logs (example 3.8)

Time bar (total: 5.7s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%23.7%76.3%0%0%0%0
100%23.7%0%76.3%0%0%0%1
Compiler

Compiled 19 to 12 computations (36.8% saved)

sample3.2s (56.8%)

Memory
54.3MiB live, 3 181.0MiB allocated
Samples
2.8s8 256×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-log: 762.0ms (33.5% of total)
ival-log1p: 729.0ms (32% of total)
adjust: 262.0ms (11.5% of total)
ival-mult: 220.0ms (9.7% of total)
ival-sub: 150.0ms (6.6% of total)
ival-add: 92.0ms (4% of total)
ival->: 48.0ms (2.1% of total)
exact: 11.0ms (0.5% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

preprocess107.0ms (1.9%)

Memory
13.0MiB live, 50.7MiB allocated
Algorithm
egg-herbie
Rules
1 408×lower-fma.f64
1 408×lower-fma.f32
360×lower-+.f32
360×lower--.f32
358×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
13333
28832
328632
474632
5138832
6184432
7186232
0915
01615
13115
25915
312315
425815
549315
684915
7120115
8140015
9141715
0141711
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
Outputs
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))

explain369.0ms (6.5%)

Memory
-27.4MiB live, 375.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
00-0-n
00-0-(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 n #s(literal 1 binary64))
00-0-(log.f64 n)
00-0-(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
00-0-(*.f64 n (log.f64 n))
00-0-(log.f64 (+.f64 n #s(literal 1 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))cancellation2520
-.f64(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))nan-rescue40
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))overflow4
(*.f64 n (log.f64 n))overflow4
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
205.0ms512×1valid
Compiler

Compiled 138 to 40 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 171.0ms
ival-mult: 62.0ms (36.3% of total)
ival-log1p: 41.0ms (24% of total)
ival-log: 37.0ms (21.7% of total)
adjust: 14.0ms (8.2% of total)
ival-sub: 10.0ms (5.9% of total)
ival-add: 6.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.5%
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
Compiler

Compiled 16 to 9 computations (43.8% saved)

simplify77.0ms (1.4%)

Memory
13.0MiB live, 90.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
cost-diff0
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
cost-diff128
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
cost-diff192
(log.f64 (+.f64 n #s(literal 1 binary64)))
Rules
1 408×lower-fma.f64
1 408×lower-fma.f32
360×lower-+.f32
360×lower--.f32
358×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
01651
13151
25951
312351
425851
549351
684951
7120151
8140051
9141751
0141739
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(+.f64 n #s(literal 1 binary64))
n
#s(literal 1 binary64)
(log.f64 (+.f64 n #s(literal 1 binary64)))
(*.f64 n (log.f64 n))
(log.f64 n)
Outputs
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (fma.f64 n (log.f64 n) #s(literal 1 binary64)))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (*.f64 n (log.f64 n)))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))
(+.f64 n #s(literal 1 binary64))
n
#s(literal 1 binary64)
(log.f64 (+.f64 n #s(literal 1 binary64)))
(log1p.f64 n)
(*.f64 n (log.f64 n))
(log.f64 n)

localize92.0ms (1.6%)

Memory
-3.3MiB live, 152.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 n)
accuracy99.6%
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
accuracy99.6%
(*.f64 n (log.f64 n))
accuracy3.1%
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
Samples
77.0ms256×1valid
Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-log1p: 22.0ms (35.4% of total)
ival-log: 17.0ms (27.3% of total)
adjust: 7.0ms (11.3% of total)
ival-mult: 6.0ms (9.6% of total)
ival-add: 5.0ms (8% of total)
ival-sub: 4.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (1.2%)

Memory
-12.1MiB live, 146.0MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))>
#<alt (*.f64 n (log.f64 n))>
#<alt (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))>
#<alt (log.f64 n)>
Outputs
#<alt (* n (- 1 (log n)))>
#<alt (* n (- (+ 1 (* 1/2 n)) (log n)))>
#<alt (* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))>
#<alt (* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))>
#<alt (+ 1 (* -1 (log (/ 1 n))))>
#<alt (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))>
#<alt (- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))>
#<alt (- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))>
#<alt (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))>
#<alt (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))>
#<alt (* n (log n))>
#<alt (* n (log n))>
#<alt (* n (log n))>
#<alt (* n (log n))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt n>
#<alt (* n (+ 1 (* 1/2 n)))>
#<alt (* n (+ 1 (* n (+ 1/2 (* -1/6 n)))))>
#<alt (* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))))>
#<alt (* -1 (* n (log (/ 1 n))))>
#<alt (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n))))>
#<alt (* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))))>
#<alt (* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3)))))>
#<alt (* n (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n)))))>
#<alt (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n)))))>
#<alt (* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))) n)))))>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
Calls

12 calls:

TimeVariablePointExpression
42.0ms
n
@0
(* n (log n))
12.0ms
n
@-inf
(* n (log n))
7.0ms
n
@inf
(* n (log n))
1.0ms
n
@-inf
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
1.0ms
n
@0
(- (* (+ n 1) (log (+ n 1))) (* n (log n)))

rewrite334.0ms (5.9%)

Memory
25.1MiB live, 511.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 136×lower-fma.f64
5 136×lower-fma.f32
4 138×lower-*.f32
4 134×lower-*.f64
3 794×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01427
14927
233627
3392727
0934423
Stop Event
iter limit
node limit
iter limit
Counts
4 → 229
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
(*.f64 n (log.f64 n))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64))))
(log.f64 n)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (*.f64 n (log.f64 n))))) #s(literal -1 binary64)))
(+.f64 (log1p.f64 n) (fma.f64 n (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(+.f64 (log1p.f64 n) (-.f64 (*.f64 n (log1p.f64 n)) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (neg.f64 (*.f64 n (log.f64 n))))
(+.f64 (neg.f64 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 3 binary64)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))))
(+.f64 (*.f64 n (log1p.f64 n)) (+.f64 (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(+.f64 (*.f64 n (log1p.f64 n)) (-.f64 (log1p.f64 n) (*.f64 n (log.f64 n))))
(+.f64 (fma.f64 n (neg.f64 (log.f64 n)) (*.f64 n (log1p.f64 n))) (log1p.f64 n))
(+.f64 (fma.f64 n (neg.f64 (log.f64 n)) (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (*.f64 n (log.f64 n)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 3 binary64)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))))
(-.f64 (fma.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n) #s(literal 0 binary64)) (*.f64 n (log.f64 n)))
(fma.f64 n (log1p.f64 n) (+.f64 (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(fma.f64 n (log1p.f64 n) (-.f64 (log1p.f64 n) (*.f64 n (log.f64 n))))
(fma.f64 n (neg.f64 (log.f64 n)) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))
(fma.f64 n (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 n))) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 n) (fma.f64 n (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 n) (-.f64 (*.f64 n (log1p.f64 n)) (*.f64 n (log.f64 n))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))
(fma.f64 #s(literal 1 binary64) (*.f64 n (log1p.f64 n)) (+.f64 (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(fma.f64 #s(literal 1 binary64) (*.f64 n (log1p.f64 n)) (-.f64 (log1p.f64 n) (*.f64 n (log.f64 n))))
(fma.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n))))
(fma.f64 (+.f64 n #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (pow.f64 (log1p.f64 n) #s(literal 2 binary64))) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))))
(fma.f64 (log1p.f64 n) n (+.f64 (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(fma.f64 (log1p.f64 n) n (-.f64 (log1p.f64 n) (*.f64 n (log.f64 n))))
(fma.f64 (log1p.f64 n) #s(literal 1 binary64) (fma.f64 n (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(fma.f64 (log1p.f64 n) #s(literal 1 binary64) (-.f64 (*.f64 n (log1p.f64 n)) (*.f64 n (log.f64 n))))
(fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (neg.f64 (*.f64 n (log.f64 n))))
(fma.f64 (log1p.f64 n) (/.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))))
(fma.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (/.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))))
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(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (-.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64)))) (fma.f64 (*.f64 n (log.f64 n)) (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)))) (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (*.f64 n (log.f64 n))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 n (log.f64 n)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 n (log.f64 n)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (-.f64 (*.f64 (*.f64 n (log.f64 n)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 n (log.f64 n)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (*.f64 (*.f64 n (log.f64 n)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) #s(literal 1 binary64)))
(pow.f64 (*.f64 n (log.f64 n)) #s(literal 1 binary64))
(*.f64 n (log.f64 n))
(*.f64 n (*.f64 #s(literal 1 binary64) (log.f64 n)))
(*.f64 n (exp.f64 (log.f64 (log.f64 n))))
(*.f64 #s(literal 1 binary64) (*.f64 n (log.f64 n)))
(*.f64 (log.f64 n) n)
(*.f64 (*.f64 n (log.f64 n)) #s(literal 1 binary64))
(*.f64 (*.f64 (log.f64 n) #s(literal 1 binary64)) n)
(*.f64 (exp.f64 (log.f64 (log.f64 n))) n)
(exp.f64 (log.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))) #s(literal 1 binary64)))
(+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(+.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(fma.f64 n (log1p.f64 n) (log1p.f64 n))
(fma.f64 #s(literal 1 binary64) (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(fma.f64 #s(literal 1 binary64) (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(fma.f64 (log1p.f64 n) n (log1p.f64 n))
(fma.f64 (log1p.f64 n) #s(literal 1 binary64) (*.f64 n (log1p.f64 n)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(fma.f64 (*.f64 n (log1p.f64 n)) #s(literal 1 binary64) (log1p.f64 n))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n #s(literal -1 binary64)) (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64)))))
(/.f64 (log1p.f64 n) (/.f64 #s(literal 1 binary64) (+.f64 n #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 n #s(literal -1 binary64)) (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))))))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))) (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (+.f64 n #s(literal -1 binary64)))
(/.f64 (neg.f64 (log1p.f64 n)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 n #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64)))) (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) n))
(/.f64 (+.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 n) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (*.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 n) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (*.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n))))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 n) #s(literal 2 binary64))) (-.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64))) (-.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n))))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 (*.f64 n n) (neg.f64 n) #s(literal -1 binary64))) (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(/.f64 (*.f64 (log1p.f64 n) (neg.f64 (fma.f64 n n #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (log1p.f64 n) (-.f64 #s(literal 1 binary64) (*.f64 n n))) (-.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (fma.f64 (*.f64 n n) (neg.f64 n) #s(literal -1 binary64)) (log1p.f64 n)) (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(/.f64 (*.f64 (neg.f64 (fma.f64 n n #s(literal -1 binary64))) (log1p.f64 n)) (-.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n)) (log1p.f64 n)) (-.f64 #s(literal 1 binary64) n))
(/.f64 (exp.f64 (log.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (-.f64 (*.f64 n n) n))))
(/.f64 (exp.f64 (log.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))))) (exp.f64 (log.f64 (+.f64 n #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (*.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (*.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 n) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 (*.f64 n n) (neg.f64 n) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (neg.f64 (fma.f64 n n #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (-.f64 #s(literal 1 binary64) (*.f64 n n)))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 n n) (neg.f64 n) #s(literal -1 binary64)) (log1p.f64 n))) (neg.f64 (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 n n #s(literal -1 binary64))) (log1p.f64 n))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n)) (log1p.f64 n))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 n #s(literal -1 binary64)) (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))
(*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))
(*.f64 (fma.f64 n (*.f64 n n) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))) (log1p.f64 n)))
(*.f64 (fma.f64 n (*.f64 n n) #s(literal 1 binary64)) (/.f64 (log1p.f64 n) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(*.f64 (fma.f64 n n #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n #s(literal -1 binary64))) (log1p.f64 n)))
(*.f64 (fma.f64 n n #s(literal -1 binary64)) (/.f64 (log1p.f64 n) (+.f64 n #s(literal -1 binary64))))
(*.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(*.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 n #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))) (fma.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)) (*.f64 (-.f64 #s(literal 1 binary64) n) (*.f64 (-.f64 #s(literal 1 binary64) n) (-.f64 #s(literal 1 binary64) n))))) (fma.f64 n (*.f64 n (*.f64 n n)) (*.f64 (-.f64 #s(literal 1 binary64) n) (-.f64 (-.f64 #s(literal 1 binary64) n) (*.f64 n n)))))
(*.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))) (*.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) (+.f64 (fma.f64 n n #s(literal -1 binary64)) n))) (+.f64 (fma.f64 n n #s(literal -1 binary64)) n))
(*.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (fma.f64 n n #s(literal -1 binary64))) (+.f64 n #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (fma.f64 n (*.f64 n n) #s(literal -1 binary64))) (fma.f64 n n (+.f64 n #s(literal 1 binary64))))
(*.f64 (exp.f64 (log1p.f64 n)) (exp.f64 (log.f64 (log1p.f64 n))))
(*.f64 (exp.f64 (log.f64 (log1p.f64 n))) (exp.f64 (log1p.f64 n)))
(log.f64 n)
(+.f64 (log.f64 n) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 n))

simplify452.0ms (7.9%)

Memory
-8.1MiB live, 626.9MiB allocated
Algorithm
egg-herbie
Rules
18 554×lower-fma.f64
18 554×lower-fma.f32
3 344×lower-+.f64
3 344×lower-+.f32
3 182×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109497
1351452
21101437
33969425
08496406
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
(* n (- 1 (log n)))
(* n (- (+ 1 (* 1/2 n)) (log n)))
(* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))
(* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))
(+ 1 (* -1 (log (/ 1 n))))
(+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (+ (* 1/2 (/ 1 n)) (* 1/12 (/ 1 (pow n 3)))))) (/ 1/6 (pow n 2)))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)))))
(+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* -1 (/ (- (* 1/12 (/ 1 n)) 1/6) n)) 1/2) n)))))
(* n (log n))
(* n (log n))
(* n (log n))
(* n (log n))
(* -1 (* n (log (/ 1 n))))
(* -1 (* n (log (/ 1 n))))
(* -1 (* n (log (/ 1 n))))
(* -1 (* n (log (/ 1 n))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
n
(* n (+ 1 (* 1/2 n)))
(* n (+ 1 (* n (+ 1/2 (* -1/6 n)))))
(* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))))
(* -1 (* n (log (/ 1 n))))
(* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (/ 1 n))))
(* n (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))))
(* n (- (+ (* -1 (log (/ 1 n))) (+ (* -1 (/ (log (/ 1 n)) n)) (+ (/ 1/2 (pow n 2)) (/ 1 n)))) (* 1/6 (/ 1 (pow n 3)))))
(* n (+ (log -1) (* -1 (log (/ -1 n)))))
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (* -1 (log (/ -1 n))))) n)))))
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* 1/2 (/ 1 n))))) n)))))
(* -1 (* n (+ (* -1 (+ (log -1) (* -1 (log (/ -1 n))))) (* -1 (/ (+ 1 (+ (log -1) (+ (* -1 (log (/ -1 n))) (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n))))) n)))))
(log n)
(log n)
(log n)
(log n)
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
Outputs
(* n (- 1 (log n)))
(fma.f64 (log.f64 n) (neg.f64 n) n)
(* n (- (+ 1 (* 1/2 n)) (log n)))
(fma.f64 n (-.f64 (*.f64 n #s(literal 1/2 binary64)) (log.f64 n)) n)
(* n (- (+ 1 (* n (+ 1/2 (* -1/6 n)))) (log n)))
(*.f64 n (-.f64 (fma.f64 n (fma.f64 n #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 n)))
(* n (- (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))) (log n)))
(*.f64 n (-.f64 (fma.f64 n (fma.f64 n (fma.f64 n #s(literal 1/12 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 n)))
(+ 1 (* -1 (log (/ 1 n))))
(+.f64 #s(literal 1 binary64) (log.f64 n))
(+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (/.f64 #s(literal 1/2 binary64) n)))
(- (+ 1 (+ (* -1 (log (/ 1 n))) (* 1/2 (/ 1 n)))) (/ 1/6 (pow n 2)))
(+.f64 (log.f64 n) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) n)))
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(* n (log n))
(*.f64 n (log.f64 n))
(* n (log n))
(*.f64 n (log.f64 n))
(* n (log n))
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(* n (log n))
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(*.f64 n (log.f64 n))
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(*.f64 n (log.f64 n))
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n
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(* n (+ 1 (* n (+ 1/2 (* -1/6 n)))))
(fma.f64 n (*.f64 n (fma.f64 n #s(literal -1/6 binary64) #s(literal 1/2 binary64))) n)
(* n (+ 1 (* n (+ 1/2 (* n (- (* 1/12 n) 1/6))))))
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(log n)
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simplify51.0ms (0.9%)

Memory
-0.2MiB live, 40.2MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05527362
15537362
05537362
Stop Event
saturated
saturated
Counts
229 → 0
Calls
Call 1
Inputs
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 n #s(literal -1 binary64)) (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))))))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))) (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (+.f64 n #s(literal -1 binary64)))
(/.f64 (neg.f64 (log1p.f64 n)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 n #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64)))) (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) n))
(/.f64 (+.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 n) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (*.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 n) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (*.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n))))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 n) #s(literal 2 binary64))) (-.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64))) (-.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n))))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 (*.f64 n n) (neg.f64 n) #s(literal -1 binary64))) (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(/.f64 (*.f64 (log1p.f64 n) (neg.f64 (fma.f64 n n #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (log1p.f64 n) (-.f64 #s(literal 1 binary64) (*.f64 n n))) (-.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (fma.f64 (*.f64 n n) (neg.f64 n) #s(literal -1 binary64)) (log1p.f64 n)) (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(/.f64 (*.f64 (neg.f64 (fma.f64 n n #s(literal -1 binary64))) (log1p.f64 n)) (-.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n)) (log1p.f64 n)) (-.f64 #s(literal 1 binary64) n))
(/.f64 (exp.f64 (log.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (-.f64 (*.f64 n n) n))))
(/.f64 (exp.f64 (log.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))))) (exp.f64 (log.f64 (+.f64 n #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (*.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (*.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 n) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 (*.f64 n n) (neg.f64 n) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (neg.f64 (fma.f64 n n #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (-.f64 #s(literal 1 binary64) (*.f64 n n)))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 n n) (neg.f64 n) #s(literal -1 binary64)) (log1p.f64 n))) (neg.f64 (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 n n #s(literal -1 binary64))) (log1p.f64 n))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n)) (log1p.f64 n))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 n #s(literal -1 binary64)) (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))
(*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))
(*.f64 (fma.f64 n (*.f64 n n) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))) (log1p.f64 n)))
(*.f64 (fma.f64 n (*.f64 n n) #s(literal 1 binary64)) (/.f64 (log1p.f64 n) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(*.f64 (fma.f64 n n #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n #s(literal -1 binary64))) (log1p.f64 n)))
(*.f64 (fma.f64 n n #s(literal -1 binary64)) (/.f64 (log1p.f64 n) (+.f64 n #s(literal -1 binary64))))
(*.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(*.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 n #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))) (fma.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)) (*.f64 (-.f64 #s(literal 1 binary64) n) (*.f64 (-.f64 #s(literal 1 binary64) n) (-.f64 #s(literal 1 binary64) n))))) (fma.f64 n (*.f64 n (*.f64 n n)) (*.f64 (-.f64 #s(literal 1 binary64) n) (-.f64 (-.f64 #s(literal 1 binary64) n) (*.f64 n n)))))
(*.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))) (*.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) (+.f64 (fma.f64 n n #s(literal -1 binary64)) n))) (+.f64 (fma.f64 n n #s(literal -1 binary64)) n))
(*.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (fma.f64 n n #s(literal -1 binary64))) (+.f64 n #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (fma.f64 n (*.f64 n n) #s(literal -1 binary64))) (fma.f64 n n (+.f64 n #s(literal 1 binary64))))
(*.f64 (exp.f64 (log1p.f64 n)) (exp.f64 (log.f64 (log1p.f64 n))))
(*.f64 (exp.f64 (log.f64 (log1p.f64 n))) (exp.f64 (log1p.f64 n)))
(log.f64 n)
(+.f64 (log.f64 n) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 n))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (*.f64 n (log.f64 n))))) #s(literal -1 binary64)))
(+.f64 (log1p.f64 n) (fma.f64 n (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(+.f64 (log1p.f64 n) (-.f64 (*.f64 n (log1p.f64 n)) (*.f64 n (log.f64 n))))
(+.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (neg.f64 (*.f64 n (log.f64 n))))
(+.f64 (neg.f64 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 3 binary64)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))))
(+.f64 (*.f64 n (log1p.f64 n)) (+.f64 (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(+.f64 (*.f64 n (log1p.f64 n)) (-.f64 (log1p.f64 n) (*.f64 n (log.f64 n))))
(+.f64 (fma.f64 n (neg.f64 (log.f64 n)) (*.f64 n (log1p.f64 n))) (log1p.f64 n))
(+.f64 (fma.f64 n (neg.f64 (log.f64 n)) (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (*.f64 n (log.f64 n)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 n (log.f64 n)) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 3 binary64)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))))
(-.f64 (fma.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n) #s(literal 0 binary64)) (*.f64 n (log.f64 n)))
(fma.f64 n (log1p.f64 n) (+.f64 (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(fma.f64 n (log1p.f64 n) (-.f64 (log1p.f64 n) (*.f64 n (log.f64 n))))
(fma.f64 n (neg.f64 (log.f64 n)) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))
(fma.f64 n (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 n))) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 n) (fma.f64 n (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 n) (-.f64 (*.f64 n (log1p.f64 n)) (*.f64 n (log.f64 n))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))
(fma.f64 #s(literal 1 binary64) (*.f64 n (log1p.f64 n)) (+.f64 (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(fma.f64 #s(literal 1 binary64) (*.f64 n (log1p.f64 n)) (-.f64 (log1p.f64 n) (*.f64 n (log.f64 n))))
(fma.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n))))
(fma.f64 (+.f64 n #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (pow.f64 (log1p.f64 n) #s(literal 2 binary64))) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))))
(fma.f64 (log1p.f64 n) n (+.f64 (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(fma.f64 (log1p.f64 n) n (-.f64 (log1p.f64 n) (*.f64 n (log.f64 n))))
(fma.f64 (log1p.f64 n) #s(literal 1 binary64) (fma.f64 n (log1p.f64 n) (neg.f64 (*.f64 n (log.f64 n)))))
(fma.f64 (log1p.f64 n) #s(literal 1 binary64) (-.f64 (*.f64 n (log1p.f64 n)) (*.f64 n (log.f64 n))))
(fma.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)) (neg.f64 (*.f64 n (log.f64 n))))
(fma.f64 (log1p.f64 n) (/.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))))
(fma.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (/.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))))
(fma.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (/.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64))))))
(fma.f64 (log.f64 n) (neg.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))
(fma.f64 (*.f64 n (log.f64 n)) #s(literal -1 binary64) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))
(fma.f64 (fma.f64 n (*.f64 n n) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))) (log1p.f64 n)) (neg.f64 (*.f64 n (log.f64 n))))
(fma.f64 (fma.f64 n (*.f64 n n) #s(literal 1 binary64)) (/.f64 (log1p.f64 n) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))) (neg.f64 (*.f64 n (log.f64 n))))
(fma.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 2 binary64)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))))
(fma.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64)) (fma.f64 n (*.f64 (log.f64 n) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64))))))
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(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 n (log.f64 n)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 n (log.f64 n)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (-.f64 (*.f64 (*.f64 n (log.f64 n)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 n)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 n (log.f64 n)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 2 binary64)) (*.f64 (*.f64 n (log.f64 n)) (fma.f64 n (log.f64 n) (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))))
(exp.f64 (log.f64 (*.f64 n (log.f64 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (log.f64 n))) #s(literal 1 binary64)))
(pow.f64 (*.f64 n (log.f64 n)) #s(literal 1 binary64))
(*.f64 n (log.f64 n))
(*.f64 n (*.f64 #s(literal 1 binary64) (log.f64 n)))
(*.f64 n (exp.f64 (log.f64 (log.f64 n))))
(*.f64 #s(literal 1 binary64) (*.f64 n (log.f64 n)))
(*.f64 (log.f64 n) n)
(*.f64 (*.f64 n (log.f64 n)) #s(literal 1 binary64))
(*.f64 (*.f64 (log.f64 n) #s(literal 1 binary64)) n)
(*.f64 (exp.f64 (log.f64 (log.f64 n))) n)
(exp.f64 (log.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))) #s(literal 1 binary64)))
(+.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(+.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(fma.f64 n (log1p.f64 n) (log1p.f64 n))
(fma.f64 #s(literal 1 binary64) (log1p.f64 n) (*.f64 n (log1p.f64 n)))
(fma.f64 #s(literal 1 binary64) (*.f64 n (log1p.f64 n)) (log1p.f64 n))
(fma.f64 (log1p.f64 n) n (log1p.f64 n))
(fma.f64 (log1p.f64 n) #s(literal 1 binary64) (*.f64 n (log1p.f64 n)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 n)) (*.f64 n (log1p.f64 n)))
(fma.f64 (*.f64 n (log1p.f64 n)) #s(literal 1 binary64) (log1p.f64 n))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n #s(literal -1 binary64)) (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64)))))
(/.f64 (log1p.f64 n) (/.f64 #s(literal 1 binary64) (+.f64 n #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 n #s(literal -1 binary64)) (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))))))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))) (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (+.f64 n #s(literal -1 binary64)))
(/.f64 (neg.f64 (log1p.f64 n)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 n #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64)))) (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) n))
(/.f64 (+.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 n) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (*.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 n) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (*.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n))))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 n) #s(literal 2 binary64))) (-.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64))) (-.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n))))
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 (*.f64 n n) (neg.f64 n) #s(literal -1 binary64))) (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(/.f64 (*.f64 (log1p.f64 n) (neg.f64 (fma.f64 n n #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (log1p.f64 n) (-.f64 #s(literal 1 binary64) (*.f64 n n))) (-.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (fma.f64 (*.f64 n n) (neg.f64 n) #s(literal -1 binary64)) (log1p.f64 n)) (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(/.f64 (*.f64 (neg.f64 (fma.f64 n n #s(literal -1 binary64))) (log1p.f64 n)) (-.f64 #s(literal 1 binary64) n))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n)) (log1p.f64 n)) (-.f64 #s(literal 1 binary64) n))
(/.f64 (exp.f64 (log.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (-.f64 (*.f64 n n) n))))
(/.f64 (exp.f64 (log.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))))) (exp.f64 (log.f64 (+.f64 n #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (*.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (*.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 n) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 n (log1p.f64 n)) (log1p.f64 n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 n) #s(literal 2 binary64)) (pow.f64 (*.f64 n (log1p.f64 n)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 n) (*.f64 n (log1p.f64 n)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (fma.f64 (*.f64 n n) (neg.f64 n) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (neg.f64 (fma.f64 n n #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (*.f64 (log1p.f64 n) (-.f64 #s(literal 1 binary64) (*.f64 n n)))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 n n) (neg.f64 n) #s(literal -1 binary64)) (log1p.f64 n))) (neg.f64 (neg.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 n n #s(literal -1 binary64))) (log1p.f64 n))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 n n)) (log1p.f64 n))) (neg.f64 (-.f64 #s(literal 1 binary64) n)))
(pow.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n)) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 n #s(literal -1 binary64)) (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 n #s(literal 1 binary64)) (log1p.f64 n))
(*.f64 (log1p.f64 n) (+.f64 n #s(literal 1 binary64)))
(*.f64 (fma.f64 n (*.f64 n n) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))) (log1p.f64 n)))
(*.f64 (fma.f64 n (*.f64 n n) #s(literal 1 binary64)) (/.f64 (log1p.f64 n) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(*.f64 (fma.f64 n n #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n #s(literal -1 binary64))) (log1p.f64 n)))
(*.f64 (fma.f64 n n #s(literal -1 binary64)) (/.f64 (log1p.f64 n) (+.f64 n #s(literal -1 binary64))))
(*.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 #s(literal 1 binary64) n))))
(*.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 n #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))) (fma.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)) (*.f64 (-.f64 #s(literal 1 binary64) n) (*.f64 (-.f64 #s(literal 1 binary64) n) (-.f64 #s(literal 1 binary64) n))))) (fma.f64 n (*.f64 n (*.f64 n n)) (*.f64 (-.f64 #s(literal 1 binary64) n) (-.f64 (-.f64 #s(literal 1 binary64) n) (*.f64 n n)))))
(*.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n (*.f64 n n) #s(literal 1 binary64))) (*.f64 (fma.f64 n n (-.f64 #s(literal 1 binary64) n)) (+.f64 (fma.f64 n n #s(literal -1 binary64)) n))) (+.f64 (fma.f64 n n #s(literal -1 binary64)) n))
(*.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (fma.f64 n n #s(literal -1 binary64))) (+.f64 n #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n #s(literal -1 binary64))) (fma.f64 n (*.f64 n n) #s(literal -1 binary64))) (fma.f64 n n (+.f64 n #s(literal 1 binary64))))
(*.f64 (exp.f64 (log1p.f64 n)) (exp.f64 (log.f64 (log1p.f64 n))))
(*.f64 (exp.f64 (log.f64 (log1p.f64 n))) (exp.f64 (log1p.f64 n)))
(log.f64 n)
(+.f64 (log.f64 n) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 n))

eval8.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Compiler

Compiled 1 595 to 120 computations (92.5% saved)

prune3.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New93194
Fresh000
Picked101
Done000
Total94195
Accuracy
100.0%
Counts
95 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify126.0ms (2.2%)

Memory
-12.2MiB live, 144.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 n)
cost-diff0
(+.f64 #s(literal 1 binary64) (log.f64 n))
cost-diff384
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))
Rules
6 514×associate-+r-
3 486×lower-+.f32
3 484×lower-+.f64
2 966×sub-neg
2 040×lower--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0514
0818
11614
22210
32710
46710
516910
640410
779210
893810
999310
1099310
11213810
12259010
13277410
14277410
15277410
16698110
17726210
18726210
0807010
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (log.f64 n))
#s(literal 1 binary64)
(log.f64 n)
n
Outputs
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))
(log.f64 n)
(+.f64 #s(literal 1 binary64) (log.f64 n))
#s(literal 1 binary64)
(log.f64 n)
n

localize21.0ms (0.4%)

Memory
-9.9MiB live, 27.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (log.f64 n))
accuracy100.0%
(log.f64 n)
Samples
11.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-log: 3.0ms (48.9% of total)
ival-sub: 1.0ms (16.3% of total)
ival-add: 1.0ms (16.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (log.f64 n)>
#<alt (+.f64 #s(literal 1 binary64) (log.f64 n))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))>
Outputs
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ 1 (log n))>
#<alt (+ 1 (log n))>
#<alt (+ 1 (log n))>
#<alt (+ 1 (log n))>
#<alt (+ 1 (* -1 (log (/ 1 n))))>
#<alt (+ 1 (* -1 (log (/ 1 n))))>
#<alt (+ 1 (* -1 (log (/ 1 n))))>
#<alt (+ 1 (* -1 (log (/ 1 n))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
n
@0
(+ 1 (log n))
0.0ms
n
@-inf
(+ 1 (log n))
0.0ms
n
@inf
(+ 1 (log n))
0.0ms
n
@0
(log n)
0.0ms
n
@-inf
(- (+ 1 (log n)) 1)

rewrite345.0ms (6%)

Memory
-5.9MiB live, 395.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 860×lower-fma.f64
9 860×lower-fma.f32
4 006×lower-*.f64
4 006×lower-*.f32
2 146×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
088
1398
22998
353348
082658
Stop Event
iter limit
node limit
iter limit
Counts
3 → 589
Calls
Call 1
Inputs
(log.f64 n)
(+.f64 #s(literal 1 binary64) (log.f64 n))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))
Outputs
(log.f64 n)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 n)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64))
(+.f64 (log.f64 n) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 n))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 n)))
(+.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64))
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(*.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 n)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) (-.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (log.f64 n) #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 n))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (log.f64 n))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 6 binary64)) (pow.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 4 binary64)) (pow.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) (log.f64 n)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) (log.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 n)) #s(literal 1 binary64)))

simplify23.0ms (0.4%)

Memory
-10.6MiB live, 32.5MiB allocated
Algorithm
egg-herbie
Rules
288×lower-fma.f64
288×lower-fma.f32
128×lower-*.f64
128×lower-*.f32
120×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015168
128156
244156
378156
4120156
5184156
6271156
7322156
8440156
9478156
10500156
0500156
Stop Event
iter limit
saturated
Counts
36 → 36
Calls
Call 1
Inputs
(log n)
(log n)
(log n)
(log n)
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ 1 (log n))
(+ 1 (log n))
(+ 1 (log n))
(+ 1 (log n))
(+ 1 (* -1 (log (/ 1 n))))
(+ 1 (* -1 (log (/ 1 n))))
(+ 1 (* -1 (log (/ 1 n))))
(+ 1 (* -1 (log (/ 1 n))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(log n)
(log n)
(log n)
(log n)
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
Outputs
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ 1 (log n))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+ 1 (log n))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+ 1 (log n))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+ 1 (log n))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+ 1 (* -1 (log (/ 1 n))))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+ 1 (* -1 (log (/ 1 n))))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+ 1 (* -1 (log (/ 1 n))))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+ 1 (* -1 (log (/ 1 n))))
(+.f64 (log.f64 n) #s(literal 1 binary64))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ 1 (+ (log -1) (* -1 (log (/ -1 n)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))

simplify95.0ms (1.7%)

Memory
36.4MiB live, 151.5MiB allocated
Algorithm
egg-herbie
Rules
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072913347
173013347
073013347
Stop Event
saturated
saturated
Counts
589 → 0
Calls
Call 1
Inputs
(log.f64 n)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 n)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64))
(+.f64 (log.f64 n) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 n))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 n)))
(+.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) (+.f64 (log.f64 n) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))
(-.f64 (log.f64 n) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) (+.f64 (log.f64 n) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 n))) (-.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 n))) (+.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 n)))) (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 n))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 n) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) (+.f64 (log.f64 n) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))))))
(fma.f64 (log.f64 n) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 n) (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 n) (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))))))
(fma.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 n) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (*.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (/.f64 (log.f64 n) (+.f64 (log.f64 n) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 n)) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log.f64 n) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 n) (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 n) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
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(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))
(pow.f64 (log.f64 n) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) (-.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 n))
(*.f64 (log.f64 n) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64)))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64))))
(*.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (*.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64)))))
(*.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (/.f64 (log.f64 n) (+.f64 (log.f64 n) #s(literal 2 binary64))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 n)) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) (-.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (log.f64 n) #s(literal 2 binary64))) (log.f64 n))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64))) (log.f64 n))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 6 binary64)) (pow.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 4 binary64)) (pow.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) (log.f64 n)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) (log.f64 n) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))) (neg.f64 (log.f64 n)))
(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (log.f64 n) #s(literal 2 binary64))) #s(literal -1 binary64)) (log.f64 n))
(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 9 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 6 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (log.f64 n) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log.f64 n) (+.f64 (log.f64 n) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 n)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) (-.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (+.f64 (log.f64 n) #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 n))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (log.f64 n))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 6 binary64)) (pow.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 4 binary64)) (pow.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) (log.f64 n)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) (log.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 n)) #s(literal 1 binary64)))
Outputs
(log.f64 n)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 n)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64))
(+.f64 (log.f64 n) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 n))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 n)))
(+.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) (+.f64 (log.f64 n) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))
(-.f64 (log.f64 n) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) (+.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) (+.f64 (log.f64 n) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 n) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 n))) (-.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 n))) (+.f64 (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 n))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (log.f64 n) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log.f64 n)))) (/.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log.f64 n))))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 n) #s(literal 0 binary64))
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(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 6 binary64)) (pow.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (-.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 4 binary64)) (pow.f64 (+.f64 (log.f64 n) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) (log.f64 n)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) (log.f64 n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 n)) #s(literal 1 binary64)))

eval5.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Compiler

Compiled 457 to 17 computations (96.3% saved)

prune23.0ms (0.4%)

Memory
-41.5MiB live, 2.0MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New71172
Fresh000
Picked101
Done000
Total72173
Accuracy
100.0%
Counts
73 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 n)
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 n)
Rules
lift-log.f64
lower-log.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023
033
033
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(log.f64 n)
n
Outputs
(log.f64 n)
n

localize11.0ms (0.2%)

Memory
8.7MiB live, 8.7MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 n)
Samples
7.0ms256×0valid
Compiler

Compiled 5 to 4 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-log: 3.0ms (89.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#<alt (log.f64 n)>
Outputs
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (log n)>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (* -1 (log (/ 1 n)))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
#<alt (+ (log -1) (* -1 (log (/ -1 n))))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
n
@0
(log n)
0.0ms
n
@-inf
(log n)
0.0ms
n
@inf
(log n)

rewrite7.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
lift-log.f64
lower-log.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
032
032
Stop Event
iter limit
saturated
iter limit
Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 n)
Outputs
(log.f64 n)

simplify9.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated
Algorithm
egg-herbie
Rules
96×lower-fma.f64
96×lower-fma.f32
64×lower-*.f64
64×lower-*.f32
40×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
12044
22744
34544
46444
58244
611044
712944
817144
918644
1019444
019444
Stop Event
iter limit
saturated
Counts
12 → 12
Calls
Call 1
Inputs
(log n)
(log n)
(log n)
(log n)
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(* -1 (log (/ 1 n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
(+ (log -1) (* -1 (log (/ -1 n))))
Outputs
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(log n)
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(* -1 (log (/ 1 n)))
(log.f64 n)
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(+ (log -1) (* -1 (log (/ -1 n))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) n)))

simplify3.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
022
Stop Event
saturated
saturated
Counts
1 → 0
Calls
Call 1
Inputs
(log.f64 n)
Outputs
(log.f64 n)

eval4.0ms (0.1%)

Memory
-34.3MiB live, 4.6MiB allocated
Compiler

Compiled 89 to 7 computations (92.1% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New24024
Fresh000
Picked011
Done000
Total24125
Accuracy
100.0%
Counts
25 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(log.f64 n)
Compiler

Compiled 27 to 13 computations (51.9% saved)

regimes5.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Accuracy

Total -63.0b remaining (-∞%)

Threshold costs -63b (-∞%)

Counts
3 → 1
Calls
Call 1
Inputs
(log.f64 n)
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 n)) #s(literal 1 binary64))
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
Outputs
(log.f64 n)
Calls

3 calls:

2.0ms
n
1.0ms
(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
1.0ms
(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1n
100.0%1(-.f64 (-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n))) #s(literal 1 binary64))
100.0%1(-.f64 (*.f64 (+.f64 n #s(literal 1 binary64)) (log.f64 (+.f64 n #s(literal 1 binary64)))) (*.f64 n (log.f64 n)))
Compiler

Compiled 32 to 18 computations (43.8% saved)

simplify5.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
Stop Event
saturated
Calls
Call 1
Inputs
(log.f64 n)
Outputs
(log.f64 n)

soundness185.0ms (3.2%)

Memory
-15.3MiB live, 107.9MiB allocated
Rules
18 554×lower-fma.f64
18 554×lower-fma.f32
3 344×lower-+.f64
3 344×lower-+.f32
3 182×lower--.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015168
128156
244156
378156
4120156
5184156
6271156
7322156
8440156
9478156
10500156
0500156
0109497
1351452
21101437
33969425
08496406
Stop Event
done
iter limit
node limit
iter limit
saturated
Compiler

Compiled 13 to 9 computations (30.8% saved)

preprocess29.0ms (0.5%)

Memory
22.9MiB live, 61.3MiB allocated
Compiler

Compiled 88 to 56 computations (36.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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