qlog (example 3.10)

Time bar (total: 9.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze6.0ms (0.1%)

Memory
-23.8MiB live, 14.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
25%12.5%37.5%50%0%0%0%3
62.5%31.2%18.7%50%0%0%0%4
81.3%40.6%9.4%50%0%0%0%5
90.6%45.3%4.7%50%0%0%0%6
95.3%47.6%2.3%50%0%0%0%7
97.7%48.8%1.2%50%0%0%0%8
98.8%49.4%0.6%50%0%0%0%9
99.4%49.7%0.3%50%0%0%0%10
99.7%49.8%0.1%50%0%0%0%11
99.9%49.9%0.1%50%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample2.3s (23.9%)

Memory
46.6MiB live, 2 382.1MiB allocated
Samples
1.0s3 035×2valid
917.0ms4 910×1valid
43.0ms311×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-log: 990.0ms (58.8% of total)
adjust: 176.0ms (10.5% of total)
ival-div: 143.0ms (8.5% of total)
ival-sub: 131.0ms (7.8% of total)
ival-fabs: 110.0ms (6.5% of total)
ival-log1p: 102.0ms (6.1% of total)
ival-<=: 23.0ms (1.4% of total)
exact: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain189.0ms (2%)

Memory
4.2MiB live, 129.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(log.f64 (+.f64 #s(literal 1 binary64) x))
2550-0-(log.f64 (-.f64 #s(literal 1 binary64) x))
00-0-(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 #s(literal 1 binary64) x))sensitivity2551
log.f64(log.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2551
Confusion
Predicted +Predicted -
+2510
-41
Precision
0.984313725490196
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25100
-410
Precision?
0.98046875
Recall?
1.0
Freqs
test
numberfreq
01
2255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
68.0ms192×2valid
54.0ms302×1valid
1.0ms18×0valid
Compiler

Compiled 64 to 25 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-log: 64.0ms (64% of total)
adjust: 14.0ms (14% of total)
ival-div: 8.0ms (8% of total)
ival-sub: 7.0ms (7% of total)
ival-add: 3.0ms (3% of total)
ival-log1p: 3.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess20.0ms (0.2%)

Memory
-24.3MiB live, 13.7MiB allocated
Algorithm
egg-herbie
Rules
44×sub-neg
32×lower-+.f32
30×lower-+.f64
22×lower--.f32
20×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12419
24319
37919
411519
515219
617519
718619
818919
919019
079
0129
1179
2219
3269
4339
5419
6519
7659
8699
0696
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify5.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
cost-diff64
(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff192
(log.f64 (+.f64 #s(literal 1 binary64) x))
Rules
32×lower-+.f32
30×lower-+.f64
22×lower--.f32
20×lower--.f64
16×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01225
11725
22125
32625
43325
54125
65125
76525
86925
06919
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
Outputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)

localize71.0ms (0.7%)

Memory
3.0MiB live, 40.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0.015625
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy58.8350621977886
(log.f64 (+.f64 #s(literal 1 binary64) x))
accuracy58.84477284144375
(log.f64 (-.f64 #s(literal 1 binary64) x))
Samples
34.0ms96×2valid
26.0ms151×1valid
1.0ms0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log: 31.0ms (63.8% of total)
adjust: 7.0ms (14.4% of total)
ival-div: 4.0ms (8.2% of total)
ival-sub: 4.0ms (8.2% of total)
ival-log1p: 2.0ms (4.1% of total)
ival-add: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/2 x))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) (taylor 0 x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 x))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -1/3 x) 1/2)) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) (taylor 0 x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))) (taylor inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x)) (taylor inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (log (/ -1 x))) (/ 1 x)) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x))) (taylor -inf x) (#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) (taylor inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) (taylor inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) (taylor inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) (taylor -inf x) (#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (log (- 1 x)) (log (+ 1 x)))
1.0ms
x
@inf
(/ (log (- 1 x)) (log (+ 1 x)))
0.0ms
x
@0
(log (+ 1 x))
0.0ms
x
@inf
(log (+ 1 x))
0.0ms
x
@-inf
(log (+ 1 x))

simplify288.0ms (3%)

Memory
-0.1MiB live, 281.1MiB allocated
Algorithm
egg-herbie
Rules
12 270×lower-fma.f64
12 270×lower-fma.f32
4 396×lower-+.f64
4 396×lower-+.f32
3 574×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171122
16581000
22012927
08297900
Stop Event
iter limit
node limit
Counts
60 → 57
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(+.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (log.f64 x)))) (+.f64 (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) (*.f64 x x)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (+.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (log.f64 x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) (*.f64 x x))))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))))) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+.f64 (-.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) x) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

rewrite179.0ms (1.9%)

Memory
11.5MiB live, 170.4MiB allocated
Rules
3 056×lower-*.f64
3 056×lower-*.f32
2 824×lower-fma.f64
2 824×lower-fma.f32
2 298×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01223
14123
224523
3216723
01044015
Stop Event
iter limit
node limit
iter limit
Counts
5 → 842
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) x)
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log1p.f64 x)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 (*.f64 x (neg.f64 x))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (neg.f64 (log1p.f64 (fma.f64 x x x))))
(+.f64 (log1p.f64 (fma.f64 x x x)) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (neg.f64 (log1p.f64 (fma.f64 x x x))) (log1p.f64 (*.f64 x (*.f64 x x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))))) (log1p.f64 (neg.f64 (fma.f64 x x x))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (log1p.f64 (fma.f64 x x x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(-.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (log.f64 (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (log.f64 (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (log.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) #s(literal 1 binary64)) (log1p.f64 x))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 1 binary64)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (log1p.f64 (fma.f64 x x x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log1p.f64 x))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (log1p.f64 x))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (neg.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (+.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (neg.f64 x)))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 x x)))) (*.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 x x)))) (*.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (pow.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))

eval109.0ms (1.1%)

Memory
-7.7MiB live, 104.0MiB allocated
Compiler

Compiled 28 479 to 2 475 computations (91.3% saved)

prune128.0ms (1.3%)

Memory
14.4MiB live, 180.5MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New8909899
Fresh000
Picked011
Done000
Total89010900
Accuracy
100.0%
Counts
900 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.4%
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
5.6%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
3.7%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
3.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
5.5%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
100.0%
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
99.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
99.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
99.2%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
98.3%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 200 to 127 computations (36.5% saved)

simplify344.0ms (3.6%)

Memory
12.1MiB live, 168.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(log1p.f64 (neg.f64 x))
cost-diff0
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
cost-diff192
(log.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
cost-diff64
(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
cost-diff0
(log1p.f64 (*.f64 x (neg.f64 x)))
cost-diff0
(/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
cost-diff0
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
cost-diff13504
(/.f64 (log1p.f64 x) (log1p.f64 x))
Rules
13 040×lower-fma.f32
13 030×lower-fma.f64
2 758×lower-+.f32
2 756×lower-+.f64
2 504×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034171
063159
1102159
2163159
3263159
4551159
5792159
61411159
72129159
83299159
94376159
104658159
114709159
125459159
136142159
146597159
156857159
167241159
177297159
187556159
197644159
08138159
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(log1p.f64 (*.f64 x (neg.f64 x)))
(*.f64 x (neg.f64 x))
x
(neg.f64 x)
(log1p.f64 x)
(/.f64 (log1p.f64 x) (log1p.f64 x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
(*.f64 x x)
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(literal -1 binary64))
(/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(log1p.f64 (*.f64 x (neg.f64 x)))
(*.f64 x (neg.f64 x))
x
(neg.f64 x)
(log1p.f64 x)
(/.f64 (log1p.f64 x) (log1p.f64 x))
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(/.f64 (log1p.f64 (neg.f64 x)) #s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(log1p.f64 (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
#s(approx (log (+ 1 x)) (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) x)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
(*.f64 x x)
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log.f64 (+.f64 #s(literal 1 binary64) x))
(log1p.f64 x)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

localize218.0ms (2.3%)

Memory
-0.6MiB live, 196.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0
(log1p.f64 (neg.f64 x))
accuracy0.015625
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy58.8350621977886
(log.f64 (+.f64 #s(literal 1 binary64) x))
accuracy0.01171875
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
accuracy0.015625
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
accuracy0.13534388770486594
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
accuracy58.84477284144375
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy0
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
accuracy0.31628554235221723
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy1.1033358615758957
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
accuracy0
(neg.f64 x)
accuracy0
(log1p.f64 x)
accuracy0.0078125
(log1p.f64 (*.f64 x (neg.f64 x)))
accuracy30.85136407334773
(/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
Samples
100.0ms96×2valid
76.0ms151×1valid
2.0ms0valid
Compiler

Compiled 182 to 32 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-log: 64.0ms (42.8% of total)
adjust: 21.0ms (14% of total)
ival-mult: 20.0ms (13.4% of total)
ival-div: 13.0ms (8.7% of total)
ival-add: 10.0ms (6.7% of total)
ival-log1p: 7.0ms (4.7% of total)
const: 7.0ms (4.7% of total)
ival-sub: 5.0ms (3.3% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
-14.6MiB live, 20.4MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt (log1p.f64 (*.f64 x (neg.f64 x))) (patch (log1p.f64 (*.f64 x (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (patch (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (-.f64 #s(literal 1 binary64) x)) (patch (log.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (log1p.f64 x) (log1p.f64 x)) (patch (/.f64 (log1p.f64 x) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1) (taylor inf x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1) (taylor -inf x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -5/12 x) 1/2)) 1)) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1)) (taylor 0 x) (#s(alt (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #<representation binary64>) () ())) ())
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Calls

54 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
(- (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x))))
2.0ms
x
@0
(log (+ 1 (* x (neg x))))
1.0ms
x
@inf
(- (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x))))
1.0ms
x
@-inf
(/ (log (+ 1 (* x (neg x)))) (log (+ 1 x)))
0.0ms
x
@0
(/ (log (+ 1 x)) (log (+ 1 x)))

simplify288.0ms (3%)

Memory
11.8MiB live, 323.4MiB allocated
Algorithm
egg-herbie
Rules
10 304×lower-fma.f64
10 304×lower-fma.f32
4 520×lower-*.f64
4 520×lower-*.f32
4 468×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03635756
111005229
235355065
081614864
Stop Event
iter limit
node limit
Counts
216 → 213
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(+ (log -1) (* -2 (log (/ -1 x))))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
-1
(- (* -1 x) 1)
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(-.f64 (+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (+.f64 (+.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (log.f64 x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))))) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 x (*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (*.f64 x x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))) (*.f64 x (*.f64 x x))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64))))) x) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 #s(literal -1 binary64))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))))
(* -1 (log (/ -1 x)))
(neg.f64 (neg.f64 (log.f64 (neg.f64 x))))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 (log.f64 (neg.f64 x))))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x)) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (neg.f64 (log.f64 (neg.f64 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(neg.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(neg.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(neg.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))))

rewrite356.0ms (3.7%)

Memory
8.7MiB live, 254.8MiB allocated
Rules
4 662×lower-fma.f32
4 652×lower-fma.f64
3 838×lower-/.f32
3 834×lower-/.f64
3 702×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034128
063104
1248104
2167089
0873487
Stop Event
iter limit
node limit
iter limit
Counts
18 → 464
Calls
Call 1
Inputs
(/.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(log1p.f64 (*.f64 x (neg.f64 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(-.f64 #s(literal 1 binary64) x)
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(log1p.f64 x)
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
Outputs
#s(literal 1 binary64)
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (log1p.f64 x)) (/.f64 (log1p.f64 (*.f64 (*.f64 x (neg.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x)))) (log1p.f64 x)) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (*.f64 x x)) (neg.f64 (log1p.f64 x))))
(neg.f64 (/.f64 (log1p.f64 (*.f64 x x)) (neg.f64 (log1p.f64 x))))
(/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (*.f64 x x))) (fma.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 (fma.f64 x x x)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (fma.f64 x x x))))))
(log1p.f64 x)
(log1p.f64 (neg.f64 x))
(log1p.f64 (neg.f64 (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(neg.f64 x)
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 (log1p.f64 (*.f64 x x)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(neg.f64 (neg.f64 (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))))) (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x x)) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (*.f64 x x))) (fma.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 (fma.f64 x x x)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (fma.f64 x x x))))))
(log1p.f64 x)
(log1p.f64 (neg.f64 x))
(log1p.f64 (neg.f64 (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal -1/12 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))

eval111.0ms (1.2%)

Memory
-25.6MiB live, 128.3MiB allocated
Compiler

Compiled 22 940 to 2 236 computations (90.3% saved)

prune100.0ms (1%)

Memory
6.7MiB live, 165.6MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New7823785
Fresh224
Picked325
Done101
Total7887795
Accuracy
100.0%
Counts
795 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.9%
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
100.0%
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
99.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
99.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
99.2%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
98.3%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 140 to 83 computations (40.7% saved)

simplify483.0ms (5%)

Memory
-20.8MiB live, 241.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 x)
cost-diff0
(neg.f64 x)
cost-diff0
(log1p.f64 (neg.f64 x))
cost-diff0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
cost-diff0
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
cost-diff0
(*.f64 x (neg.f64 x))
cost-diff0
(log1p.f64 (*.f64 x (neg.f64 x)))
cost-diff0
(/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
cost-diff0
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
Rules
16 928×lower-fma.f32
16 910×lower-fma.f64
2 772×lower-+.f64
2 772×lower-+.f32
2 736×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040249
073237
1136237
2285237
3559237
41090237
51754237
63493237
74676237
85937237
96734237
107172237
117360237
127465237
137547237
147710237
157789237
167838237
177867237
187873237
197873237
08319237
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(log1p.f64 (*.f64 x (neg.f64 x)))
(*.f64 x (neg.f64 x))
x
(neg.f64 x)
(log1p.f64 x)
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)
Outputs
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(log1p.f64 (*.f64 x (neg.f64 x)))
(*.f64 x (neg.f64 x))
x
(neg.f64 x)
(log1p.f64 x)
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 x x)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)

localize371.0ms (3.9%)

Memory
4.7MiB live, 367.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0
(log1p.f64 (neg.f64 x))
accuracy0
(log1p.f64 x)
accuracy0.015625
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
accuracy0.015625
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
accuracy0.01953125
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
accuracy0.13534388770486594
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
accuracy0.13698060299715037
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
accuracy0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
accuracy0
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
accuracy0
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
accuracy0.14814408551323258
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
accuracy0
(-.f64 #s(literal -1 binary64) x)
accuracy0.5107062632765107
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
accuracy0
(log1p.f64 x)
accuracy0
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
accuracy0.0078125
(log1p.f64 (*.f64 x (neg.f64 x)))
accuracy30.85136407334773
(/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
Samples
106.0ms151×1valid
95.0ms96×2valid
3.0ms0valid
Compiler

Compiled 237 to 42 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-log: 39.0ms (23.8% of total)
adjust: 36.0ms (21.9% of total)
ival-mult: 26.0ms (15.8% of total)
ival-add: 19.0ms (11.6% of total)
const: 15.0ms (9.1% of total)
ival-div: 13.0ms (7.9% of total)
ival-log1p: 8.0ms (4.9% of total)
ival-sub: 6.0ms (3.7% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt (log1p.f64 (*.f64 x (neg.f64 x))) (patch (log1p.f64 (*.f64 x (neg.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (patch (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt (log1p.f64 (neg.f64 x)) (patch (log1p.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (patch #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) (taylor inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (patch (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
Calls

63 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* x (neg x))
0.0ms
x
@0
(* x (neg x))
0.0ms
x
@-inf
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
0.0ms
x
@inf
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
0.0ms
x
@-inf
(+ (* x (+ (* x (+ (* x -5/12) -1/2)) -1)) -1)

simplify316.0ms (3.3%)

Memory
-12.0MiB live, 343.3MiB allocated
Algorithm
egg-herbie
Rules
8 686×lower-fma.f64
8 686×lower-fma.f32
4 402×lower-*.f64
4 402×lower-*.f32
3 690×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04116045
112815526
243775343
082485128
Stop Event
iter limit
node limit
Counts
252 → 250
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(- (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) 1)
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (+ 1 (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
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(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(+ (log -1) (* -2 (log (/ -1 x))))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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x
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1
1
1
1
1
1
1
1
1
1
1
1
x
(* x (+ 1 (* -1/2 x)))
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(- (* -1/4 x) 1/3)
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Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
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x
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1
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#s(literal 1 binary64)
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x
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-1/3
#s(literal -1/3 binary64)
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rewrite260.0ms (2.7%)

Memory
29.4MiB live, 255.0MiB allocated
Rules
4 572×lower-fma.f32
4 554×lower-fma.f64
3 706×lower-*.f32
3 700×lower-*.f64
3 556×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040197
073181
1321181
22472167
08702164
Stop Event
iter limit
node limit
iter limit
Counts
21 → 386
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(log1p.f64 (*.f64 x (neg.f64 x)))
(*.f64 x (neg.f64 x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
#s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(log1p.f64 x)
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
Outputs
(+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))
(+.f64 (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))) (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))))
(fma.f64 (log1p.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 x))) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 x x)) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))) (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))) (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (*.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))) (-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))) (neg.f64 (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (*.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))) (neg.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64))) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))) (*.f64 (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))) (*.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))) (*.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 3 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (*.f64 x x)) (neg.f64 (log1p.f64 x))))
(-.f64 (/.f64 (log1p.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (log1p.f64 x)) (/.f64 (log1p.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 x x))) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x)))) (log1p.f64 x)) (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))
(neg.f64 (/.f64 (log1p.f64 (*.f64 x x)) (neg.f64 (log1p.f64 x))))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 x x))) (log1p.f64 x)))
(/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log1p.f64 x)
(log1p.f64 (neg.f64 x))
(log1p.f64 (neg.f64 (neg.f64 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
#s(approx (log (- 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))

eval101.0ms (1.1%)

Memory
-14.9MiB live, 145.0MiB allocated
Compiler

Compiled 19 529 to 1 824 computations (90.7% saved)

prune126.0ms (1.3%)

Memory
-6.4MiB live, 157.1MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New6884692
Fresh000
Picked235
Done022
Total6909699
Accuracy
100.0%
Counts
699 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
100.0%
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
99.9%
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
99.9%
(-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
99.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
99.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
99.2%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
99.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)))
98.3%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 140 to 82 computations (41.4% saved)

simplify229.0ms (2.4%)

Memory
21.2MiB live, 251.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
cost-diff0
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
cost-diff0
#s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x))
cost-diff0
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
cost-diff0
(-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)))
cost-diff128
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)))
cost-diff256
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))
Rules
13 034×lower-fma.f32
13 016×lower-fma.f64
3 040×lower-*.f32
3 024×lower-*.f64
2 152×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050480
087454
1186446
2459438
31061438
42236438
54224438
66219438
77408438
08045424
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)))
#s(literal -1 binary64)
(*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
x
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
(*.f64 x x)
(neg.f64 x)
(-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
#s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
#s(literal -7/24 binary64)
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x))
#s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 x x)
x
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log1p.f64 x)
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
#s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log1p.f64 x)
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
x
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
(*.f64 x x)
(neg.f64 x)
(-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
#s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
#s(literal -7/24 binary64)
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x))
(/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) (log1p.f64 x))
#s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
#s(approx (log (+ 1 (* x (neg x)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(*.f64 x x)
x
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log1p.f64 x)
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
(/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))) (log1p.f64 x))
#s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
#s(approx (log (+ 1 (* x (neg x)))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log1p.f64 x)
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
#s(literal 1 binary64)

localize443.0ms (4.6%)

Memory
8.6MiB live, 331.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
accuracy0.0078125
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
accuracy0.016593466849389005
#s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
accuracy30.85136407334773
(/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
accuracy0.0078125
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
accuracy0.06242163552096388
#s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
accuracy0.34765625
(*.f64 x #s(literal -1/3 binary64))
accuracy30.85136407334773
(/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x))
accuracy0
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
accuracy0.01171875
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
accuracy0.015625
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
accuracy0.14263170942181197
#s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
accuracy0
(neg.f64 x)
accuracy0.00390625
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))
accuracy0.046875
(*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))
accuracy0.14814408551323258
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)))
Samples
142.0ms151×1valid
101.0ms96×2valid
3.0ms0valid
Compiler

Compiled 389 to 48 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-mult: 72.0ms (35.8% of total)
ival-log: 35.0ms (17.4% of total)
adjust: 29.0ms (14.4% of total)
ival-add: 22.0ms (11% of total)
const: 16.0ms (8% of total)
ival-div: 11.0ms (5.5% of total)
ival-sub: 6.0ms (3% of total)
ival-log1p: 6.0ms (3% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-3.3MiB live, 33.5MiB allocated
Counts
22 → 264
Calls
Call 1
Inputs
#s(alt (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)) (patch (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) (patch (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (patch (-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (patch (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (patch (-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) (patch (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) (patch (-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) (patch (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (patch #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
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#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt -1 (taylor 0 x) (#s(alt (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)) (patch (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))) (taylor inf x) (#s(alt (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)) (patch (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 3)) (taylor -inf x) (#s(alt (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)) (patch (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)) (patch (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x))))) (taylor -inf x) (#s(alt (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)) (patch (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (- (* (pow x 2) (- (* -5/12 x) 1/2)) 1) (taylor 0 x) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -5/12 x) 1/2)) 1) (taylor 0 x) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 3)) (taylor inf x) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x))))) (taylor inf x) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12)) (taylor inf x) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12)) (taylor inf x) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -5/12 (pow x 3)) (taylor -inf x) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))) (taylor -inf x) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))) (taylor -inf x) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))) (taylor inf x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))) (taylor inf x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))))) (taylor inf x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))) #<representation binary64>) () ())) ())
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#s(alt -5/12 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (patch (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -7/24 x) 5/12) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (patch (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -7/24 x) 5/12) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (patch (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -7/24 x) 5/12) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (patch (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -7/24 x) (taylor inf x) (#s(alt (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (patch (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (patch (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (patch (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -7/24 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (patch (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (patch (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (patch (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 7/24 (* 5/12 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) (patch (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 x) (#s(alt #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (patch #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (patch #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (patch #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (patch #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (patch #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) (patch #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal -1/3 binary64)) (patch (*.f64 x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 x) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/3 (pow x 2)) 1/2)) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/3 (pow x 2)) 1/2)) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/3 (pow x 2)) 1/2)) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow x 3)) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (patch (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (* -1/4 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/4 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (patch (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
Calls

66 calls:

TimeVariablePointExpression
4.0ms
x
@0
(* (+ (* x -5/12) -1/2) (* x x))
2.0ms
x
@-inf
(* x (+ (* x (+ (* x (+ (* x -7/24) -5/12)) -1/2)) -1))
1.0ms
x
@inf
(* (* x x) (+ (* x (* x (+ (* x (* x -1/3)) -1/2))) -1))
0.0ms
x
@inf
(* (* x x) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/4)) -1/3)) -1/2)) -1))
0.0ms
x
@inf
(* x (+ (* x (* x -1/3)) -1/2))

simplify282.0ms (2.9%)

Memory
-8.5MiB live, 335.3MiB allocated
Algorithm
egg-herbie
Rules
9 222×lower-fma.f64
9 222×lower-fma.f32
4 856×lower-*.f64
4 856×lower-*.f32
4 110×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03776836
111716446
241796237
086495918
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
-1
(- (* -1/2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)
(- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
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(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ 1 (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(- (+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)))) (+ (* -1/3 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x))))))) 1)
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -7/24 x) 5/12)) 1/2)) 1))
(* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (log (/ 1 x))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (log (/ 1 x)))) (+ (* 1/3 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))) (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))))) (pow x 3))) (+ (/ 1 (* (pow x 2) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -2 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(/ (+ (log -1) (* -2 (log (/ -1 x)))) (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* -2 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (log -1) (* -2 (log (/ -1 x)))) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (log -1) (+ (log -1) (* -1 (log (/ -1 x)))))))
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(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(+ (log -1) (* -2 (log (/ 1 x))))
(- (+ (log -1) (* -2 (log (/ 1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(+ (log -1) (* -2 (log (/ -1 x))))
(- (+ (log -1) (* -2 (log (/ -1 x)))) (/ 1 (pow x 2)))
(+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))))) (/ 1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/2 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/3 (pow x 2)) 1/2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(* -1/4 (pow x 8))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1/4 (pow x 8))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-5/12
(- (* -7/24 x) 5/12)
(- (* -7/24 x) 5/12)
(- (* -7/24 x) 5/12)
(* -7/24 x)
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -7/24 x)
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
1
1
1
1
1
1
1
1
1
1
1
1
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/2 x)
(* x (- (* -1/3 (pow x 2)) 1/2))
(* x (- (* -1/3 (pow x 2)) 1/2))
(* x (- (* -1/3 (pow x 2)) 1/2))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
-1/3
(- (* -1/4 (pow x 2)) 1/3)
(- (* -1/4 (pow x 2)) 1/3)
(- (* -1/4 (pow x 2)) 1/3)
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
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(* -5/12 (pow x 3))
(*.f64 x (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(neg.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal 5/12 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))))
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-1
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(- (* -1/2 (pow x 2)) 1)
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)
(fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -5/12 x) 1/2)) 1)
(fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))
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(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x)) 5/12))
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(* -5/12 (pow x 3))
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(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
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(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
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(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
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(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/4 (pow x 2)) 1/3)) 1/2)) 1))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* -1/4 (pow x 8))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* -1/4 (pow x 8))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/4))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) (pow x 4))) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
-5/12
#s(literal -5/12 binary64)
(- (* -7/24 x) 5/12)
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(- (* -7/24 x) 5/12)
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(- (* -7/24 x) 5/12)
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -7/24 x)
(*.f64 x #s(literal -7/24 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -7/24 x)
(*.f64 x #s(literal -7/24 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
(* -1 (* x (+ 7/24 (* 5/12 (/ 1 x)))))
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/3 (pow x 2)) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
(* x (- (* -1/3 (pow x 2)) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
(* x (- (* -1/3 (pow x 2)) 1/2))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal -1/2 binary64)))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(- (* -1/4 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(- (* -1/4 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))

rewrite316.0ms (3.3%)

Memory
19.8MiB live, 264.5MiB allocated
Rules
4 404×lower-*.f32
4 388×lower-*.f64
3 710×lower-fma.f32
3 692×lower-fma.f64
3 360×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050374
087356
1398348
23177348
08294326
Stop Event
iter limit
node limit
iter limit
Counts
22 → 473
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x))
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)))
(*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))
(-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
#s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x))
#s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x))
#s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(neg.f64 x)
(fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64))
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
(*.f64 x #s(literal -1/3 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(+.f64 (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(+.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 (neg.f64 x) (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)))
(-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)
(-.f64 #s(literal 0 binary64) (-.f64 x (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (+.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)))
(-.f64 (+.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 0 binary64)) x)
(fma.f64 #s(literal -1 binary64) x (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x)))) (neg.f64 x))
(fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x (-.f64 #s(literal -1 binary64) x))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64)) (+.f64 #s(literal 25/144 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/576 binary64)) (*.f64 x #s(literal 35/288 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64)) (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64))) (neg.f64 (+.f64 #s(literal 25/144 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 49/576 binary64)) (*.f64 x #s(literal 35/288 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64))) (neg.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64))))
(/.f64 (-.f64 #s(literal 25/144 binary64) (*.f64 (*.f64 x x) #s(literal 49/576 binary64))) (-.f64 #s(literal -5/12 binary64) (*.f64 x #s(literal -7/24 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 49/576 binary64)) (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64))) (*.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)) #s(literal 25/144 binary64))) (*.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)) (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 25/144 binary64) (*.f64 (*.f64 x x) #s(literal 49/576 binary64)))) (neg.f64 (-.f64 #s(literal -5/12 binary64) (*.f64 x #s(literal -7/24 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64)) (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -343/13824 binary64) #s(literal -125/1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal 25/144 binary64)) (*.f64 x #s(literal 35/288 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 49/576 binary64) #s(literal -25/144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -7/24 binary64) #s(literal 5/12 binary64))))
#s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64))
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal -1/8 binary64)) x) (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) x) (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) #s(literal -1/8 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) #s(literal -1/3 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x #s(literal -1/4 binary64)) x #s(literal -1/3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal -1/9 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64))) (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))

eval115.0ms (1.2%)

Memory
-12.0MiB live, 176.6MiB allocated
Compiler

Compiled 30 458 to 2 136 computations (93% saved)

prune391.0ms (4.1%)

Memory
-112.0MiB live, 178.0MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New7612763
Fresh000
Picked134
Done055
Total76210772
Accuracy
100.0%
Counts
772 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
100.0%
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
99.9%
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
99.9%
(-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
99.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
99.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
99.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
99.2%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
99.5%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 #s(approx (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 x)))
98.3%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 392 to 160 computations (59.2% saved)

regimes25.0ms (0.3%)

Memory
-5.5MiB live, 28.9MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 #s(approx (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)))
(-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
Outputs
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
Calls

2 calls:

16.0ms
x
8.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 #s(approx (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)))
(-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
Outputs
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
Calls

2 calls:

6.0ms
x
5.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory
-28.0MiB live, 17.2MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 #s(approx (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)))
(-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)))
Outputs
(-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
Calls

2 calls:

10.0ms
x
5.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 #s(approx (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x))) (neg.f64 x)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 #s(approx (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 #s(approx (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 x)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 #s(approx (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 x)))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0%)

Memory
-32.7MiB live, 6.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
Calls

2 calls:

3.0ms
x
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
16×+-commutative_binary64
14×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067230
186230
295230
398230
499230
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 #s(approx (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Outputs
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(approx (log (+ 1 (* x (neg x)))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))) (log1p.f64 x)) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
(-.f64 #s(approx (/ (log (+ 1 (* x (neg x)))) (log (+ 1 x))) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -7/24 binary64) #s(literal -5/12 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(approx (/ (log (+ 1 x)) (log (+ 1 x))) #s(literal 1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 (fma.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (+.f64 #s(approx (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(approx (+ -1 (* (+ (* x -5/12) -1/2) (* x x))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal -1 binary64))) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))

soundness1.2s (12.2%)

Memory
13.7MiB live, 517.2MiB allocated
Rules
12 270×lower-fma.f64
12 270×lower-fma.f32
10 304×lower-fma.f64
10 304×lower-fma.f32
9 222×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040197
073181
1321181
22472167
08702164
03635756
111005229
235355065
081614864
050374
087356
1398348
23177348
08294326
02171122
16581000
22012927
08297900
04116045
112815526
243775343
082485128
0723
01223
14123
224523
3216723
01044015
03776836
111716446
241796237
086495918
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 298 to 159 computations (46.6% saved)

preprocess131.0ms (1.4%)

Memory
8.9MiB live, 162.8MiB allocated
Compiler

Compiled 260 to 102 computations (60.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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