qlog (example 3.10)

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze4.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Algorithm
1×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)

sample2.2s (27.8%)

Memory
41.5MiB live, 2 284.1MiB allocated
Samples
979.0ms2 980×2valid
892.0ms4 927×1valid
23.0ms349×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-log: 1.1s (63.9% of total)
adjust: 184.0ms (11.1% of total)
ival-div: 134.0ms (8.1% of total)
ival-sub: 116.0ms (7% of total)
ival-log1p: 72.0ms (4.4% of total)
ival-fabs: 57.0ms (3.4% of total)
ival-<=: 25.0ms (1.5% of total)
exact: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain186.0ms (2.4%)

Memory
-7.0MiB live, 273.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(log.f64 (+.f64 #s(literal 1 binary64) x))
2540-0-(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))sensitivity2541
log.f64(log.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2541
Confusion
Predicted +Predicted -
+2481
-61
Precision
0.9763779527559056
Recall
0.9959839357429718
Confusion?
Predicted +Predicted MaybePredicted -
+24801
-610
Precision?
0.9725490196078431
Recall?
0.9959839357429718
Freqs
test
numberfreq
02
2254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms200×2valid
52.0ms290×1valid
2.0ms22×0valid
Compiler

Compiled 64 to 25 computations (60.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-log: 65.0ms (63.8% of total)
adjust: 14.0ms (13.8% of total)
ival-div: 8.0ms (7.9% of total)
ival-sub: 7.0ms (6.9% of total)
ival-log1p: 5.0ms (4.9% of total)
ival-add: 3.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess18.0ms (0.2%)

Memory
-10.5MiB live, 28.1MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.3%
(/.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
6.5MiB live, 6.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)
(-.f64 x #s(literal -1 binary64))

localize69.0ms (0.9%)

Memory
24.2MiB live, 104.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0.01953125
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy58.46624520490073
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy58.46950742092155
(log.f64 (+.f64 #s(literal 1 binary64) x))
Samples
34.0ms100×2valid
26.0ms145×1valid
1.0ms11×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log: 29.0ms (58.7% of total)
adjust: 7.0ms (14.2% of total)
ival-div: 6.0ms (12.2% of total)
ival-sub: 4.0ms (8.1% of total)
ival-add: 2.0ms (4.1% of total)
ival-log1p: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-26.1MiB live, 13.0MiB 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 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 -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 (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 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 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 (* 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) (* -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 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 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 (+ (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 (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 (/ (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 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 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

3 calls:

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

simplify166.0ms (2.1%)

Memory
23.4MiB live, 218.0MiB allocated
Algorithm
1×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
08310900
Stop Event
1×iter limit
1×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 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))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(* -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 (* 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) (* -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 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(+ (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 (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 (/ (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 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
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
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) 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 -1/2 binary64) x) #s(literal 1 binary64)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (log.f64 x)))
(+ (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 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(-.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (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 (/.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) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 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 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (log.f64 x))) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) x)))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))) (fma.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) x) x)) #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) x)))) (/.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)))
(- (+ (* -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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (log.f64 x) (neg.f64 x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 x) x) (log.f64 x))) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) x))))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 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 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 (*.f64 x x) 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)))) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (-.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)))) (fma.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 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)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) x) (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)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) (neg.f64 (log.f64 (neg.f64 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)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) (neg.f64 (log.f64 (neg.f64 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 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) 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 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(* -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)))
(neg.f64 (-.f64 (+.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 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) x))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)) 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)))
(-.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (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 x (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))))) (neg.f64 x)) (/.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 (/ (- (* -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 (fma.f64 (+.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 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) #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))))) (/.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 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (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 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)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)

rewrite137.0ms (1.7%)

Memory
-24.0MiB live, 172.8MiB 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
1×iter limit
1×node limit
1×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
(*.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(pow.f64 (log1p.f64 x) #s(literal 1 binary64))
(log1p.f64 (neg.f64 (neg.f64 x)))
(log1p.f64 (neg.f64 x))
(log1p.f64 x)
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (log1p.f64 (fma.f64 x x x)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 (*.f64 x x) x)) (log1p.f64 (fma.f64 x x x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)))))
(/.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64))
(/.f64 (log1p.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(neg.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(neg.f64 (neg.f64 (log1p.f64 x)))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 x x x)) (log1p.f64 (*.f64 (*.f64 x x) x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log1p.f64 (*.f64 (neg.f64 x) x)))
(fma.f64 (log1p.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log1p.f64 x) #s(literal 0 binary64))
(-.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 x x)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (log1p.f64 (*.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))) (log1p.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x 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 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (*.f64 (fma.f64 x x x) (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 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))) (log.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))))))
(-.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(-.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x))))) (log.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(-.f64 (log.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x) #s(literal 1 binary64)))) (log.f64 (*.f64 (fma.f64 (*.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 (log.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (fma.f64 x x x)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
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(+.f64 (*.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) x))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))

eval95.0ms (1.2%)

Memory
29.6MiB live, 139.8MiB allocated
Compiler

Compiled 28 479 to 2 480 computations (91.3% saved)

prune173.0ms (2.2%)

Memory
7.1MiB live, 253.8MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New88910899
Fresh000
Picked011
Done000
Total88911900
Accuracy
100.0%
Counts
900 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.1%
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶6.3%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
5.0%
(/.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)))))
✓4.3%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
6.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
▶4.7%
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶100.0%
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
99.6%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
▶99.4%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
99.0%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
▶97.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 238 to 153 computations (35.7% saved)

simplify222.0ms (2.8%)

Memory
-24.2MiB live, 169.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
cost-diff64
(log.f64 (-.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
cost-diff0
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
cost-diff0
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
cost-diff192
(log.f64 (+.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
cost-diff0
(log1p.f64 (*.f64 (neg.f64 x) x))
cost-diff0
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
cost-diff0
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
cost-diff13504
(/.f64 (log1p.f64 x) (log1p.f64 x))
Rules
11 920×lower-fma.f32
11 910×lower-fma.f64
2 958×lower--.f32
2 954×lower--.f64
2 544×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033179
059171
186171
2125171
3254171
4515171
51177171
62186171
73627171
84436171
94724171
104892171
115171171
125567171
137494171
08010165
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
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 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
#s(literal -1/2 binary64)
x
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log1p.f64 x)
Outputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
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 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
#s(literal -1/2 binary64)
x
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log1p.f64 x))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(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)
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 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
(log1p.f64 x)

localize169.0ms (2.1%)

Memory
32.8MiB live, 233.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(log1p.f64 x)
accuracy0.01953125
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
accuracy58.46624520490073
(log.f64 (-.f64 #s(literal 1 binary64) x))
accuracy0.01953125
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
accuracy0.0234375
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
accuracy0.27308726734166
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
accuracy58.46950742092155
(log.f64 (+.f64 #s(literal 1 binary64) x))
accuracy0
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
accuracy0
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
accuracy0.3981233708967149
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
accuracy1.3790051767061224
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
accuracy0
(neg.f64 x)
accuracy0
(log1p.f64 (*.f64 (neg.f64 x) x))
accuracy0
(log1p.f64 x)
accuracy29.994775372530633
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
Samples
76.0ms100×2valid
68.0ms145×1valid
2.0ms11×0valid
Compiler

Compiled 189 to 30 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-log: 36.0ms (31% of total)
adjust: 21.0ms (18.1% of total)
ival-mult: 17.0ms (14.6% of total)
ival-div: 13.0ms (11.2% of total)
ival-add: 10.0ms (8.6% of total)
const: 7.0ms (6% of total)
ival-log1p: 6.0ms (5.2% of total)
ival-sub: 5.0ms (4.3% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
-23.8MiB live, 14.0MiB 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 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) (patch (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (patch (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt (log1p.f64 (*.f64 (neg.f64 x) x)) (patch (log1p.f64 (*.f64 (neg.f64 x) 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (patch (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (+.f64 #s(literal 1 binary64) x)) (patch (log.f64 (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #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)) (log1p.f64 x)) (patch (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #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>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@0
((/ (log (+ 1 x)) (log (+ 1 x))) (- (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x)))) (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 (* (neg x) x))) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (neg x) (+ (* -1/4 x) -1/3))
4.0ms
x
@inf
((/ (log (+ 1 x)) (log (+ 1 x))) (- (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x)))) (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 (* (neg x) x))) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (neg x) (+ (* -1/4 x) -1/3))
4.0ms
x
@-inf
((/ (log (+ 1 x)) (log (+ 1 x))) (- (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (/ (log (+ 1 x)) (log (+ 1 x)))) (/ (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 (* (neg x) x))) (/ (log (- 1 x)) (log (+ 1 x))) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* -1/2 x) -1) x) -1) (+ (* -1/2 x) -1) (log (+ 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (- 1 x) (log (+ 1 x)) (neg x) (+ (* -1/4 x) -1/3))

simplify173.0ms (2.2%)

Memory
-3.1MiB live, 114.4MiB allocated
Algorithm
1×egg-herbie
Rules
10 596×lower-fma.f64
10 596×lower-fma.f32
4 646×lower-*.f64
4 646×lower-*.f32
4 584×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03795735
111545224
237165059
084294860
Stop Event
1×iter limit
1×node limit
Counts
216 → 214
Calls
Call 1
Inputs
1
1
1
1
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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(* x (- (* x (- (* -5/12 x) 1/2)) 1))
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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))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* -1/2 x) 1)) 1)
-1
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(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
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))))
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-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
x
(* x (+ 1 (* -1/2 x)))
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(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
1
1
1
1
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(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 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) 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 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* -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 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) 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 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(* -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)))
(neg.f64 (-.f64 (+.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 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) x))) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)) 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)))
(-.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (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 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)) x)))) (neg.f64 x)) (/.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 (/ (- (* -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 (fma.f64 (+.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 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) #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))))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) (-.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 (-.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)))) #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))) #s(literal 1/3 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 3 binary64))) #s(literal 1/2 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)
(* -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)
(+ (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 (log.f64 #s(literal -1 binary64)) (/.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 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) (neg.f64 (log.f64 (neg.f64 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)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) 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)
(* -1/4 x)
(*.f64 #s(literal -1/4 binary64) x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))

rewrite230.0ms (2.9%)

Memory
-49.1MiB live, 154.5MiB allocated
Rules
4 246×lower-/.f32
4 240×lower-/.f64
4 182×lower-fma.f32
4 172×lower-fma.f64
3 588×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033140
059135
1214129
21396129
08519122
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 528
Calls
Call 1
Inputs
(/.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(-.f64 #s(literal 1 binary64) x)
(log1p.f64 x)
(neg.f64 x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
Outputs
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal -1 binary64)) (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal -1 binary64))) (/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64))))))
(*.f64 (neg.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal -1 binary64))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -2 binary64)))))
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(*.f64 (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (pow.f64 (log1p.f64 x) #s(literal -2 binary64)))
(*.f64 (log1p.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) #s(literal -1 binary64))
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(/.f64 (*.f64 (neg.f64 x) x) x)
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 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 #s(literal -1/4 binary64) x))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))

eval152.0ms (1.9%)

Memory
22.6MiB live, 211.5MiB allocated
Compiler

Compiled 23 101 to 2 126 computations (90.8% saved)

prune301.0ms (3.8%)

Memory
-14.8MiB live, 189.3MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New8542856
Fresh325
Picked325
Done011
Total8607867
Accuracy
100.0%
Counts
867 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.3%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶99.7%
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
▶99.6%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
✓99.4%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
▶99.0%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
✓97.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 74 to 45 computations (39.2% saved)

simplify279.0ms (3.5%)

Memory
-0.4MiB live, 170.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 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 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
cost-diff0
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
cost-diff0
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff0
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #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))
Rules
15 956×lower-fma.f32
15 938×lower-fma.f64
2 542×lower-*.f32
2 538×lower-*.f64
2 272×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034211
061207
188207
2153207
3411207
41103207
52639207
64221207
75400207
86569207
97194207
107607207
117659207
127723207
137727207
147816207
157818207
167818207
08108207
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#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 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
x
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)
Outputs
#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 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
x
#s(literal -1/2 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)

localize189.0ms (2.4%)

Memory
12.0MiB live, 169.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0
(log1p.f64 (neg.f64 x))
accuracy0
(log1p.f64 x)
accuracy0.01953125
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
accuracy0.0234375
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
accuracy0.0234375
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy0.27308726734166
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
accuracy0.2731375865556892
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy0
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
accuracy0
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
accuracy0
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
accuracy0.27642374991926055
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
accuracy0
(-.f64 #s(literal -1 binary64) x)
accuracy0.6242945355033422
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
Samples
82.0ms145×1valid
79.0ms100×2valid
3.0ms11×0valid
Compiler

Compiled 186 to 37 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-log: 31.0ms (22.8% of total)
adjust: 28.0ms (20.6% of total)
ival-mult: 24.0ms (17.7% of total)
const: 21.0ms (15.5% of total)
ival-add: 16.0ms (11.8% of total)
ival-div: 6.0ms (4.4% of total)
ival-sub: 5.0ms (3.7% of total)
ival-log1p: 3.0ms (2.2% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#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 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #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)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt -1 (taylor 0 x) (#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 (- (* -1 x) 1) (taylor 0 x) (#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 (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#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 (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#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 -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) 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) 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) 1) (taylor 0 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 #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<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))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 x) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -5/12 x) 1/2)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -5/12 x) 1/2)) 1) (taylor 0 x) (#s(alt (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -5/12 x) 1/2) (taylor 0 x) (#s(alt (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -5/12 x) 1/2) (taylor 0 x) (#s(alt (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -5/12 x) 1/2) (taylor 0 x) (#s(alt (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) (patch (/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -1/2 x) 1)) (taylor 0 x) (#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -1/3 x) 1/2)) 1)) (taylor 0 x) (#s(alt #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #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 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (+ (* -1/4 x) -1/3))
1.0ms
x
@inf
((/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (+ (* -1/4 x) -1/3))
1.0ms
x
@0
((/ (log (- 1 x)) (log (+ 1 x))) (- -1 x) (/ (log (- 1 x)) (log (+ 1 x))) (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (+ (* (+ (* -5/12 x) -1/2) x) -1) (+ (* -5/12 x) -1/2) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (/ (log (+ 1 (neg x))) (log (+ 1 x))) (log (+ 1 (neg x))) (neg x) (log (+ 1 x)) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (+ (* -1/4 x) -1/3))

simplify250.0ms (3.2%)

Memory
-6.9MiB live, 150.7MiB allocated
Algorithm
1×egg-herbie
Rules
15 944×lower-fma.f64
15 944×lower-fma.f32
5 534×lower-+.f64
5 534×lower-+.f32
4 410×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03034446
19504021
232113728
083523592
Stop Event
1×iter limit
1×node limit
Counts
204 → 201
Calls
Call 1
Inputs
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(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(* -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 (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 x)
(* -1 x)
(* -1 x)
(* -1 x)
(+ (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))))
(+ (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))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(- (* x (- (* -5/12 x) 1/2)) 1)
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* -5/12 x) 1/2)
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
(- (* -5/12 x) 1/2)
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
(- (* -5/12 x) 1/2)
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(- (* x (- (* -1/3 x) 1/2)) 1)
(fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -1/2 x) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) 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)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 x) 1/3)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(- (* -1/4 x) 1/3)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 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 (/.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) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 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 (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 x) x) x))) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))) (fma.f64 (/.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)))) #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) x)))) (/.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)))
(- (+ (* -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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 (log.f64 x)))) (+.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 x) x) x))) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) x))))) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 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 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 (*.f64 x x) 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)))) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)) (-.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)))) (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 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 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 (/ (+ (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 (/.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) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 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))))))
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(* -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 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) 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 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* -1/4 (pow x 3))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) x)
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (*.f64 x x))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x #s(literal 1/3 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 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 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) x)) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)) 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)))
(-.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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))))) (/.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)))) x)) (neg.f64 x)) (/.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 (/ (- (* -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 (fma.f64 (+.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 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) #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))))) (/.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 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))) (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 (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 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) 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 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #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)
(+ (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 (/.f64 #s(literal 1 binary64) x) (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)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) (neg.f64 (log.f64 (neg.f64 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)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) (neg.f64 (log.f64 (neg.f64 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 (/.f64 #s(literal 1 binary64) x) (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)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)) (neg.f64 (log.f64 (neg.f64 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)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) (neg.f64 (log.f64 (neg.f64 x))))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(* -1/4 x)
(*.f64 #s(literal -1/4 binary64) x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))

rewrite181.0ms (2.3%)

Memory
14.2MiB live, 204.6MiB allocated
Rules
4 200×lower-fma.f32
4 194×lower-/.f32
4 190×lower-/.f64
4 182×lower-fma.f64
3 198×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034169
061166
1241166
21728159
08984159
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 461
Calls
Call 1
Inputs
#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 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #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)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x 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 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 x))
(-.f64 #s(literal -1 binary64) x)
(-.f64 x #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 x))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))
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(fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal -1/4 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/4 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 x (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/4 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) x) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 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 #s(literal -1/4 binary64) x))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))

eval210.0ms (2.7%)

Memory
-17.1MiB live, 186.3MiB allocated
Compiler

Compiled 20 736 to 1 857 computations (91% saved)

prune105.0ms (1.3%)

Memory
29.1MiB live, 190.7MiB allocated
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New6584662
Fresh000
Picked044
Done123
Total65910669
Accuracy
100.0%
Counts
669 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶99.7%
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
✓99.7%
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
▶30.9%
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
▶99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
✓99.6%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
✓99.4%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
✓99.0%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
▶30.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))))
✓97.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 182 to 101 computations (44.5% saved)

simplify127.0ms (1.6%)

Memory
-1.7MiB live, 113.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
cost-diff0
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
cost-diff0
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
cost-diff0
#s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x))
cost-diff0
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
cost-diff704
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))
cost-diff1472
(*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
cost-diff0
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
cost-diff0
(/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
cost-diff0
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))))
cost-diff64
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
cost-diff832
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))
cost-diff1280
(*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))
Rules
12 288×lower-fma.f32
12 268×lower-fma.f64
3 638×lower-+.f64
3 638×lower-+.f32
2 746×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059724
091715
1165715
2372690
31154650
43379650
08200613
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))))
#s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))
(*.f64 x x)
x
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
#s(literal 1 binary64)
(/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)
#s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(*.f64 x x)
x
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))))
#s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))))
#s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))
(*.f64 x x)
x
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
#s(literal -5/12 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(literal 1 binary64)
(/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal 1/3 binary64)
#s(literal -1/2 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal -1 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x))
#s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)
(*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))) x)
#s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))))
#s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(*.f64 x x)
x
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x))
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
#s(literal -1/3 binary64)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(literal -1/4 binary64)
x
#s(literal -1/3 binary64)
#s(literal -1/2 binary64)
#s(literal -1 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

localize298.0ms (3.8%)

Memory
4.9MiB live, 324.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
accuracy0.0234375
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
accuracy0.27308726734166
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
accuracy0.2731375865556892
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x))
accuracy0.27308726734166
#s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x))
accuracy0.2731375865556892
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy10.677967316764713
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))
accuracy32.641409186498294
(*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
accuracy0.0234375
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
accuracy0.0234375
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
accuracy0.2731375865556892
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
accuracy61.509745759703556
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
accuracy0.125
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
accuracy0.27642374991926055
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))))
accuracy10.674061066764713
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))
accuracy32.649221686498294
(*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))
Samples
126.0ms145×1valid
123.0ms100×2valid
7.0ms11×0valid
Compiler

Compiled 472 to 49 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-mult: 49.0ms (26.5% of total)
ival-log: 35.0ms (19% of total)
adjust: 34.0ms (18.4% of total)
ival-add: 22.0ms (11.9% of total)
ival-div: 18.0ms (9.8% of total)
const: 15.0ms (8.1% of total)
ival-sub: 8.0ms (4.3% of total)
ival-log1p: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.5%)

Memory
-20.8MiB live, 16.7MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))) #<representation binary64>) () ())
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#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) #<representation binary64>) () ())
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#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())
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#s(alt #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)) #<representation binary64>) () ())
Outputs
#s(alt -1 (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))) (patch (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 1) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 x) 1) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 1) (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1/2 x) 1)) 1) (taylor 0 x) (#s(alt #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))))) #<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))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))))) (patch #s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1/4 (pow x 3)) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #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 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #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 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (patch #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1/4 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (patch (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) 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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) 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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) 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 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)) (patch #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
21.0ms
x
@inf
((* (* x x) (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2))) (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2)) (/ (- -1 (/ 1 x)) (* x x)) (/ (log (- 1 x)) (log (+ 1 x))) (/ 1 (/ (log (+ 1 x)) (log (+ 1 x)))) (/ (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (* (* x x) (+ (* (/ (- -1/2 (/ 1 x)) (* x x)) x) (+ (* -1/4 x) -1/3))) (+ (* (/ (- -1/2 (/ 1 x)) (* x x)) x) (+ (* -1/4 x) -1/3)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (log (+ 1 x)) (+ (* -1/4 x) -1/3) (log (+ 1 x)))
3.0ms
x
@-inf
((* (* x x) (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2))) (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2)) (/ (- -1 (/ 1 x)) (* x x)) (/ (log (- 1 x)) (log (+ 1 x))) (/ 1 (/ (log (+ 1 x)) (log (+ 1 x)))) (/ (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (* (* x x) (+ (* (/ (- -1/2 (/ 1 x)) (* x x)) x) (+ (* -1/4 x) -1/3))) (+ (* (/ (- -1/2 (/ 1 x)) (* x x)) x) (+ (* -1/4 x) -1/3)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (log (+ 1 x)) (+ (* -1/4 x) -1/3) (log (+ 1 x)))
1.0ms
x
@0
((* (* x x) (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2))) (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2)) (/ (- -1 (/ 1 x)) (* x x)) (/ (log (- 1 x)) (log (+ 1 x))) (/ 1 (/ (log (+ 1 x)) (log (+ 1 x)))) (/ (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) 1/3) x) -1/2) x) 1) x) (* (* x x) (+ (* (/ (- -1/2 (/ 1 x)) (* x x)) x) (+ (* -1/4 x) -1/3))) (+ (* (/ (- -1/2 (/ 1 x)) (* x x)) x) (+ (* -1/4 x) -1/3)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (/ (log (- 1 x)) (log (+ 1 x))) (log (- 1 x)) (* (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) x) (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (log (+ 1 x)) (+ (* -1/4 x) -1/3) (log (+ 1 x)))

simplify187.0ms (2.4%)

Memory
3.6MiB live, 152.1MiB allocated
Algorithm
1×egg-herbie
Rules
11 276×lower-fma.f64
11 276×lower-fma.f32
4 672×lower-*.f64
4 672×lower-*.f32
4 654×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03184069
19943701
234413439
083843295
Stop Event
1×iter limit
1×node limit
Counts
228 → 224
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(/ -1 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 2))
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (pow x 2))
(/ -1 (pow x 3))
(/ (- (* -1 x) 1) (pow x 3))
(/ (- (* -1 x) 1) (pow x 3))
(/ (- (* -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
1
1
1
1
1
1
1
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))))
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
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(/ -1 (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ (- (* x (- (* -1/3 x) 1/2)) 1) (pow x 2))
(/ (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1) (pow x 2))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 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))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -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))
(* -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))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
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))))
-1/3
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
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))))
(* -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 x)
(* -1 (* x (+ 5/12 (* 1/2 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* x (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))
(* -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
1
1
1
1
1
1
1
(* -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)))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* x (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* x (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -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)))))))))
(+ (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) (* -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))))
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Outputs
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(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
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(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))
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(* -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 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) 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 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))
(* -1/4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/3 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (*.f64 x x)) #s(literal 1/3 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -1/4 (pow x 3))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) x)
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) (*.f64 x x))
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(*.f64 (fma.f64 #s(literal -1/4 binary64) x (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/3 binary64))) (*.f64 x x))
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(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) (neg.f64 (log.f64 (neg.f64 x))))
(* -1/4 x)
(*.f64 #s(literal -1/4 binary64) x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(+ (log -1) (* -1 (log (/ -1 x))))
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(+ (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)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x)) (neg.f64 (log.f64 (neg.f64 x))))

rewrite223.0ms (2.8%)

Memory
18.5MiB live, 257.0MiB allocated
Rules
5 336×lower-*.f32
5 322×lower-*.f64
4 498×lower-/.f32
4 484×lower-/.f64
3 954×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059424
091424
1388422
22996401
09381374
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 704
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
#s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x))
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x) x)
(*.f64 (fma.f64 #s(literal -5/12 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -5/12 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 x (*.f64 (fma.f64 #s(literal -5/12 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 x x) (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) #s(literal -1/4 binary64))) (*.f64 x x) (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -125/1728 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64))) (*.f64 x x) (*.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64)))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -125/1728 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64))) (*.f64 x x) (*.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (*.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64)))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -125/1728 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64)))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -125/1728 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64)) (*.f64 x x)) (*.f64 x x) (*.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (*.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64)))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x)) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) #s(literal -1/4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x)) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 #s(literal -125/1728 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x)) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x)) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -125/1728 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64)) (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) #s(literal -1/4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 #s(literal -125/1728 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -5/12 binary64) x #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64)))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -125/1728 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/8 binary64)) (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 25/144 binary64) (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 5/24 binary64))))))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))) (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (*.f64 x x)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -5/12 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))) (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (-.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) x) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x))) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) x) (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x)) (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x))) (fma.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) x) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) x) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x) (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x)) (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) x) (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x)))))
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) x (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) x (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x))
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x))
(fma.f64 (*.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x) x (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) x))
(fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64))
(fma.f64 x (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x))
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(*.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (-.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64))))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(+.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
#s(approx (log (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x))

eval210.0ms (2.7%)

Memory
5.4MiB live, 316.4MiB allocated
Compiler

Compiled 49 577 to 3 744 computations (92.4% saved)

prune148.0ms (1.9%)

Memory
20.8MiB live, 217.7MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New1 10931 112
Fresh000
Picked224
Done066
Total1 111111 122
Accuracy
100.0%
Counts
1 122 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.7%
(/.f64 #s(approx (log (- 1 x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (neg.f64 x))) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
✓99.7%
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
✓99.7%
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
30.9%
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)))))))
✓99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
✓99.6%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
✓99.4%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
✓99.0%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (-.f64 #s(literal -1 binary64) x))
30.9%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) #s(approx (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2)) (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) x)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))))))
✓97.8%
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(literal -1 binary64))
Compiler

Compiled 620 to 199 computations (67.9% saved)

regimes44.0ms (0.6%)

Memory
-26.3MiB live, 12.2MiB allocated
Counts
20 → 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) #s(approx (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2)) (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) x)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
(/.f64 #s(approx (log (- 1 x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (neg.f64 x))) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)))))))
(/.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 (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 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
Outputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
Calls

2 calls:

37.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
6.0ms
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)

regimes11.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) #s(approx (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2)) (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) x)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
(/.f64 #s(approx (log (- 1 x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (neg.f64 x))) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)))))))
(/.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 (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)))))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

5.0ms
x
5.0ms
(/.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)

regimes9.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
14 → 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) #s(approx (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2)) (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) x)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
(/.f64 #s(approx (log (- 1 x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (neg.f64 x))) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x))))
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 #s(approx (+ (* (+ (* (+ (* -1/4 x) -1/3) x) -1/2) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) x)) #s(approx (log (+ 1 x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) (*.f64 x x) (neg.f64 x)))))))
Outputs
(/.f64 #s(approx (log (- 1 x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (neg.f64 x))) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
Calls

2 calls:

4.0ms
x
4.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.7%1x
99.7%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)

regimes6.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
8 → 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) #s(approx (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2)) (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) x)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
Outputs
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.7%1x
99.7%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)

regimes10.0ms (0.1%)

Memory
-29.5MiB live, 8.9MiB 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) #s(approx (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2)) (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) x)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
Outputs
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
Calls

2 calls:

8.0ms
x
2.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.7%1x
99.7%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 (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
6 → 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) #s(approx (+ (* (/ (- -1 (/ 1 x)) (* x x)) x) (+ (* -5/12 x) -1/2)) (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) x)) #s(literal 5/12 binary64)) x #s(literal -1/2 binary64))))))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) #s(approx (+ (* (+ (* (+ (* -5/12 x) -1/2) x) -1) x) -1) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))))))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #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
99.6%1x
99.6%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
6.3MiB live, 6.3MiB 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 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
Outputs
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.4%1x
99.4%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
5.7MiB live, 5.7MiB 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
99.0%1x
99.0%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)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB 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
97.8%1x
97.8%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)

simplify12.0ms (0.2%)

Memory
-28.0MiB live, 10.6MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
14×+-commutative_binary64
12×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052187
170187
281187
388187
492187
593187
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (neg.f64 x))) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) 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))) #s(literal -1 binary64))
Outputs
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 #s(approx (log (- 1 x)) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x) (neg.f64 x))) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
(/.f64 #s(approx (log (- 1 x)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x) x) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x) x x)))
(/.f64 #s(approx (log (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x)) #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ (log (- 1 x)) (log (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) 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))) #s(literal -1 binary64))

soundness926.0ms (11.8%)

Memory
12.0MiB live, 490.8MiB allocated
Rules
12 270×lower-fma.f64
12 270×lower-fma.f32
10 596×lower-fma.f64
10 596×lower-fma.f32
5 336×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059424
091424
1388422
22996401
09381374
033140
059135
1214129
21396129
08519122
03795735
111545224
237165059
084294860
034169
061166
1241166
21728159
08984159
02171122
16581000
22012927
08310900
0723
01223
14123
224523
3216723
01044015
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 394 to 202 computations (48.7% saved)

preprocess66.0ms (0.8%)

Memory
9.2MiB live, 122.7MiB allocated
Compiler

Compiled 290 to 102 computations (64.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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