neg log

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
1×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)

sample658.0ms (11.4%)

Memory
74.8MiB live, 829.9MiB allocated
Samples
395.0ms8 256×0valid
1.0ms16×0invalid
Precisions
Click to see histograms. Total time spent on operations: 265.0ms
ival-log: 102.0ms (38.4% of total)
ival-div: 75.0ms (28.3% of total)
ival-sub: 41.0ms (15.4% of total)
ival-neg: 34.0ms (12.8% of total)
ival-true: 5.0ms (1.9% of total)
exact: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain94.0ms (1.6%)

Memory
-10.8MiB live, 114.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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-(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
28.0ms512×0valid
Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-log: 6.0ms (37% of total)
ival-div: 4.0ms (24.6% of total)
ival-sub: 2.0ms (12.3% of total)
ival-neg: 2.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess44.0ms (0.8%)

Memory
-23.0MiB live, 15.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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))))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify5.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
1×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
8×sub-neg
8×lower--.f32
6×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
01023
11723
22023
32223
42423
52823
63323
03323
Stop Event
1×iter limit
1×saturated
1×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))))
(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)))
(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 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

localize21.0ms (0.4%)

Memory
23.5MiB live, 23.5MiB 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
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
Samples
14.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 3.0ms (37.7% of total)
ival-div: 2.0ms (25.2% of total)
ival-sub: 1.0ms (12.6% of total)
ival-neg: 1.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-34.0MiB live, 4.5MiB 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 -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 (* -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 (* -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 (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 (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 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 (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 (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 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 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 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

12 calls:

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

simplify258.0ms (4.5%)

Memory
17.9MiB live, 168.3MiB allocated
Algorithm
1×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
3962280
41965278
54210278
65604278
75777278
85792278
95792278
105792278
115967278
125993278
135993278
05993270
Stop Event
1×iter limit
1×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 -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))
(- (/ 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 (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)))
(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))
(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 x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
(/ (+ 1 (* -1 x)) x)
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
-1
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(- (/ 1 x) 1)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 x (log.f64 x))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 binary64) (/.f64 #s(literal 1/2 binary64) x)) 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) (log.f64 #s(literal -1 binary64)))
(* -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 binary64) (/.f64 #s(literal 1/2 binary64) x)) 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 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) (log.f64 #s(literal -1 binary64)))
(* -1 (log x))
(neg.f64 (log.f64 x))
(+ (* -1 x) (* -1 (log x)))
(-.f64 (neg.f64 x) (log.f64 x))
(+ (* -1 (log x)) (* x (- (* -1/2 x) 1)))
(-.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (log.f64 x))
(+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))
(-.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (log.f64 x))
(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 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))
(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 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* -1 x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.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 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 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 x)
(/.f64 #s(literal 1 binary64) x)

rewrite332.0ms (5.8%)

Memory
-11.3MiB live, 285.4MiB 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
1×iter limit
1×node limit
1×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
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(+.f64 (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(+.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))
(+.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))))
(+.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (log.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(+.f64 (log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))) (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64)))) (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(-.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(-.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))) (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(-.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (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 (log.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (log.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))) (log.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
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(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))
(exp.f64 (neg.f64 (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.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)
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.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) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))

eval55.0ms (1%)

Memory
-10.2MiB live, 112.6MiB allocated
Compiler

Compiled 11 114 to 1 317 computations (88.2% saved)

prune56.0ms (1%)

Memory
33.0MiB live, 154.0MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3903393
Fresh000
Picked011
Done000
Total3904394
Accuracy
100.0%
Counts
394 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
▶98.9%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
▶98.3%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Compiler

Compiled 28 to 17 computations (39.3% saved)

simplify8.0ms (0.1%)

Memory
-18.9MiB live, 17.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 x)
cost-diff0
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
cost-diff0
(log.f64 x)
cost-diff0
(+.f64 x (log.f64 x))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
cost-diff0
(log.f64 x)
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Rules
68×lower-fma.f32
64×lower-fma.f64
46×lower-*.f64
46×lower-*.f32
40×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01465
02065
13865
25465
37865
48065
58465
68965
08965
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
(+.f64 x (log.f64 x))
x
(log.f64 x)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
x
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log.f64 x)
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
(+.f64 x (log.f64 x))
x
(log.f64 x)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
x
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log.f64 x)

localize46.0ms (0.8%)

Memory
-2.5MiB live, 119.4MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy0
(log.f64 x)
accuracy0.00390625
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
accuracy0.4662631095550014
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
accuracy0
(log.f64 x)
accuracy0.0078125
(+.f64 x (log.f64 x))
accuracy0.6843000673608576
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
accuracy0
(log.f64 x)
accuracy1.1172900362038245
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Samples
31.0ms256×0valid
Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 9.0ms (44.5% of total)
ival-add: 3.0ms (14.8% of total)
ival-mult: 3.0ms (14.8% of total)
ival-div: 2.0ms (9.9% of total)
ival-sub: 1.0ms (4.9% of total)
ival-neg: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (1.1%)

Memory
1.5MiB live, 116.4MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#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 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) #<representation binary64>) () ())
#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#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 (* -1 (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 (- (/ 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 (- (+ (/ 1/2 (pow x 2)) (/ 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 (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (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 (* -1 (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 (- (/ 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 (- (+ (/ 1/2 (pow x 2)) (/ 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 (- (* -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 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 (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -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 -1) (* -1 (log (/ -1 x)))) (taylor -inf 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 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 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))) (+.f64 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 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))) (+.f64 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 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))) (+.f64 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 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))) (+.f64 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 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))) (+.f64 x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (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 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (patch (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

21 calls:

TimeVariablePointExpression
31.0ms
x
@0
(log x)
19.0ms
x
@-inf
(log x)
8.0ms
x
@inf
(log x)
0.0ms
x
@-inf
(+ (* x (+ (* x 1/2) 1)) (log x))
0.0ms
x
@inf
(+ (* x (+ (* x 1/2) 1)) (log x))

simplify231.0ms (4%)

Memory
-13.8MiB live, 231.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 672×lower-fma.f64
9 672×lower-fma.f32
3 982×lower-*.f64
3 982×lower-*.f32
1 328×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072632
1215597
2504586
31978563
46350554
08292516
Stop Event
1×iter limit
1×node limit
Counts
84 → 82
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 -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))
(- (/ 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 x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (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 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 -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))
(- (/ 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 x)
(+ x (log x))
(+ x (log x))
(+ x (log x))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
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)))
(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 -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))
(- (/ 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 x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 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))))
(* 1/2 (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
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 x (log.f64 x))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64)))
(* -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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (*.f64 x (neg.f64 x))) (log.f64 #s(literal -1 binary64)))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log 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 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 x (log.f64 x))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64)))
(* -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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (*.f64 x (neg.f64 x))) (log.f64 #s(literal -1 binary64)))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 x (log.f64 x))
(+ x (log x))
(+.f64 x (log.f64 x))
(+ x (log x))
(+.f64 x (log.f64 x))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 x (log.f64 x))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 x (log.f64 x))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 x (log.f64 x))
x
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(+.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(+.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(+.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 x (log.f64 x))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64)))
(* -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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (*.f64 x (neg.f64 x))) (log.f64 #s(literal -1 binary64)))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))

rewrite286.0ms (5%)

Memory
39.7MiB live, 423.3MiB allocated
Rules
6 818×lower-fma.f32
6 814×lower-fma.f64
4 584×lower-*.f64
4 584×lower-*.f32
3 512×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
02056
19156
267556
3782556
0836453
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 261
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
(+.f64 x (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
(+.f64 x (log.f64 x))
(+.f64 (log.f64 x) x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)))
(fma.f64 #s(literal 1 binary64) x (log.f64 x))
(fma.f64 x #s(literal 1 binary64) (log.f64 x))
(fma.f64 x (/.f64 x (-.f64 x (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (log.f64 x))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (log.f64 x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 x (log.f64 x)) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (neg.f64 x) (log.f64 x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 x (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log.f64 x) x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (neg.f64 x) (log.f64 x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (*.f64 (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (*.f64 (-.f64 x (log.f64 x)) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (log.f64 x) x))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (-.f64 x (log.f64 x)) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (*.f64 (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 x (log.f64 x)) (-.f64 x (log.f64 x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64))) (-.f64 x (log.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x (log.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 x) (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (*.f64 x x) (-.f64 x (log.f64 x)))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))) (fma.f64 x (/.f64 x (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x (log.f64 x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))
(*.f64 (+.f64 x (log.f64 x)) (*.f64 (-.f64 x (log.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))))
(*.f64 (+.f64 x (log.f64 x)) (/.f64 (-.f64 x (log.f64 x)) (-.f64 x (log.f64 x))))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x)))))
(*.f64 (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))) (*.f64 (+.f64 x (log.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))))))
(*.f64 (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))) (/.f64 (+.f64 x (log.f64 x)) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x))))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (log.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x)))) (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 x (log.f64 x)))
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(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/16 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/16 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/16 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))) (fma.f64 x (/.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/16 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64)))) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/16 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

eval93.0ms (1.6%)

Memory
-15.4MiB live, 158.4MiB allocated
Compiler

Compiled 9 236 to 752 computations (91.9% saved)

prune45.0ms (0.8%)

Memory
5.7MiB live, 127.8MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3832385
Fresh000
Picked033
Done011
Total3836389
Accuracy
100.0%
Counts
389 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))))
✓99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓98.9%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓98.3%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
Compiler

Compiled 47 to 27 computations (42.6% saved)

simplify11.0ms (0.2%)

Memory
-23.0MiB live, 13.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x (log.f64 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 x (log.f64 x))))
cost-diff128
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
Rules
68×lower-fma.f32
66×lower-fma.f64
46×lower-*.f32
40×lower-*.f64
40×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02187
02888
15285
26285
38485
48685
59085
69585
09581
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(+.f64 x (log.f64 x))
(log.f64 x)
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(+.f64 x (log.f64 x))
(log.f64 x)

localize63.0ms (1.1%)

Memory
6.8MiB live, 82.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 x)
accuracy0.0078125
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))
accuracy0.0078125
(+.f64 x (log.f64 x))
accuracy0.4662631095550014
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))))
accuracy0
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
accuracy0
(*.f64 x #s(literal 1/2 binary64))
accuracy0.4662631095550014
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
accuracy62.2674712686079
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
Samples
39.0ms256×0valid
Compiler

Compiled 57 to 19 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 14.0ms (45.9% of total)
ival-log: 7.0ms (22.9% of total)
ival-add: 4.0ms (13.1% of total)
ival-div: 2.0ms (6.6% of total)
ival-sub: 1.0ms (3.3% of total)
ival-neg: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
Outputs
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#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (patch (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (log x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))) #<representation binary64>) () ())) ())
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#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 x (log.f64 x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 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 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 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 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 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 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 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 (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ (log (/ 1 x)) x)))) (taylor inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (log.f64 x)) (patch (+.f64 x (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 (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -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 -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
Calls

27 calls:

TimeVariablePointExpression
0.0ms
x
@0
(* x (* x 1/2))
0.0ms
x
@-inf
(* x 1/2)
0.0ms
x
@inf
(* x (* x 1/2))
0.0ms
x
@inf
(* x 1/2)
0.0ms
x
@inf
(* x x)

simplify336.0ms (5.8%)

Memory
-1.5MiB live, 319.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 448×lower-fma.f64
8 448×lower-fma.f32
2 606×lower-*.f64
2 606×lower-*.f32
1 848×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071730
1208693
2501675
31456647
44161620
08081582
Stop Event
1×iter limit
1×node limit
Counts
108 → 106
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 -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))
(- (/ 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 x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 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))))
(* 1/2 (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 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 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)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 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))
(* (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 (/ (- (* -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))))
(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 -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))
(- (/ 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(log x)
(+ x (log x))
(+ x (log x))
(+ x (log x))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
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)))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 x (log.f64 x))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (log.f64 #s(literal -1 binary64))))
(* -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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (log.f64 #s(literal -1 binary64))))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 x (log.f64 x))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (log.f64 #s(literal -1 binary64))))
(* -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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (log.f64 #s(literal -1 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)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(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 (log x))
(+.f64 x (log.f64 x))
(+ x (log x))
(+.f64 x (log.f64 x))
(+ x (log x))
(+.f64 x (log.f64 x))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 x (log.f64 x))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 x (log.f64 x))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 x (log.f64 x))
x
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 #s(literal -1 binary64)) x))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 #s(literal -1 binary64)) x))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 #s(literal -1 binary64)) x))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log 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 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))

rewrite287.0ms (5%)

Memory
36.4MiB live, 531.9MiB allocated
Rules
11 280×lower-fma.f32
11 278×lower-fma.f64
5 602×lower-*.f32
5 596×lower-*.f64
3 954×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02183
02884
111881
287981
0880275
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 217
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))))
(*.f64 x x)
(+.f64 x (log.f64 x))
(log.f64 x)
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 x (+.f64 (log.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (log.f64 x)))
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) (log.f64 x))
(+.f64 (log.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))
(+.f64 (+.f64 x (log.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x (log.f64 x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 x)))) (neg.f64 (/.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))))
(+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 x (log.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 x (log.f64 x))))))
(+.f64 (+.f64 (log.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (log.f64 x)) x)
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 x)))) (/.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 x)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 x (log.f64 x)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) (-.f64 (log.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (+.f64 (log.f64 x) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (+.f64 (log.f64 x) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x x) (-.f64 x (log.f64 x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))
(fma.f64 #s(literal 1 binary64) x (+.f64 (log.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (log.f64 x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) (log.f64 x))
(fma.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x (log.f64 x)))
(fma.f64 x #s(literal 1 binary64) (+.f64 (log.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (log.f64 x)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 x (log.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 x (log.f64 x)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) (log.f64 x))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (+.f64 x (log.f64 x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x)))
(fma.f64 (+.f64 x (log.f64 x)) (*.f64 (-.f64 x (log.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64) (+.f64 x (log.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (+.f64 (log.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (log.f64 x)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (+.f64 (log.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (log.f64 x)))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) x) (log.f64 x))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 x (log.f64 x)))) (neg.f64 (/.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))))
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (log.f64 x))))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)) (*.f64 (+.f64 x (log.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 x (log.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 x (log.f64 x))))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x) (log.f64 x))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (log.f64 x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))) (log.f64 x))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (log.f64 x))
(fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (log.f64 x))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (log.f64 x))
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (log.f64 x))
(fma.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (log.f64 x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (+.f64 (log.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (log.f64 x)))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (+.f64 x (log.f64 x)) (+.f64 (log.f64 x) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64))))))))))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (+.f64 x (log.f64 x)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))))))
(neg.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 x (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 3 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (+.f64 x (log.f64 x)) (+.f64 (log.f64 x) (-.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x (log.f64 x)) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (log.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) (fma.f64 x (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (log.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 x (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (log.f64 x) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (*.f64 (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (log.f64 x)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (neg.f64 x) (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (log.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (*.f64 x x) (-.f64 x (log.f64 x)))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 x (log.f64 x)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x (log.f64 x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))
(*.f64 (+.f64 x (log.f64 x)) (*.f64 (-.f64 x (log.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x)))))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (log.f64 x))))))
(*.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)) (*.f64 (+.f64 x (log.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x)))
(log.f64 x)
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(neg.f64 (neg.f64 (log.f64 x)))

eval70.0ms (1.2%)

Memory
-29.0MiB live, 119.6MiB allocated
Compiler

Compiled 7 421 to 645 computations (91.3% saved)

prune37.0ms (0.6%)

Memory
3.1MiB live, 81.2MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New3212323
Fresh000
Picked022
Done044
Total3218329
Accuracy
100.0%
Counts
329 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))))
✓99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓98.9%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓98.3%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
▶2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
▶2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
Compiler

Compiled 67 to 39 computations (41.8% saved)

simplify171.0ms (3%)

Memory
-11.3MiB live, 30.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
cost-diff1088
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
cost-diff1088
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
Rules
644×lower-fma.f64
644×lower-fma.f32
292×lower-*.f32
288×lower-*.f64
176×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021122
026108
149108
270108
3107108
4116108
5126108
6138108
7158108
8242108
9440108
10618108
11696108
12728108
13745108
14758108
15761108
0761100
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
x
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize49.0ms (0.8%)

Memory
1.3MiB live, 77.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 1/2 binary64))
accuracy0.12890625
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy0.4662631095550014
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
accuracy62.2674712686079
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
accuracy0
(*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
accuracy0.16015625
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy0.4662631095550014
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
accuracy62.2674712686079
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
Samples
31.0ms256×0valid
Compiler

Compiled 70 to 17 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 6.0ms (27.5% of total)
ival-div: 5.0ms (22.9% of total)
ival-mult: 4.0ms (18.3% of total)
ival-add: 2.0ms (9.2% of total)
ival-sub: 2.0ms (9.2% of total)
ival-neg: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 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 #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) 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 #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ (* x 1/2) (/ 1 x))
0.0ms
x
@0
(/ 1/2 (/ 1 x))
0.0ms
x
@-inf
(/ 1/2 (/ 1 x))
0.0ms
x
@0
(neg (log (- (/ 1 x) 1)))
0.0ms
x
@inf
(/ 1/2 (/ 1 x))

simplify184.0ms (3.2%)

Memory
23.4MiB live, 213.8MiB allocated
Algorithm
1×egg-herbie
Rules
9 302×lower-fma.f64
9 302×lower-fma.f32
3 400×lower-*.f64
3 400×lower-*.f32
1 510×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064656
1181632
2439618
31205608
44346596
08235558
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 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)))
(* -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))
(- (/ 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 x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 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))))
(* 1/2 (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 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (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)))
(* -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))
(- (/ 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 x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 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))))
(* 1/2 (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)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 x (log.f64 x))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64)))
(* -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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x 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 x x)) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (log.f64 #s(literal -1 binary64)))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 x (log.f64 x))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64)))
(* -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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x 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 x x)) (+.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) (log.f64 #s(literal -1 binary64)))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)

rewrite226.0ms (3.9%)

Memory
-8.8MiB live, 293.9MiB allocated
Rules
7 592×lower-fma.f64
7 592×lower-fma.f32
4 224×lower-*.f32
4 220×lower-*.f64
3 466×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021110
02696
110596
270696
0828686
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 118
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x #s(literal 1/2 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))

eval31.0ms (0.5%)

Memory
-16.3MiB live, 34.2MiB allocated
Compiler

Compiled 2 021 to 160 computations (92.1% saved)

prune21.0ms (0.4%)

Memory
3.0MiB live, 41.1MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New2113214
Fresh000
Picked112
Done066
Total21210222
Accuracy
100.0%
Counts
222 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))))
✓99.3%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
✓98.9%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
✓98.3%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
✓2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
✓2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
Compiler

Compiled 174 to 75 computations (56.9% saved)

regimes21.0ms (0.4%)

Memory
0.8MiB live, 38.8MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))))
(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))))
Calls

5 calls:

5.0ms
x
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
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
100.0%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
100.0%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
100.0%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes19.0ms (0.3%)

Memory
36.8MiB live, 36.8MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x (log.f64 x))))
Calls

5 calls:

4.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
4.0ms
(/.f64 #s(literal 1 binary64) x)
4.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
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 27 to 19 computations (29.6% saved)

regimes19.0ms (0.3%)

Memory
-0.9MiB live, 36.9MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
Calls

5 calls:

5.0ms
(/.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
(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
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 27 to 19 computations (29.6% saved)

regimes22.0ms (0.4%)

Memory
-10.1MiB live, 29.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
Calls

5 calls:

9.0ms
(/.f64 #s(literal 1 binary64) x)
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
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
98.9%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
98.9%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
98.9%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
98.9%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes18.0ms (0.3%)

Memory
-2.3MiB live, 34.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #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:

6.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
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
x
Results
AccuracySegmentsBranch
98.3%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
98.3%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
98.3%1(/.f64 #s(literal 1 binary64) x)
98.3%1x
98.3%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes15.0ms (0.3%)

Memory
-9.6MiB live, 27.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
Calls

5 calls:

3.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
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 27 to 19 computations (29.6% saved)

regimes10.0ms (0.2%)

Memory
21.7MiB live, 21.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
Calls

5 calls:

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

Compiled 27 to 19 computations (29.6% saved)

simplify8.0ms (0.1%)

Memory
-23.7MiB live, 13.7MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
10×neg-mul-1_binary64
8×unsub-neg_binary64
8×+-commutative_binary64
6×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035112
146112
251112
357112
464112
573112
Stop Event
1×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 x (log.f64 x))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(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 x (log.f64 x))))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* x (+ (* x 1/2) 1)) (log x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))

soundness1.8s (30.7%)

Memory
7.5MiB live, 608.2MiB allocated
Rules
11 280×lower-fma.f32
11 278×lower-fma.f64
9 672×lower-fma.f64
9 672×lower-fma.f32
7 592×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02183
02884
111881
287981
0880275
072632
1215597
2504586
31978563
46350554
08292516
075313
1190292
2397290
3962280
41965278
54210278
65604278
75777278
85792278
95792278
105792278
115967278
125993278
135993278
05993270
021110
02696
110596
270696
0828686
01456
02056
19156
267556
3782556
0836453
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 125 to 66 computations (47.2% saved)

preprocess59.0ms (1%)

Memory
20.6MiB live, 104.3MiB allocated
Compiler

Compiled 118 to 50 computations (57.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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