)))) -1))) (log (neg (log (- (exp (neg (log x))) 1)))) (neg (log (- (exp (neg (log x))) 1))) (log x) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1))
39.0ms
x
@inf
((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (exp (* (log (neg (log (- (exp (neg (log x))) 1)))) -1)) (/ 1 (exp (* (log (neg (log (- (exp (neg (log x))) 1)))) -1))) (log (neg (log (- (exp (neg (log x))) 1)))) (neg (log (- (exp (neg (log x))) 1))) (log x) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1))
36.0ms
x
@-inf
((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (exp (* (log (neg (log (- (exp (neg (log x))) 1)))) -1)) (/ 1 (exp (* (log (neg (log (- (exp (neg (log x))) 1)))) -1))) (log (neg (log (- (exp (neg (log x))) 1)))) (neg (log (- (exp (neg (log x))) 1))) (log x) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1))

simplify134.0ms (2.1%)

Memory
35.5MiB live, 189.5MiB allocated
Algorithm
egg-herbie
Rules
13 112×lower-fma.f64
13 112×lower-fma.f32
2 360×lower-*.f64
2 360×lower-*.f32
1 996×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0961477
12601366
25971363
321771360
459911360
081571210
Stop Event
iter limit
node limit
Counts
216 → 213
Calls
Call 1
Inputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ x (log x))
(+ x (log x))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/ -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(log (neg (log (- (exp (neg (log x))) 1))))
(log (neg (log (- (exp (neg (log x))) 1))))
(log (neg (log (- (exp (neg (log x))) 1))))
(log (neg (log (- (exp (neg (log x))) 1))))
(* -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(* -1 (log (- (exp (neg (log x))) 1)))
(log x)
(log x)
(log x)
(log x)
(log (- (exp (neg (log x))) 1))
(log (- (exp (neg (log x))) 1))
(log (- (exp (neg (log x))) 1))
(log (- (exp (neg (log x))) 1))
(- (exp (neg (log x))) 1)
(- (exp (neg (log x))) 1)
(- (exp (neg (log x))) 1)
(- (exp (neg (log x))) 1)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))))
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))))
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))))
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1))
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1))
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1))
(log (- (exp (neg (* -1 (log (/ 1 x))))) 1))
(- (exp (neg (* -1 (log (/ 1 x))))) 1)
(- (exp (neg (* -1 (log (/ 1 x))))) 1)
(- (exp (neg (* -1 (log (/ 1 x))))) 1)
(- (exp (neg (* -1 (log (/ 1 x))))) 1)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
x
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(/ -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))))
(log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))))
(log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))))
(log (neg (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(* -1 (log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))
(log (- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1))
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(/ -1 (log (- (exp (neg (log x))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (log x))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log (neg (log (- (exp (neg (log x))) 1))))
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log (neg (log (- (exp (neg (log x))) 1))))
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log (neg (log (- (exp (neg (log x))) 1))))
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log (neg (log (- (exp (neg (log x))) 1))))
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (log x))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log (- (exp (neg (log x))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log (- (exp (neg (log x))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log (- (exp (neg (log x))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log (- (exp (neg (log x))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(- (exp (neg (log x))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(- (exp (neg (log x))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(- (exp (neg (log x))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(- (exp (neg (log x))) 1)
(expm1.f64 (neg.f64 (log.f64 x)))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (log.f64 #s(literal -1 binary64))))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
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(+.f64 (log.f64 x) x)
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(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
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(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
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(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/ -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(/.f64 #s(literal -1 binary64) (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
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(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(* -1 (log (- (exp (neg (* -1 (log (/ 1 x))))) 1)))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))))
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))))
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))))
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log (neg (log (- (exp (neg (* -1 (log (/ 1 x))))) 1))))
(log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
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(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
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(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
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x
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(- (exp (neg (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
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rewrite234.0ms (3.7%)

Memory
-48.4MiB live, 244.8MiB allocated
Rules
10 366×lower-fma.f32
10 362×lower-fma.f64
5 350×lower-*.f32
5 342×lower-*.f64
3 692×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033172
048172
1163165
21087160
08753154
Stop Event
iter limit
node limit
iter limit
Counts
18 → 517
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
(+.f64 (log.f64 x) x)
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))))
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(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log.f64 x)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(expm1.f64 (neg.f64 (log.f64 x)))
Outputs
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eval138.0ms (2.2%)

Memory
7.1MiB live, 161.1MiB allocated
Compiler

Compiled 14 105 to 2 486 computations (82.4% saved)

prune34.0ms (0.5%)

Memory
-7.8MiB live, 75.8MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New7743777
Fresh000
Picked224
Done055
Total77610786
Accuracy
100.0%
Counts
786 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.4%
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))))
99.6%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.6%
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
99.0%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
97.6%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
2.3%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
Compiler

Compiled 73 to 62 computations (15.1% saved)

simplify45.0ms (0.7%)

Memory
14.7MiB live, 51.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
cost-diff0
(log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
cost-diff1280
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))))
cost-diff12800
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
cost-diff0
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
cost-diff0
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
Rules
704×lower-fma.f64
704×lower-fma.f32
352×lower-*.f32
344×lower-*.f64
200×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029182
040182
164181
293172
3130172
4199172
5231172
6257172
7274172
8321172
9411172
10480172
11594172
12724172
13813172
14879172
15916172
16926172
17930172
18933172
19935172
0935160
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))))
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))
(*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))
(log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
x
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))))
(neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
x

localize60.0ms (1%)

Memory
29.1MiB live, 66.9MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
accuracy0
(log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
accuracy0
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))
accuracy0.00390625
(log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
accuracy0
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.19982361057042697
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
accuracy0.2008068606399918
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
accuracy0.00390625
(*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)
accuracy0.19636959674721394
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
accuracy0.19982361057042697
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
accuracy0.20522731525439775
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))
Samples
42.0ms255×0invalid
0.0ms0valid
Compiler

Compiled 126 to 24 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-log: 10.0ms (32.8% of total)
ival-mult: 6.0ms (19.7% of total)
ival-div: 5.0ms (16.4% of total)
ival-exp: 2.0ms (6.6% of total)
ival-add: 2.0ms (6.6% of total)
ival-sub: 2.0ms (6.6% of total)
ival-neg: 2.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-15.2MiB live, 22.3MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) (patch (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) (patch (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())
#s(alt (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (patch (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
Outputs
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- (* -1 (/ (+ (/ 1/2 (* x (pow (log -1) 2))) (+ (/ 1 (* x (pow (log -1) 3))) (/ 1 (pow (log -1) 2)))) x)) (/ 1 (log -1))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/3 (/ 1 (pow (log -1) 2))) (* 1/2 (/ 1 (pow (log -1) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3))) (log -1)))) x)) (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3)))) x)) (/ 1 (pow (log -1) 2))) x)) (/ 1 (log -1))) (taylor -inf x) (#s(alt (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log -1)) (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log -1)) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log -1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log (neg (log -1))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) (patch (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (- (log (neg (log -1))) (/ 1 (* x (log -1)))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) (patch (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (neg (log -1))) (* -1 (/ (+ (* 1/2 (/ (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2))) x)) (/ 1 (log -1))) x))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) (patch (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (+ (log (neg (log -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2)))) (* -1/6 (/ (+ (* 2 (/ 1 (log -1))) (+ (* 3 (/ 1 (pow (log -1) 2))) (* 2 (/ 1 (pow (log -1) 3))))) x))) x)) (/ 1 (log -1))) x))) (taylor -inf x) (#s(alt (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) (patch (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) (patch (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) (patch (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) (patch (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) (patch (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (patch (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (/ 1 x)) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (patch (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (patch (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (patch (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@0
((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* 1/2 x) x) (* 1/2 x) (exp (* (log (neg (log (- -1 (/ -1 x))))) -1)) (/ 1 (exp (* (log (neg (log (- -1 (/ -1 x))))) -1))) (log (neg (log (- -1 (/ -1 x))))) (neg (log (- -1 (/ -1 x)))) (log (- -1 (/ -1 x))))
2.0ms
x
@inf
((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* 1/2 x) x) (* 1/2 x) (exp (* (log (neg (log (- -1 (/ -1 x))))) -1)) (/ 1 (exp (* (log (neg (log (- -1 (/ -1 x))))) -1))) (log (neg (log (- -1 (/ -1 x))))) (neg (log (- -1 (/ -1 x)))) (log (- -1 (/ -1 x))))
2.0ms
x
@-inf
((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (+ (* 1/2 x) 1) x) (+ (* 1/2 x) 1) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* 1/2 x) x) (* 1/2 x) (exp (* (log (neg (log (- -1 (/ -1 x))))) -1)) (/ 1 (exp (* (log (neg (log (- -1 (/ -1 x))))) -1))) (log (neg (log (- -1 (/ -1 x))))) (neg (log (- -1 (/ -1 x)))) (log (- -1 (/ -1 x))))

simplify195.0ms (3.1%)

Memory
4.0MiB live, 239.5MiB allocated
Algorithm
egg-herbie
Rules
8 702×lower-fma.f64
8 702×lower-fma.f32
4 546×lower-*.f64
4 546×lower-*.f32
2 986×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411643
16621569
216991544
367181534
081281465
Stop Event
iter limit
node limit
Counts
156 → 155
Calls
Call 1
Inputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* 1/2 x)))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ 1 (log x))
(+ (* -1 (/ x (pow (log x) 2))) (/ 1 (log x)))
(+ (* x (- (* x (- (/ 1 (pow (log x) 3)) (* 1/2 (/ 1 (pow (log x) 2))))) (/ 1 (pow (log x) 2)))) (/ 1 (log x)))
(+ (* x (- (* x (- (+ (* x (- (/ 1 (pow (log x) 3)) (+ (* 1/3 (/ 1 (pow (log x) 2))) (/ 1 (pow (log x) 4))))) (/ 1 (pow (log x) 3))) (* 1/2 (/ 1 (pow (log x) 2))))) (/ 1 (pow (log x) 2)))) (/ 1 (log x)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(log (neg (* -1 (log x))))
(+ (log (neg (* -1 (log x)))) (/ x (log x)))
(+ (log (neg (* -1 (log x)))) (* x (+ (* 1/2 (* x (- (/ 1 (log x)) (/ 1 (pow (log x) 2))))) (/ 1 (log x)))))
(+ (log (neg (* -1 (log x)))) (* x (+ (* x (+ (* 1/6 (* x (- (+ (* 2 (/ 1 (log x))) (* 2 (/ 1 (pow (log x) 3)))) (* 3 (/ 1 (pow (log x) 2)))))) (* 1/2 (- (/ 1 (log x)) (/ 1 (pow (log x) 2)))))) (/ 1 (log x)))))
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(* -1 (log x))
(+ (* -1 x) (* -1 (log x)))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ -1 (log -1))
(* -1 (+ (/ 1 (log -1)) (/ 1 (* x (pow (log -1) 2)))))
(- (* -1 (/ (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3))) (pow x 2))) (+ (/ 1 (log -1)) (/ 1 (* x (pow (log -1) 2)))))
(- (* -1 (/ (+ (* 1/3 (/ 1 (pow (log -1) 2))) (+ (/ 1 (pow (log -1) 3)) (/ 1 (pow (log -1) 4)))) (pow x 3))) (+ (/ 1 (log -1)) (+ (/ 1 (* x (pow (log -1) 2))) (+ (* 1/2 (/ 1 (* (pow x 2) (pow (log -1) 2)))) (/ 1 (* (pow x 2) (pow (log -1) 3)))))))
(* -1 (log -1))
(+ (* -1 (log -1)) (/ 1 x))
(+ (* -1 (log -1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+ (* -1 (log -1)) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))
(log (neg (log -1)))
(- (log (neg (log -1))) (/ 1 (* x (log -1))))
(- (+ (log (neg (log -1))) (* -1/2 (/ (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2))) (pow x 2)))) (/ 1 (* x (log -1))))
(- (+ (log (neg (log -1))) (+ (* -1/2 (/ (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2))) (pow x 2))) (* -1/6 (/ (+ (* 2 (/ 1 (log -1))) (+ (* 3 (/ 1 (pow (log -1) 2))) (* 2 (/ 1 (pow (log -1) 3))))) (pow x 3))))) (/ 1 (* x (log -1))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ -1 (log -1))
(* -1 (+ (/ 1 (log -1)) (/ 1 (* x (pow (log -1) 2)))))
(- (* -1 (/ (+ (/ 1/2 (* x (pow (log -1) 2))) (+ (/ 1 (* x (pow (log -1) 3))) (/ 1 (pow (log -1) 2)))) x)) (/ 1 (log -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/3 (/ 1 (pow (log -1) 2))) (* 1/2 (/ 1 (pow (log -1) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3))) (log -1)))) x)) (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3)))) x)) (/ 1 (pow (log -1) 2))) x)) (/ 1 (log -1)))
(* -1 (log -1))
(+ (* -1 (log -1)) (/ 1 x))
(+ (* -1 (log -1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+ (* -1 (log -1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))
(log (neg (log -1)))
(- (log (neg (log -1))) (/ 1 (* x (log -1))))
(+ (log (neg (log -1))) (* -1 (/ (+ (* 1/2 (/ (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2))) x)) (/ 1 (log -1))) x)))
(+ (log (neg (log -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2)))) (* -1/6 (/ (+ (* 2 (/ 1 (log -1))) (+ (* 3 (/ 1 (pow (log -1) 2))) (* 2 (/ 1 (pow (log -1) 3))))) x))) x)) (/ 1 (log -1))) x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(log -1)
(- (log -1) (/ 1 x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
x
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
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(-.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)) x))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/3 (/ 1 (pow (log -1) 2))) (* 1/2 (/ 1 (pow (log -1) 3)))) (* -1 (/ (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3))) (log -1)))) x)) (+ (* 1/2 (/ 1 (pow (log -1) 2))) (/ 1 (pow (log -1) 3)))) x)) (/ 1 (pow (log -1) 2))) x)) (/ 1 (log -1)))
(-.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x)) x))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(+ (* -1 (log -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(+ (* -1 (log -1)) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(+ (* -1 (log -1)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (log.f64 #s(literal -1 binary64)))
(log (neg (log -1)))
(log.f64 (neg.f64 (log.f64 #s(literal -1 binary64))))
(- (log (neg (log -1))) (/ 1 (* x (log -1))))
(-.f64 (log.f64 (neg.f64 (log.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) x))
(+ (log (neg (log -1))) (* -1 (/ (+ (* 1/2 (/ (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2))) x)) (/ 1 (log -1))) x)))
(-.f64 (log.f64 (neg.f64 (log.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64)))) x))
(+ (log (neg (log -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (/ 1 (log -1)) (/ 1 (pow (log -1) 2)))) (* -1/6 (/ (+ (* 2 (/ 1 (log -1))) (+ (* 3 (/ 1 (pow (log -1) 2))) (* 2 (/ 1 (pow (log -1) 3))))) x))) x)) (/ 1 (log -1))) x)))
(-.f64 (log.f64 (neg.f64 (log.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (log.f64 #s(literal -1 binary64)))) x) #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x)) x))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) (log.f64 #s(literal -1 binary64)))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (/ 1 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))

rewrite354.0ms (5.6%)

Memory
6.8MiB live, 216.2MiB allocated
Rules
6 556×lower-fma.f64
6 556×lower-fma.f32
3 406×lower-*.f32
3 398×lower-*.f64
2 594×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029157
040157
1132153
2793148
08482129
Stop Event
iter limit
node limit
iter limit
Counts
13 → 233
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))))
(log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
Outputs
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eval43.0ms (0.7%)

Memory
0.7MiB live, 82.4MiB allocated
Compiler

Compiled 5 887 to 1 261 computations (78.6% saved)

prune29.0ms (0.5%)

Memory
-13.9MiB live, 61.5MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New3880388
Fresh000
Picked033
Done077
Total38810398
Accuracy
100.0%
Counts
398 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.4%
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))))
99.6%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.6%
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
99.0%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
97.6%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
2.3%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
Compiler

Compiled 182 to 115 computations (36.8% saved)

regimes23.0ms (0.4%)

Memory
4.7MiB live, 43.4MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) (neg.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal 2 binary64)))))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Calls

5 calls:

5.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.0ms
(/.f64 #s(literal 1 binary64) x)
4.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
4.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.6%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
99.6%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
99.6%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes38.0ms (0.6%)

Memory
-21.0MiB live, 23.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
Calls

5 calls:

24.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms
x
3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.3%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
99.3%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
99.3%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes15.0ms (0.2%)

Memory
21.7MiB live, 21.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
Calls

5 calls:

3.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.3%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
99.3%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
99.3%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes29.0ms (0.5%)

Memory
-18.0MiB live, 20.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
Calls

5 calls:

18.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms
x
Results
AccuracySegmentsBranch
99.0%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
99.0%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
99.0%1(/.f64 #s(literal 1 binary64) x)
99.0%1x
99.0%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes13.0ms (0.2%)

Memory
19.0MiB live, 19.0MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Calls

5 calls:

2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
x
Results
AccuracySegmentsBranch
97.6%1x
97.6%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
97.6%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
97.6%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
97.6%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes57.0ms (0.9%)

Memory
-20.7MiB live, 17.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
Calls

5 calls:

48.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms
x
Results
AccuracySegmentsBranch
2.7%1x
2.7%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.7%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.7%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.7%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes7.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
Calls

5 calls:

1.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
1.0ms
(/.f64 #s(literal 1 binary64) x)
1.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
1.0ms
x
Results
AccuracySegmentsBranch
2.3%1x
2.3%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.3%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.3%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.3%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify68.0ms (1.1%)

Memory
-4.2MiB live, 34.7MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative-binary64-*.f64
10×neg-mul-1-binary64-*.f64-neg.f64
+-commutative-binary64-+.f64
unsub-neg-binary64--.f64-neg.f64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034114
146114
251114
357114
464114
573114
Stop Event
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) x)))

soundness1.8s (28%)

Memory
17.0MiB live, 643.3MiB allocated
Rules
13 130×lower-fma.f64
13 130×lower-fma.f32
13 112×lower-fma.f64
13 112×lower-fma.f32
10 366×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0941153
12661052
26041049
322071046
460511046
08239933
0961477
12601366
25971363
321771360
459911360
081571210
023111
038101
114898
295291
0848491
075313
1190292
2397290
3968280
41971278
54221278
65618278
75789278
85802278
95802278
105802278
115977278
126010278
136010278
06010270
033172
048172
1163165
21087160
08753154
Stop Event
done
iter limit
node limit
iter limit
iter limit
saturated
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 106 to 74 computations (30.2% saved)

preprocess86.0ms (1.4%)

Memory
7.6MiB live, 180.1MiB allocated
Compiler

Compiled 108 to 62 computations (42.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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