neg log

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample683.0ms (12.9%)

Memory
39.2MiB live, 879.5MiB allocated
Samples
459.0ms8 256×0valid
1.0ms18×0invalid
Precisions
Click to see histograms. Total time spent on operations: 302.0ms
ival-log: 113.0ms (37.5% of total)
ival-div: 71.0ms (23.5% of total)
ival-neg: 62.0ms (20.6% of total)
ival-sub: 43.0ms (14.3% of total)
ival-true: 6.0ms (2% of total)
exact: 4.0ms (1.3% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain87.0ms (1.6%)

Memory
15.9MiB live, 92.9MiB 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: 7.0ms (43.1% of total)
ival-div: 4.0ms (24.7% 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)

preprocess17.0ms (0.3%)

Memory
-21.3MiB live, 16.8MiB allocated
Algorithm
egg-herbie
Rules
26×sub-neg
16×+-commutative
12×lower-+.f64
12×lower-+.f32
12×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 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
0.9MiB live, 0.9MiB 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)

simplify4.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize18.0ms (0.3%)

Memory
13.8MiB live, 13.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
accuracy0.00390625
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
accuracy0.00390625
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
Samples
13.0ms256×0valid
Compiler

Compiled 25 to 8 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 3.0ms (37.9% of total)
ival-div: 2.0ms (25.3% 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)

series3.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (log x) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log x)) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* -1 (log x))) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log x)) (* x (- (* -1/2 x) 1))) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log x)) (* x (- (* x (- (* -1/3 x) 1/2)) 1))) (taylor 0 x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1)) (taylor inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2)))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (patch (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (log -1) (/ 1 x)) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (patch (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (patch (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify223.0ms (4.2%)

Memory
-12.2MiB live, 99.0MiB allocated
Algorithm
egg-herbie
Rules
5 216×lower-fma.f64
5 216×lower-fma.f32
1 376×lower-*.f64
1 376×lower-*.f32
944×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite397.0ms (7.5%)

Memory
-19.7MiB live, 195.7MiB allocated
Rules
3 528×lower-fma.f64
3 528×lower-fma.f32
2 728×lower-/.f32
2 726×lower-/.f64
1 996×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621
01021
13821
223621
3250421
0927918
Stop Event
iter limit
node limit
iter limit
Counts
4 → 345
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(*.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (log1p.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 #s(literal -1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))))))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (neg.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))))))))
(/.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))))
(neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log1p.f64 (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (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) x))) #s(literal 0 binary64))
(fma.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64) #s(literal 0 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 x))))) (log1p.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (log1p.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #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 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))
(-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (fma.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 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))) (log.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.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) x)) #s(literal 1 binary64)))) (log.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) (log.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (fma.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 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))))) (log.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.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 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
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(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x 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)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x 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)))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x 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)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x 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)))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 x x))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal -1 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 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.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 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.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))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (exp.f64 (log.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)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))

eval62.0ms (1.2%)

Memory
37.5MiB live, 119.0MiB allocated
Compiler

Compiled 11 114 to 1 314 computations (88.2% saved)

prune50.0ms (1%)

Memory
-11.1MiB live, 150.7MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3894393
Fresh000
Picked011
Done000
Total3895394
Accuracy
100.0%
Counts
394 → 5
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))))
100.0%
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
99.2%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
98.8%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
97.9%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Compiler

Compiled 37 to 23 computations (37.8% saved)

simplify8.0ms (0.2%)

Memory
-22.5MiB live, 16.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 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
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
cost-diff0
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
cost-diff0
(log.f64 x)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
cost-diff0
(log.f64 x)
cost-diff0
(+.f64 (log.f64 x) x)
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
cost-diff0
(log.f64 x)
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Rules
68×lower-fma.f32
64×lower-fma.f64
46×lower-*.f64
46×lower-*.f32
44×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01990
02990
14290
25490
37590
410090
510490
610990
010990
Stop Event
iter limit
saturated
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 (log.f64 x) x))
(+.f64 (log.f64 x) x)
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 x)
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
#s(literal -1 binary64)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
x
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(+.f64 (log.f64 x) x)
(log.f64 x)
x
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
x
#s(literal 1 binary64)
(log.f64 x)
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
#s(literal -1 binary64)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
x

localize59.0ms (1.1%)

Memory
27.6MiB live, 107.4MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
accuracy0.00390625
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
accuracy0.1640625
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
accuracy0
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
accuracy0
(log.f64 x)
accuracy0.01953125
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
accuracy0.5171362232776459
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
accuracy0
(log.f64 x)
accuracy0.015625
(+.f64 (log.f64 x) x)
accuracy0.7256239272370724
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
accuracy0
(log.f64 x)
accuracy1.32630972072706
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
Samples
48.0ms256×0valid
Compiler

Compiled 78 to 20 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-sub: 12.0ms (31.6% of total)
ival-div: 9.0ms (23.7% of total)
ival-log: 9.0ms (23.7% of total)
ival-add: 3.0ms (7.9% of total)
ival-mult: 3.0ms (7.9% of total)
ival-neg: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series109.0ms (2.1%)

Memory
-25.5MiB live, 88.0MiB allocated
Counts
11 → 132
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 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.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 #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
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#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) (patch #s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x)))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.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 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (patch (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.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 (/ 1 x)) (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 (/ 1 x)) (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 (/ 1 x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (patch (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
56.0ms
x
@0
((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (log (/ -1 (- (/ -1 x) -1))) (/ -1 (- (/ -1 x) -1)) (- (/ -1 x) -1) (/ -1 x))
21.0ms
x
@inf
((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (log (/ -1 (- (/ -1 x) -1))) (/ -1 (- (/ -1 x) -1)) (- (/ -1 x) -1) (/ -1 x))
18.0ms
x
@-inf
((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1) (log (/ -1 (- (/ -1 x) -1))) (/ -1 (- (/ -1 x) -1)) (- (/ -1 x) -1) (/ -1 x))

simplify175.0ms (3.3%)

Memory
38.4MiB live, 152.4MiB allocated
Algorithm
egg-herbie
Rules
11 930×lower-fma.f64
11 930×lower-fma.f32
3 486×lower-*.f64
3 486×lower-*.f32
1 814×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100919
1299874
2704856
32581832
46872830
08217788
Stop Event
iter limit
node limit
Counts
132 → 129
Calls
Call 1
Inputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(log x)
(log x)
(log x)
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ x (log x))
(+ x (log x))
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
1
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(/ -1 x)
(/ (- x 1) x)
(/ (- x 1) x)
(/ (- x 1) x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(log -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))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
x
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(log -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)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
Outputs
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(+ 1 (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 (fma.f64 x x x) x x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #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 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(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) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+ (log -1) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(- 1 (/ 1 x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(- 1 (/ 1 x))
(/.f64 (-.f64 x #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 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (*.f64 (neg.f64 x) x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 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 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (*.f64 (neg.f64 x) x)) (log.f64 #s(literal -1 binary64)))
x
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(neg.f64 (-.f64 (neg.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(neg.f64 (-.f64 (neg.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(neg.f64 (-.f64 (neg.f64 x) (+.f64 (log.f64 (neg.f64 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 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (*.f64 (neg.f64 x) x)) (log.f64 #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(* x (+ 1/2 (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(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) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (*.f64 x x)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(- 1 (/ 1 x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(- 1 (/ 1 x))
(/.f64 (-.f64 x #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)

rewrite207.0ms (3.9%)

Memory
-14.7MiB live, 237.2MiB allocated
Rules
6 936×lower-fma.f32
6 932×lower-fma.f64
4 054×lower-*.f64
4 054×lower-*.f32
3 090×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01979
02979
112078
285478
0819673
Stop Event
iter limit
node limit
iter limit
Counts
11 → 480
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 (log.f64 x) x))
(+.f64 (log.f64 x) x)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(/.f64 #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)
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
(neg.f64 (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 x)
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (log.f64 x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 x (log.f64 x)) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (log.f64 x)) x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (log.f64 x)) x) (-.f64 (*.f64 (-.f64 x (log.f64 x)) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (log.f64 x) x))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 x (+.f64 (log.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x)) (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))) (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (log.f64 x) x))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x 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 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x)))
(*.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)) (/.f64 (+.f64 (log.f64 x) x) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))))
(*.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)) (*.f64 (+.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x 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 (+.f64 (log.f64 x) x) (/.f64 (-.f64 (log.f64 x) x) (-.f64 (log.f64 x) x)))
(*.f64 (+.f64 (log.f64 x) x) (*.f64 (-.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x))))
(*.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x))) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x))) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))) (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x 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 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 6 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (log.f64 x) x))
(/.f64 (*.f64 (fma.f64 (*.f64 x 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x))) (*.f64 (*.f64 x (/.f64 x (-.f64 (log.f64 x) x))) (*.f64 x (/.f64 x (-.f64 (log.f64 x) x))))) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (*.f64 x (/.f64 x (-.f64 (log.f64 x) x)))))
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(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 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) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (/.f64 #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) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.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 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))

eval96.0ms (1.8%)

Memory
-15.4MiB live, 215.5MiB allocated
Compiler

Compiled 14 484 to 1 489 computations (89.7% saved)

prune157.0ms (3%)

Memory
16.2MiB live, 173.4MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New6423645
Fresh000
Picked134
Done011
Total6437650
Accuracy
100.0%
Counts
650 → 7
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))))
98.8%
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
99.2%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
99.2%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
98.8%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
97.9%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Compiler

Compiled 54 to 30 computations (44.4% saved)

simplify7.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x x)
cost-diff0
#s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))
cost-diff0
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
cost-diff0
(+.f64 (log.f64 x) x)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
cost-diff128
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Rules
82×lower-fma.f32
78×lower-fma.f64
58×lower-*.f32
54×lower-*.f64
52×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027117
034117
156117
278115
381115
4109115
5113115
6118115
0118111
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(+.f64 (log.f64 x) x)
(log.f64 x)
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
#s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))
(fma.f64 x x x)
x
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(+.f64 (log.f64 x) x)
(log.f64 x)
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
#s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))
(fma.f64 x x x)
x

localize182.0ms (3.4%)

Memory
-23.1MiB live, 140.3MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x x x)
accuracy0
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
accuracy0.8150067930842623
#s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))
accuracy0
(log.f64 x)
accuracy0.0078125
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))
accuracy0.015625
(+.f64 (log.f64 x) x)
accuracy0.5171362232776459
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
accuracy0
(*.f64 x x)
accuracy0.00390625
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
accuracy0.5171362232776459
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
accuracy62.294554025535724
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
Samples
169.0ms256×0valid
Compiler

Compiled 78 to 24 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-div: 52.0ms (66.7% of total)
ival-log: 9.0ms (11.5% of total)
ival-add: 7.0ms (9% of total)
ival-mult: 6.0ms (7.7% of total)
ival-sub: 2.0ms (2.6% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.7%)

Memory
9.7MiB live, 84.8MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) (patch (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) (patch #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) #<representation binary64>) () ())
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (patch (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) (patch (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) 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))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) (patch #s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (log.f64 x) x) (patch (+.f64 (log.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (log -1) (taylor -inf x) (#s(alt (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) (patch (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (/ 1 x)) (taylor -inf x) (#s(alt (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) (patch (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (/ 1/2 (pow x 2)) (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) (patch (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (taylor -inf x) (#s(alt (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) (patch (log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) (patch #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) (patch #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) (patch #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) (taylor -inf x) (#s(alt #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) (patch #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x 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

3 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (log (/ -1 (- (/ -1 x) -1))) (/ -1 (- (/ -1 x) -1)) (+ (* x x) x) (log x))
10.0ms
x
@inf
((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (log (/ -1 (- (/ -1 x) -1))) (/ -1 (- (/ -1 x) -1)) (+ (* x x) x) (log x))
7.0ms
x
@0
((neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (+ (* (* x x) 1/2) (+ (log x) x)) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (log (/ -1 (- (/ -1 x) -1))) (/ -1 (- (/ -1 x) -1)) (+ (* x x) x) (log x))

simplify126.0ms (2.4%)

Memory
7.8MiB live, 204.4MiB allocated
Algorithm
egg-herbie
Rules
8 908×lower-fma.f64
8 908×lower-fma.f32
2 852×lower-*.f64
2 852×lower-*.f32
1 644×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097943
1290896
2698869
31979837
44978826
08220771
Stop Event
iter limit
node limit
Counts
132 → 128
Calls
Call 1
Inputs
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(log x)
(- x (* -1 (log x)))
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(log x)
(+ x (log x))
(+ x (log x))
(+ x (log x))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(log x)
(log x)
(log x)
(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))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(log -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))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
x
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(log -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)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 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 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(+ (log x) (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 (fma.f64 x x x) x x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(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 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.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))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (log.f64 #s(literal -1 binary64))))
x
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(* x (+ 1 (* -1 (/ (log (/ 1 x)) x))))
(+.f64 (log.f64 x) x)
(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) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+ (log -1) (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))))
(+.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (log.f64 #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.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)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x 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)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 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 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x) (log.f64 #s(literal -1 binary64)))
x
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) x)
(* -1 (* x (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1)))
(+.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))) 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) (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(*.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)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))

rewrite163.0ms (3.1%)

Memory
14.6MiB live, 207.7MiB allocated
Rules
6 662×lower-fma.f32
6 658×lower-fma.f64
3 580×lower-*.f32
3 576×lower-*.f64
3 416×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027109
034109
1154107
21171107
0878899
Stop Event
iter limit
node limit
iter limit
Counts
11 → 238
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
(+.f64 (log.f64 x) x)
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
#s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))
(fma.f64 x x x)
(log.f64 x)
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.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) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(neg.f64 (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 x)) x)))
(*.f64 (-.f64 (pow.f64 (+.f64 (log.f64 x) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 x) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))
(*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (log.f64 x)) x)))))
(*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (pow.f64 (+.f64 (log.f64 x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (+.f64 (log.f64 x) x))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (pow.f64 (+.f64 (log.f64 x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 (log.f64 x) x) (-.f64 (+.f64 (log.f64 x) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x (*.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (log.f64 x))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (pow.f64 (+.f64 (log.f64 x) x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (+.f64 (log.f64 x) x))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) 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 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (log.f64 x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x (*.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (pow.f64 (+.f64 (log.f64 x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (log.f64 x) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (+.f64 (log.f64 x) x))))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (pow.f64 (+.f64 (log.f64 x) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (+.f64 (log.f64 x) x) (-.f64 (+.f64 (log.f64 x) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) (log.f64 x))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) (log.f64 x)))) (*.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) x) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) (log.f64 x))) (/.f64 (pow.f64 (+.f64 (log.f64 x) x) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) (log.f64 x))))) (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) (log.f64 x))) (/.f64 (pow.f64 (+.f64 (log.f64 x) x) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (neg.f64 x)) (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x)))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x)))))
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(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) 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))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 x) 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))))))
(/.f64 (neg.f64 (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 x (log.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (log.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (*.f64 (-.f64 (log.f64 x) x) (*.f64 x x))) (pow.f64 (-.f64 (log.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.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 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (log.f64 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 (log.f64 x) x))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) x))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (log.f64 x)) (fma.f64 x x (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) x))) (fma.f64 (*.f64 x x) x (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 x) x)))
(neg.f64 (neg.f64 (+.f64 (log.f64 x) x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (log.f64 x))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (log.f64 x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (log.f64 x))
(fma.f64 x #s(literal 1 binary64) (log.f64 x))
(fma.f64 #s(literal 1 binary64) 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)))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (log.f64 x) x))))
(+.f64 (log.f64 x) x)
(+.f64 x (log.f64 x))
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
#s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x))
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x))) (/.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x)))))
(*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) x))
(*.f64 (*.f64 (fma.f64 x x x) (-.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x x)))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 x x) x)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x))))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 x (*.f64 x x)))) (neg.f64 (-.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) x x) (fma.f64 x x x))) (fma.f64 x x x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (*.f64 x x))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 x (*.f64 x x))) (-.f64 x (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x x) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x x))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 x x) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x)) (fma.f64 x x (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 x x) x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x)) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x x) (-.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (*.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(neg.f64 (fma.f64 (neg.f64 x) x x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x x x))))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 x))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 x x (neg.f64 x))
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 x (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 x x) x))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))
(-.f64 (*.f64 x x) x)
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x x x))))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))
(neg.f64 (neg.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 (log.f64 x) #s(literal 0 binary64))
(log.f64 x)

eval98.0ms (1.9%)

Memory
-42.5MiB live, 134.3MiB allocated
Compiler

Compiled 8 092 to 730 computations (91% saved)

prune55.0ms (1%)

Memory
34.0MiB live, 73.5MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New3881389
Fresh000
Picked033
Done044
Total3888396
Accuracy
100.0%
Counts
396 → 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))))
98.8%
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
99.2%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
99.2%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
98.8%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
97.9%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Compiler

Compiled 64 to 36 computations (43.8% saved)

simplify38.0ms (0.7%)

Memory
-27.7MiB live, 14.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01760
02060
13554
25754
38454
411154
512454
613454
714054
816054
924454
1044054
1161654
1269454
1373054
1474954
1576254
1676554
076550
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize35.0ms (0.7%)

Memory
20.6MiB live, 57.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.1484375
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
accuracy0.5171362232776459
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
accuracy62.294554025535724
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
Samples
28.0ms256×0valid
Compiler

Compiled 35 to 15 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log: 6.0ms (28.3% of total)
ival-mult: 5.0ms (23.6% of total)
ival-div: 4.0ms (18.8% of total)
ival-add: 3.0ms (14.1% of total)
ival-sub: 1.0ms (4.7% of total)
ival-neg: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-27.2MiB live, 9.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.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 (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- x (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* 1/2 x))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x))) (taylor 0 x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (log x) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (log x)) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.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 (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.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 (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 x) (log -1)) (taylor -inf x) (#s(alt #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) 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))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.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 (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/2 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.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 (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.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 (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify124.0ms (2.4%)

Memory
19.8MiB live, 135.2MiB allocated
Algorithm
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
064328
1181316
2439309
31197304
44328298
08230279
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* 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)))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* -1 (log -1))
(- (/ 1 x) (log -1))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(log x)
(log.f64 x)
(- x (* -1 (log x)))
(+.f64 (log.f64 x) x)
(- (* x (+ 1 (* 1/2 x))) (* -1 (log x)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (log.f64 x))
(- (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))) (* -1 (log x)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 (log.f64 x) x)
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (log.f64 x))
(+ (log x) (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (log.f64 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 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (log -1))
(fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.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))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (log.f64 x))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) (pow x 2))) (/ 1 x))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (log.f64 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 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* -1 (log -1))
(neg.f64 (log.f64 #s(literal -1 binary64)))
(- (/ 1 x) (log -1))
(-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))
(- (+ (/ 1/2 (pow x 2)) (/ 1 x)) (log -1))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x)) (log -1))
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x)) (log.f64 #s(literal -1 binary64)))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(* (pow x 2) (+ 1/2 (/ 1 x)))
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 binary64))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) 1) x))))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 (log.f64 (neg.f64 x)) (log.f64 #s(literal -1 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))

rewrite153.0ms (2.9%)

Memory
7.7MiB live, 200.2MiB allocated
Rules
6 342×lower-fma.f64
6 342×lower-fma.f32
3 928×lower-*.f32
3 926×lower-*.f64
3 072×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01754
02054
18548
260048
3704748
0884443
Stop Event
iter limit
node limit
iter limit
Counts
4 → 54
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(*.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)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (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 x (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 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 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(neg.f64 (*.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)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (/.f64 #s(literal 2 binary64) x) #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)))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.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 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))

eval10.0ms (0.2%)

Memory
24.7MiB live, 24.7MiB allocated
Compiler

Compiled 989 to 132 computations (86.7% saved)

prune64.0ms (1.2%)

Memory
-21.5MiB live, 68.7MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New984102
Fresh000
Picked101
Done077
Total9911110
Accuracy
100.0%
Counts
110 → 11
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))))
98.8%
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
99.2%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
99.2%
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
98.8%
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
97.9%
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (/.f64 #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 (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (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 (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
2.7%
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Compiler

Compiled 199 to 88 computations (55.8% saved)

regimes23.0ms (0.4%)

Memory
13.6MiB live, 51.3MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (/.f64 #s(literal 1 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 (log.f64 x) x))
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
Outputs
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
Calls

5 calls:

6.0ms
(-.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
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
4.0ms
x
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)

regimes23.0ms (0.4%)

Memory
-27.6MiB live, 50.5MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (/.f64 #s(literal 1 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 (log.f64 x) x))
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
Calls

5 calls:

5.0ms
x
4.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
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
(-.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)

regimes22.0ms (0.4%)

Memory
5.1MiB live, 47.8MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (/.f64 #s(literal 1 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 (log.f64 x) x))
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 (log.f64 x) x)))
Calls

5 calls:

6.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
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
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
4.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.2%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
99.2%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
99.2%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes20.0ms (0.4%)

Memory
6.2MiB live, 45.2MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (/.f64 #s(literal 1 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 (log.f64 x) x))
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
Calls

5 calls:

5.0ms
(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 #s(literal 1 binary64) x)
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
99.2%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
99.2%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
99.2%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes39.0ms (0.7%)

Memory
-10.9MiB live, 28.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (/.f64 #s(literal 1 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 (log.f64 x) x))
(log.f64 #s(approx (/ -1 (- (/ -1 x) -1)) (fma.f64 x x x)))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
Calls

5 calls:

24.0ms
(log.f64 (-.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
(/.f64 #s(literal 1 binary64) x)
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
98.8%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
98.8%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
98.8%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
98.8%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes15.0ms (0.3%)

Memory
22.3MiB live, 22.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (/.f64 #s(literal 1 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:

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
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms
x
Results
AccuracySegmentsBranch
97.9%1x
97.9%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
97.9%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
97.9%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
97.9%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes30.0ms (0.6%)

Memory
-11.6MiB live, 26.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
Calls

5 calls:

18.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
3.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
3.0ms
(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
x
Results
AccuracySegmentsBranch
2.7%1x
2.7%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.7%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.7%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.7%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes12.0ms (0.2%)

Memory
-18.6MiB live, 19.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

2.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms
(/.f64 #s(literal 1 binary64) x)
1.0ms
x
Results
AccuracySegmentsBranch
2.7%1x
2.7%1(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.7%1(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.7%1(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.7%1(/.f64 #s(literal 1 binary64) x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify6.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
egg-herbie
Rules
12×+-commutative_binary64
10×sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039120
150120
258120
365120
466120
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 (/.f64 #s(literal -1 binary64) (-.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 (log.f64 x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Outputs
(log.f64 (/.f64 #s(literal -1 binary64) (-.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 (log.f64 x) x)))
#s(approx (neg (log (- (/ 1 x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)))
#s(approx (neg (log (- (/ 1 x) 1))) (+.f64 (log.f64 x) x))
#s(approx (neg (log (- (/ 1 x) 1))) (log.f64 x))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (neg (log (- (/ 1 x) 1))) #s(approx (+ (* (+ (* 1/2 x) 1) x) (log x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))

soundness1.6s (30.1%)

Memory
40.3MiB live, 655.7MiB allocated
Rules
11 930×lower-fma.f64
11 930×lower-fma.f32
6 936×lower-fma.f32
6 932×lower-fma.f64
6 662×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01754
02054
18548
260048
3704748
0884443
0100919
1299874
2704856
32581832
46872830
08217788
0621
01021
13821
223621
3250421
0927918
027109
034109
1154107
21171107
0878899
01979
02979
112078
285478
0819673
075313
1190292
2397290
3968280
41971278
54221278
65618278
75789278
85802278
95802278
105802278
115977278
126010278
136010278
06010270
Stop Event
fuel
iter limit
saturated
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 141 to 75 computations (46.8% saved)

preprocess43.0ms (0.8%)

Memory
-4.1MiB live, 111.8MiB allocated
Compiler

Compiled 134 to 56 computations (58.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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