Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, B

Time bar (total: 15.5s)

analyze220.0ms (1.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
3.2%3.1%93.7%0.1%0%3.1%0%6
17.5%15.6%73.4%0.1%0%10.9%0%7
23%20.3%67.9%0.1%0%11.7%0%8
34.1%28.9%55.8%0.1%0%15.2%0%9
37.4%31.6%52.9%0.1%0%15.4%0%10
43.6%36.1%46.7%0.1%0%17.1%0%11
45.4%37.6%45.2%0.1%0%17.1%0%12
Compiler

Compiled 15 to 12 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-sub: 46.0ms (53.1% of total)
ival-log: 19.0ms (21.9% of total)
ival-div: 17.0ms (19.6% of total)
const: 4.0ms (4.6% of total)
backward-pass: 1.0ms (1.2% of total)

sample1.9s (12.1%)

Results
499.0ms6013×0valid
422.0ms1922×1valid
116.0ms1641×0invalid
132.0ms782×1invalid
89.0ms321×2valid
69.0ms201×2invalid
Precisions
Click to see histograms. Total time spent on operations: 898.0ms
ival-sub: 377.0ms (42% of total)
ival-log: 244.0ms (27.2% of total)
ival-div: 132.0ms (14.7% of total)
backward-pass: 115.0ms (12.8% of total)
const: 30.0ms (3.3% of total)
Bogosity

preprocess113.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
540×accelerator-lowering-fma.f32
540×accelerator-lowering-fma.f64
402×sub-neg
364×times-frac
316×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03080
17674
219872
347972
4105072
5209272
6263872
7283772
8287572
9288172
10288172
0912
12112
24012
39112
421612
544612
678912
797412
8101712
9104612
0104610
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
Outputs
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
Call 2
Inputs
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
(- 1 (log (- 1 (/ (- (neg x) y) (- 1 y)))))
(- 1 (log (- 1 (/ (- x (neg y)) (- 1 (neg y))))))
(neg (- 1 (log (- 1 (/ (- (neg x) y) (- 1 y))))))
(neg (- 1 (log (- 1 (/ (- x (neg y)) (- 1 (neg y)))))))
(- 1 (log (- 1 (/ (- y x) (- 1 x)))))
Outputs
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
(- 1 (log (+ 1 (/ (- x y) (+ y -1)))))
(- 1 (log (- 1 (/ (- (neg x) y) (- 1 y)))))
(- 1 (log (+ 1 (/ (+ x y) (- 1 y)))))
(- 1 (log (- 1 (/ (- x (neg y)) (- 1 (neg y))))))
(- 1 (log (+ 1 (/ (+ x y) (- -1 y)))))
(neg (- 1 (log (- 1 (/ (- (neg x) y) (- 1 y))))))
(+ (log (+ 1 (/ (+ x y) (- 1 y)))) -1)
(neg (- 1 (log (- 1 (/ (- x (neg y)) (- 1 (neg y)))))))
(+ (log (+ 1 (/ (+ x y) (- -1 y)))) -1)
(- 1 (log (- 1 (/ (- y x) (- 1 x)))))
(- 1 (log (+ 1 (/ (- x y) (- 1 x)))))

explain276.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1040-0-(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
800-0-(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
00-0-x
00-0-(-.f64 x y)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) y)
Results
148.0ms314×1valid
39.0ms168×0valid
22.0ms30×2valid
Compiler

Compiled 114 to 69 computations (39.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-log: 47.0ms (29.4% of total)
ival-sub: 45.0ms (28.1% of total)
ival-div: 39.0ms (24.4% of total)
backward-pass: 24.0ms (15% of total)
const: 5.0ms (3.1% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.4%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
▶72.3%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
Compiler

Compiled 26 to 20 computations (23.1% saved)

localize427.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 y x)
✓cost-diff0
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))
✓cost-diff0
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
✓cost-diff128
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
✓accuracy100.0%
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))
✓accuracy99.1%
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓accuracy98.9%
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
✓accuracy63.4%
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Rules
540×accelerator-lowering-fma.f32
540×accelerator-lowering-fma.f64
232×*-lowering-*.f32
232×*-lowering-*.f64
176×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01479
13279
26379
312679
424679
548279
682179
789379
893579
996479
096471
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
1
(log (- 1 (/ (- x y) (- 1 y))))
(- 1 (/ (- x y) (- 1 y)))
(/ (- x y) (- 1 y))
(- x y)
x
y
(- 1 y)
(- 1 (log (+ 1 (/ (- y x) (- 1 y)))))
(log (+ 1 (/ (- y x) (- 1 y))))
(/ (- y x) (- 1 y))
(- y x)
Outputs
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(log (- 1 (/ (- x y) (- 1 y))))
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(- 1 (/ (- x y) (- 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
(/ (- x y) (- 1 y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(- x y)
(-.f64 x y)
x
y
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 (log (+ 1 (/ (- y x) (- 1 y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))))
(log (+ 1 (/ (- y x) (- 1 y))))
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(/ (- y x) (- 1 y))
(/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64)))
(- y x)
(-.f64 y x)
Results
94.0ms95×1valid
28.0ms84×0valid
189.0ms74×5exit
4.0ms3×2valid
Compiler

Compiled 84 to 46 computations (45.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 281.0ms
ival-sub: 127.0ms (45.3% of total)
backward-pass: 53.0ms (18.9% of total)
ival-log: 39.0ms (13.9% of total)
<compiled-spec>: 28.0ms (10% of total)
ival-div: 26.0ms (9.3% of total)
ival-add: 5.0ms (1.8% of total)
const: 4.0ms (1.4% of total)

series33.0ms (0.2%)

Counts
9 → 204
Calls
Call 1
Inputs
#<alt (log (- 1 (/ (- x y) (- 1 y))))>
#<alt (- 1 (/ (- x y) (- 1 y)))>
#<alt (/ (- x y) (- 1 y))>
#<alt (- 1 (log (- 1 (/ (- x y) (- 1 y)))))>
#<alt (log (+ 1 (/ (- y x) (- 1 y))))>
#<alt (/ (- y x) (- 1 y))>
#<alt (- 1 (log (+ 1 (/ (- y x) (- 1 y)))))>
#<alt (- 1 y)>
#<alt (- y x)>
Outputs
#<alt (log (+ 1 (/ y (- 1 y))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))))))>
#<alt (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2))) (* -1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))))>
#<alt (log (- 1 x))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))>
#<alt (+ (log (- 1 x)) (log (/ -1 y)))>
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (/ x (- 1 x)) (/ 1 (- 1 x))) y))))>
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))>
#<alt (+ (log (- 1 x)) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ x (- 1 x))) (/ 1 (- 1 x))) y))))>
#<alt (+ 1 (/ y (- 1 y)))>
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))>
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))>
#<alt (+ 1 (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y))))>
#<alt (* -1 (/ x (- 1 y)))>
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (- (+ (/ 1 x) (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* -1 (/ x (- 1 y)))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ y (- 1 y)))) x)) (/ 1 (- 1 y)))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* y (+ 1 (* -1 x)))) x)>
#<alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x))))))) x)>
#<alt (- (+ 1 (* y (+ 1 (+ (* -1 x) (* y (+ 1 (+ (* -1 x) (* y (+ 1 (* -1 x)))))))))) x)>
#<alt (* -1 (/ (+ 1 (* -1 x)) y))>
#<alt (/ (- (/ x y) (+ 1 (+ (* -1 x) (/ 1 y)))) y)>
#<alt (/ (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (/ 1 (pow y 2)))))) y)>
#<alt (/ (- (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ 1 (+ (* -1 x) (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))))) y)>
#<alt (* -1 (/ (- 1 x) y))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (* -1 x)) y))) 1) y))) x) y))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ 1 (+ (* -1 x) (* -1 (/ (- x 1) y)))) y))) 1) y))) x) y))>
#<alt (* -1 (/ y (- 1 y)))>
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))>
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))>
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))>
#<alt (/ x (- 1 y))>
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (/ x (- 1 y))>
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))>
#<alt x>
#<alt (+ x (* -1 (* y (+ 1 (* -1 x)))))>
#<alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))>
#<alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 1) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))>
#<alt (- 1 (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))))>
#<alt (- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))>
#<alt (- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (/ (* (- 1 y) (- 1 (* -1 (/ y (- 1 y))))) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (- 1 y) 3) (pow (- 1 (* -1 (/ y (- 1 y)))) 3)) x)) (* -1/2 (* (pow (- 1 y) 2) (pow (- 1 (* -1 (/ y (- 1 y)))) 2)))) x)) (* (- 1 y) (- 1 (* -1 (/ y (- 1 y)))))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- 1 (log (- 1 x)))>
#<alt (- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))))>
#<alt (- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x)))))))>
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))))>
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))>
#<alt (- 1 (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (/ 1 (- 1 x)) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (* (+ 1 (* -1 x)) (- x 1)) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (- x 1) 3) (pow (- 1 x) 3))) (* 6 (/ (- x 1) (- 1 x))))) y)) (* 1/2 (+ (* -1 (/ (pow (- x 1) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) y)) (/ 1 (- 1 x))) (/ x (- 1 x))) y))) (+ (log (- 1 x)) (log (/ -1 y))))>
#<alt (log (- 1 x))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))>
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (/ 1 (- x 1)) (/ x (- x 1))) y))))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))>
#<alt (log (+ 1 (/ y (- 1 y))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))))))>
#<alt (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* y (- 1 x)))>
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- 1 x))) x)))>
#<alt (+ (* -1 x) (* y (- (+ 1 (* y (- (* y (- 1 x)) (* -1 (- 1 x))))) x)))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (/ 1 y)))>
#<alt (- (+ (/ x y) (/ x (pow y 2))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (- (+ (/ x y) (/ x (pow y 3))) (+ 1 (+ (* -1 (/ (- x 1) (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))>
#<alt -1>
#<alt (- (/ x y) (+ 1 (/ 1 y)))>
#<alt (- (* -1 (/ (- (+ (* -1 (- x 1)) (/ 1 y)) (/ x y)) y)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ x y)) (/ 1 y)) y))) y)) 1)>
#<alt (/ y (- 1 y))>
#<alt (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))>
#<alt (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))>
#<alt (+ (* -1 (/ x (- 1 y))) (/ y (- 1 y)))>
#<alt (* -1 (/ x (- 1 y)))>
#<alt (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))>
#<alt (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))>
#<alt (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))>
#<alt (* -1 (/ x (- 1 y)))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))))>
#<alt (- 1 (log (- 1 x)))>
#<alt (- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))>
#<alt (- 1 (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))))>
#<alt (- (+ 1 (/ x (* y (+ 1 (* -1 x))))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (/ 1 (* y (+ 1 (* -1 x)))))))>
#<alt (- (+ 1 (* -1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))))))>
#<alt (- (+ 1 (* -1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3)))) (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))>
#<alt (- 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (/ x (- x 1)) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* 1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ x (- x 1))) (/ 1 (- x 1))) y))) (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
#<alt (- 1 (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (* x (+ (* 1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))>
#<alt (- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))))>
#<alt (- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))>
#<alt (- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt (- y x)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt (* y (+ 1 (* -1 (/ x y))))>
#<alt y>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt (* -1 (* y (- (/ x y) 1)))>
#<alt y>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (+ y (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* x (- (/ y x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ y x)))))>
Calls

51 calls:

TimeVariablePointExpression
4.0ms
y
@0
(log (- 1 (/ (- x y) (- 1 y))))
2.0ms
y
@inf
(- y x)
1.0ms
y
@0
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
1.0ms
y
@-inf
(log (- 1 (/ (- x y) (- 1 y))))
1.0ms
y
@inf
(log (- 1 (/ (- x y) (- 1 y))))

rewrite508.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
4928×*-lowering-*.f32
4928×*-lowering-*.f64
4914×/-lowering-/.f32
4914×/-lowering-/.f64
2682×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01473
111573
2113073
0810567
Stop Event
1×iter limit
1×node limit
Counts
9 → 345
Calls
Call 1
Inputs
(log (- 1 (/ (- x y) (- 1 y))))
(- 1 (/ (- x y) (- 1 y)))
(/ (- x y) (- 1 y))
(- 1 (log (- 1 (/ (- x y) (- 1 y)))))
(log (+ 1 (/ (- y x) (- 1 y))))
(/ (- y x) (- 1 y))
(- 1 (log (+ 1 (/ (- y x) (- 1 y)))))
(- 1 y)
(- y x)
Outputs
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
(+.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))))
(+.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)))))))
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log1p.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log1p.f64 (-.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))))
(-.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))))) (log1p.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (log1p.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))))) (log.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)))))))
(log1p.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(+.f64 y (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) y)
(-.f64 y x)
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (-.f64 y (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal 1 binary64) y (-.f64 #s(literal 0 binary64) x))
(fma.f64 y #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) x y)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y))))
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(*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 x (+.f64 x y)))))
(*.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))

simplify437.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
4958×accelerator-lowering-fma.f32
4958×accelerator-lowering-fma.f64
3652×+-lowering-+.f64
3652×+-lowering-+.f32
2310×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05895034
119203489
267253397
081963223
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
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(* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))
(* -1 (/ x (- 1 y)))
(* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))))
(- 1 (log (- 1 x)))
(- (+ 1 (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))
(- (+ 1 (* y (- (* -1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))
(- (+ 1 (* y (- (* y (- (* -1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))) (log (- 1 x)))
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(- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
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(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
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(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
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(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
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(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
Outputs
(log (+ 1 (/ y (- 1 y))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))
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(+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))
(+.f64 (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))))))
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(-.f64 (log.f64 x) (log.f64 (+.f64 y #s(literal -1 binary64))))
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(log (- 1 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))
(+.f64 y (log.f64 (-.f64 #s(literal 1 binary64) x)))
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(- (+ 1 (* x (+ (* x (+ (* 1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))) (log (+ 1 (/ y (- 1 y)))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))))))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(- 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x)))
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) x) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x))))
(- (+ 1 (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)))))
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) x) #s(literal 1/2 binary64))) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) x) (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x)))))
(- (+ 1 (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))) (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) x) #s(literal 1/3 binary64))) (*.f64 x x)) (-.f64 (-.f64 (log.f64 (+.f64 y #s(literal -1 binary64))) (log.f64 x)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) x))))
(- 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ 1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) x) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ 1 (* -1 (/ (- (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) x))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))) x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (-.f64 #s(literal 1 binary64) y))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x)) (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))) (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) x) #s(literal 1/3 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64))) x) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) x) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (* -1 (/ x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (* -1 (/ x y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(* -1 (* y (- (/ x y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (/ x y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (/ x y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ y x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(* x (- (/ y x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(* x (- (/ y x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x))))

eval147.0ms (0.9%)

Compiler

Compiled 15092 to 9649 computations (36.1% saved)

prune94.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New57711588
Fresh000
Picked202
Done000
Total57911590
Accuracy
100.0%
Counts
590 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶71.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))))
31.4%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) y)) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
42.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
▶61.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
▶2.4%
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
41.6%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)))
41.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)) x) y)))
▶40.6%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
▶41.6%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
46.3%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
61.8%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 340 to 264 computations (22.4% saved)

localize1.2s (7.5%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
✓cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)
✓cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
✓cost-diff0
(+.f64 #s(literal -1 binary64) x)
✓cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) x) y)
✓cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff0
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
✓cost-diff0
(log1p.f64 #s(literal -1 binary64))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
✓cost-diff0
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
✓cost-diff13376
(/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))))
✓cost-diff13632
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))))
✓accuracy100.0%
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal -1 binary64) x) y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
✓accuracy100.0%
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
✓accuracy100.0%
(log1p.f64 #s(literal -1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
✓accuracy100.0%
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
Rules
9756×accelerator-lowering-fma.f32
9756×accelerator-lowering-fma.f64
2840×*-lowering-*.f32
2840×*-lowering-*.f64
1758×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032216
164216
2117214
3206214
4389214
5625214
61219186
72857186
85096186
96284186
107487186
117954186
08007172
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ (+ 1 (log (+ 1 (/ (- y x) (- 1 y))))) (- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2))))
1
(/ (+ 1 (log (+ 1 (/ (- y x) (- 1 y))))) (- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2)))
(+ 1 (log (+ 1 (/ (- y x) (- 1 y)))))
(log (+ 1 (/ (- y x) (- 1 y))))
(/ (- y x) (- 1 y))
(- y x)
y
x
(- 1 y)
(- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2))
(pow (log (+ 1 (/ (- y x) (- 1 y)))) 2)
2
(- 1 (log (+ 1 -1)))
(log (+ 1 -1))
-1
(- 1 (log (+ 1 (- 0 x))))
(log (+ 1 (- 0 x)))
(- 0 x)
0
(- 1 (log (/ (+ -1 x) y)))
(log (/ (+ -1 x) y))
(/ (+ -1 x) y)
(+ -1 x)
(- 1 (log (/ (+ -1 (+ x (/ (+ -1 x) y))) y)))
(log (/ (+ -1 (+ x (/ (+ -1 x) y))) y))
(/ (+ -1 (+ x (/ (+ -1 x) y))) y)
(+ -1 (+ x (/ (+ -1 x) y)))
(+ x (/ (+ -1 x) y))
Outputs
(/ 1 (/ (+ 1 (log (+ 1 (/ (- y x) (- 1 y))))) (- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
1
#s(literal 1 binary64)
(/ (+ 1 (log (+ 1 (/ (- y x) (- 1 y))))) (- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2)))
(/.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(+ 1 (log (+ 1 (/ (- y x) (- 1 y)))))
(+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(log (+ 1 (/ (- y x) (- 1 y))))
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(/ (- y x) (- 1 y))
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))
(- y x)
(-.f64 y x)
y
x
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2))
(-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))
(pow (log (+ 1 (/ (- y x) (- 1 y)))) 2)
(pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- 1 (log (+ 1 -1)))
(-.f64 #s(literal 1 binary64) (log.f64 #s(literal 0 binary64)))
(log (+ 1 -1))
(log.f64 #s(literal 0 binary64))
-1
#s(literal -1 binary64)
(- 1 (log (+ 1 (- 0 x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(log (+ 1 (- 0 x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
(- 1 (log (/ (+ -1 x) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(log (/ (+ -1 x) y))
(log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (+ -1 x) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+ -1 x)
(+.f64 x #s(literal -1 binary64))
(- 1 (log (/ (+ -1 (+ x (/ (+ -1 x) y))) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) y)))
(log (/ (+ -1 (+ x (/ (+ -1 x) y))) y))
(log.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) y))
(/ (+ -1 (+ x (/ (+ -1 x) y))) y)
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) y)
(+ -1 (+ x (/ (+ -1 x) y)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(+ x (/ (+ -1 x) y))
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
Results
293.0ms256×0invalid
Compiler

Compiled 223 to 146 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 302.0ms
ival-div: 94.0ms (31.1% of total)
<compiled-spec>: 64.0ms (21.2% of total)
ival-log: 49.0ms (16.2% of total)
ival-add: 46.0ms (15.2% of total)
ival-sub: 28.0ms (9.3% of total)
ival-pow: 13.0ms (4.3% of total)
const: 8.0ms (2.6% of total)
backward-pass: 1.0ms (0.3% of total)

series194.0ms (1.3%)

Counts
20 → 372
Calls
Call 1
Inputs
#<alt (log (+ 1 (/ (- y x) (- 1 y))))>
#<alt (+ 1 (log (+ 1 (/ (- y x) (- 1 y)))))>
#<alt (- 1 y)>
#<alt (- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2))>
#<alt (log (+ 1 -1))>
#<alt (- 1 (log (+ 1 -1)))>
#<alt (log (+ 1 (- 0 x)))>
#<alt (- 0 x)>
#<alt (- 1 (log (+ 1 (- 0 x))))>
#<alt (log (/ (+ -1 x) y))>
#<alt (+ -1 x)>
#<alt (- 1 (log (/ (+ -1 x) y)))>
#<alt (/ (+ -1 x) y)>
#<alt (log (/ (+ -1 (+ x (/ (+ -1 x) y))) y))>
#<alt (+ -1 (+ x (/ (+ -1 x) y)))>
#<alt (+ x (/ (+ -1 x) y))>
#<alt (/ 1 (/ (+ 1 (log (+ 1 (/ (- y x) (- 1 y))))) (- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2))))>
#<alt (/ (+ 1 (log (+ 1 (/ (- y x) (- 1 y))))) (- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2)))>
#<alt (- 1 (log (/ (+ -1 (+ x (/ (+ -1 x) y))) y)))>
#<alt (/ (+ -1 (+ x (/ (+ -1 x) y))) y)>
Outputs
#<alt (log (- 1 x))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))>
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#<alt (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))>
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#<alt (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))>
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#<alt (+ 1 (log (- 1 x)))>
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#<alt (+ 1 (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x)))))))>
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#<alt (+ 1 (+ (log (* -1 (- x 1))) (log (/ -1 y))))>
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#<alt (+ 1 (log (+ 1 (/ y (- 1 y)))))>
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#<alt (+ 1 (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))))>
#<alt (+ 1 (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y)))))))>
#<alt (+ 1 (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x)))))>
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#<alt (+ 1 (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2)))))))>
#<alt (+ 1 (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3))))))))>
#<alt (+ 1 (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x)))))>
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#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (- 1 (pow (log (- 1 x)) 2))>
#<alt (- (+ 1 (* -2 (* y (* (log (- 1 x)) (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))))))) (pow (log (- 1 x)) 2))>
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#<alt (- 1 (pow (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y))) 2))>
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#<alt (* -1 x)>
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#<alt (* -1 x)>
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#<alt 1>
#<alt (+ 1 x)>
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#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))>
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#<alt (- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x)))))>
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#<alt (- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x))))>
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#<alt (log (/ -1 y))>
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#<alt (+ (log (/ -1 y)) (* x (- (* -1/2 x) 1)))>
#<alt (+ (log (/ -1 y)) (* x (- (* x (- (* -1/3 x) 1/2)) 1)))>
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#<alt (- (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (/ 1 x))>
#<alt (+ (log (/ -1 y)) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
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#<alt (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y)>
#<alt (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y)>
#<alt (/ (- x 1) y)>
#<alt (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))>
#<alt (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))>
#<alt (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))>
Calls

93 calls:

TimeVariablePointExpression
42.0ms
y
@0
(log (/ (+ -1 x) y))
17.0ms
y
@-inf
(log (/ (+ -1 x) y))
11.0ms
y
@inf
(/ 1 (/ (+ 1 (log (+ 1 (/ (- y x) (- 1 y))))) (- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2))))
9.0ms
y
@inf
(log (/ (+ -1 x) y))
6.0ms
x
@-inf
(/ 1 (/ (+ 1 (log (+ 1 (/ (- y x) (- 1 y))))) (- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2))))

rewrite887.0ms (5.7%)

Algorithm
1×batch-egg-rewrite
Rules
4856×/-lowering-/.f32
4856×/-lowering-/.f64
4248×accelerator-lowering-fma.f32
4248×accelerator-lowering-fma.f64
3396×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032188
1249158
22353158
09064146
Stop Event
1×iter limit
1×node limit
Counts
20 → 776
Calls
Call 1
Inputs
(log (+ 1 (/ (- y x) (- 1 y))))
(+ 1 (log (+ 1 (/ (- y x) (- 1 y)))))
(- 1 y)
(- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2))
(log (+ 1 -1))
(- 1 (log (+ 1 -1)))
(log (+ 1 (- 0 x)))
(- 0 x)
(- 1 (log (+ 1 (- 0 x))))
(log (/ (+ -1 x) y))
(+ -1 x)
(- 1 (log (/ (+ -1 x) y)))
(/ (+ -1 x) y)
(log (/ (+ -1 (+ x (/ (+ -1 x) y))) y))
(+ -1 (+ x (/ (+ -1 x) y)))
(+ x (/ (+ -1 x) y))
(/ 1 (/ (+ 1 (log (+ 1 (/ (- y x) (- 1 y))))) (- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2))))
(/ (+ 1 (log (+ 1 (/ (- y x) (- 1 y))))) (- 1 (pow (log (+ 1 (/ (- y x) (- 1 y)))) 2)))
(- 1 (log (/ (+ -1 (+ x (/ (+ -1 x) y))) y)))
(/ (+ -1 (+ x (/ (+ -1 x) y))) y)
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(+.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))))
(-.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log1p.f64 (/.f64 (-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))))
(-.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (+.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (log.f64 (-.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))))
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(+.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) (/.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) (/.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (-.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(fma.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (-.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (-.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (-.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 6 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 4 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (-.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))))))
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(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y))
(*.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)) y) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #s(literal -1 binary64)))
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(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (*.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (-.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) #s(literal -1 binary64))))) y))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) #s(literal 1 binary64)))

simplify640.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
5430×*-lowering-*.f32
5430×*-lowering-*.f64
4656×accelerator-lowering-fma.f32
4656×accelerator-lowering-fma.f64
4118×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148722543
1506320070
0827919221
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
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1
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1
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(/.f64 (+.f64 x (-.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) y)
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eval707.0ms (4.6%)

Compiler

Compiled 54010 to 39507 computations (26.9% saved)

prune261.0ms (1.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1329101339
Fresh066
Picked415
Done000
Total1333171350
Accuracy
100.0%
Counts
1350 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
31.4%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) y)) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
▶43.6%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
44.0%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
43.6%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
42.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
61.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
▶41.6%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)))
41.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)) x) y)))
17.3%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
✓41.6%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
46.3%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
▶28.4%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
19.1%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
61.8%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
44.2%
(+.f64 #s(literal 1 binary64) x)
▶44.9%
#s(literal 1 binary64)
Compiler

Compiled 424 to 336 computations (20.8% saved)

localize1.6s (10.5%)

Algorithm
1×egg-herbie
Localize:

Found 30 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
✓cost-diff0
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)
✓cost-diff0
(log.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(log.f64 (/.f64 x y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
✓cost-diff0
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)))
✓accuracy100.0%
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)
✓accuracy84.9%
(log.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
✓accuracy95.5%
(log.f64 (/.f64 x y))
✓accuracy100.0%
(*.f64 x #s(literal -1/4 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))
✓accuracy99.9%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓accuracy100.0%
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
✓accuracy99.2%
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
Rules
21672×accelerator-lowering-fma.f32
21672×accelerator-lowering-fma.f64
3356×+-lowering-+.f64
3356×+-lowering-+.f32
3094×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036279
199279
2261279
3635279
42298279
57619279
08334256
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (- 1 (log (+ 1 (/ (- y x) (- 1 y)))))))
1
(/ 1 (- 1 (log (+ 1 (/ (- y x) (- 1 y))))))
(- 1 (log (+ 1 (/ (- y x) (- 1 y)))))
(log (+ 1 (/ (- y x) (- 1 y))))
(/ (- y x) (- 1 y))
(- y x)
y
x
(- 1 y)
(- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)))
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)
(* x (+ (* x (+ (* x -1/4) -1/3)) -1/2))
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
-1/2
-1
(- 1 (log (/ x y)))
(log (/ x y))
(/ x y)
(- 1 (log (/ (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))) y)))
(log (/ (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))) y))
(/ (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))) y)
(- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y)))
(+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))
(/ (- 1 (+ x (/ (+ -1 x) y))) y)
(- 1 (+ x (/ (+ -1 x) y)))
(+ x (/ (+ -1 x) y))
(/ (+ -1 x) y)
(+ -1 x)
Outputs
(/ 1 (/ 1 (- 1 (log (+ 1 (/ (- y x) (- 1 y)))))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
1
#s(literal 1 binary64)
(/ 1 (- 1 (log (+ 1 (/ (- y x) (- 1 y))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
(- 1 (log (+ 1 (/ (- y x) (- 1 y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(log (+ 1 (/ (- y x) (- 1 y))))
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(/ (- y x) (- 1 y))
(/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))
(- y x)
(-.f64 y x)
y
x
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))))))
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(* x (+ (* x (+ (* x -1/4) -1/3)) -1/2))
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))
(+ (* x (+ (* x -1/4) -1/3)) -1/2)
(+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))
(* x (+ (* x -1/4) -1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(- 1 (log (/ x y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(log (/ x y))
(log.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
(- 1 (log (/ (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) y)))
(log (/ (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))) y))
(log.f64 (/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) y))
(/ (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))) y)
(/.f64 (+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) y)
(- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y)))
(+.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y))
(+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y))
(/ (- 1 (+ x (/ (+ -1 x) y))) y)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) y)
(- 1 (+ x (/ (+ -1 x) y)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(+ x (/ (+ -1 x) y))
(+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))
(/ (+ -1 x) y)
(/.f64 (+.f64 x #s(literal -1 binary64)) y)
(+ -1 x)
(+.f64 x #s(literal -1 binary64))
Results
114.0ms119×0invalid
60.0ms58×0valid
272.0ms53×5exit
71.0ms26×1valid
Compiler

Compiled 288 to 189 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 427.0ms
backward-pass: 108.0ms (25.3% of total)
ival-add: 77.0ms (18% of total)
ival-div: 60.0ms (14% of total)
ival-mult: 47.0ms (11% of total)
ival-sub: 43.0ms (10.1% of total)
<compiled-spec>: 41.0ms (9.6% of total)
ival-log: 41.0ms (9.6% of total)
const: 11.0ms (2.6% of total)

series156.0ms (1%)

Counts
19 → 384
Calls
Call 1
Inputs
#<alt (log (+ 1 (/ (- y x) (- 1 y))))>
#<alt (/ 1 (- 1 (log (+ 1 (/ (- y x) (- 1 y))))))>
#<alt (/ 1 (/ 1 (- 1 (log (+ 1 (/ (- y x) (- 1 y)))))))>
#<alt (/ (- y x) (- 1 y))>
#<alt (* x (+ (* x -1/4) -1/3))>
#<alt (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2))>
#<alt (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))>
#<alt (* x -1/4)>
#<alt (log (/ x y))>
#<alt (- 1 (log (/ x y)))>
#<alt (/ x y)>
#<alt (log (/ (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))) y))>
#<alt (/ (- 1 (+ x (/ (+ -1 x) y))) y)>
#<alt (/ (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))) y)>
#<alt (- 1 (log (/ (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))) y)))>
#<alt (- 1 (log (+ 1 (/ (- y x) (- 1 y)))))>
#<alt (- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)))>
#<alt (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)>
#<alt (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y)))>
Outputs
#<alt (log (- 1 x))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* 1/2 (* y (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))))) (/ 1 (- 1 x))))))>
#<alt (+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (+ (* y (+ (* 1/6 (* y (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))))) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))))) (/ 1 (- 1 x))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (log (/ 1 y)))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (* -1 (/ (- x 1) (* y (+ 1 (* -1 x)))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2))))))>
#<alt (+ (log (neg (+ 1 (* -1 x)))) (+ (log (/ 1 y)) (+ (* -1 (/ (- x 1) (* y (+ 1 (* -1 x))))) (+ (* 1/6 (/ (+ (* -6 (/ (- x 1) (+ 1 (* -1 x)))) (+ (* -6 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2))) (* -2 (/ (pow (- x 1) 3) (pow (+ 1 (* -1 x)) 3))))) (pow y 3))) (* 1/2 (/ (+ (* -2 (/ (- x 1) (+ 1 (* -1 x)))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 x)) 2)))) (pow y 2)))))))>
#<alt (+ (log (* -1 (- x 1))) (log (/ -1 y)))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (/ 1 (- x 1)) (/ x (- x 1))) y))))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1/2 (/ (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))>
#<alt (+ (log (* -1 (- x 1))) (+ (log (/ -1 y)) (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (- 1 x) (- x 1))) (+ (* 2 (/ (pow (- 1 x) 3) (pow (- x 1) 3))) (* 6 (/ (- 1 x) (- x 1))))) y)) (* 1/2 (+ 2 (* -1 (/ (pow (- 1 x) 2) (pow (- x 1) 2)))))) y)) (/ 1 (- x 1))) (/ x (- x 1))) y))))>
#<alt (log (+ 1 (/ y (- 1 y))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* -1 (/ x (* (+ 1 (/ y (- 1 y))) (- 1 y)))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* -1/2 (/ x (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))>
#<alt (+ (log (+ 1 (/ y (- 1 y)))) (* x (- (* x (- (* -1/3 (/ x (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)))) (* 1/2 (/ 1 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)))))) (/ 1 (* (+ 1 (/ y (- 1 y))) (- 1 y))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))))))>
#<alt (+ (log (neg (/ 1 (- 1 y)))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x)) (+ (* -1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) (pow x 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) (pow x 3)))))))>
#<alt (+ (log (/ 1 (- 1 y))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (* (+ 1 (/ y (- 1 y))) (- 1 y)) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* 1/2 (/ (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2)) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))))>
#<alt (+ (log (/ 1 (- 1 y))) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 (/ y (- 1 y))) 2) (pow (- 1 y) 2))) (* -1/3 (/ (* (pow (+ 1 (/ y (- 1 y))) 3) (pow (- 1 y) 3)) x))) x)) (* (+ 1 (/ y (- 1 y))) (- 1 y))) x))))>
#<alt (/ 1 (- 1 (log (- 1 x))))>
#<alt (+ (/ 1 (- 1 (log (- 1 x)))) (/ (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))) (pow (- 1 (log (- 1 x))) 2)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ (pow (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) 2) (pow (- 1 (log (- 1 x))) 3))) (* -1/2 (/ (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) (pow (- 1 (log (- 1 x))) 2)))))) (* -1 (/ (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) (pow (- 1 (log (- 1 x))) 2))))) (/ 1 (- 1 (log (- 1 x)))))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1/2 (/ (* (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x))))) (pow (- 1 (log (- 1 x))) 3))) (+ (* -1/6 (/ (+ (* -6 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (+ (* 2 (/ (pow (+ 1 (* -1 x)) 3) (pow (- 1 x) 3))) (* 6 (/ (+ 1 (* -1 x)) (- 1 x))))) (pow (- 1 (log (- 1 x))) 2))) (/ (* (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) (+ (* -1 (/ (pow (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) 2) (pow (- 1 (log (- 1 x))) 3))) (* -1/2 (/ (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) (pow (- 1 (log (- 1 x))) 2))))) (- 1 (log (- 1 x)))))))) (+ (* -1 (/ (pow (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) 2) (pow (- 1 (log (- 1 x))) 3))) (* -1/2 (/ (+ (* -1 (/ (pow (+ 1 (* -1 x)) 2) (pow (- 1 x) 2))) (* 2 (/ (+ 1 (* -1 x)) (- 1 x)))) (pow (- 1 (log (- 1 x))) 2)))))) (* -1 (/ (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x))) (pow (- 1 (log (- 1 x))) 2))))) (/ 1 (- 1 (log (- 1 x)))))>
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Calls

96 calls:

TimeVariablePointExpression
36.0ms
x
@0
(log (/ x y))
18.0ms
y
@0
(log (/ x y))
16.0ms
x
@-inf
(log (/ x y))
15.0ms
y
@-inf
(log (/ x y))
7.0ms
x
@inf
(log (/ x y))

rewrite592.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
4852×/-lowering-/.f32
4852×/-lowering-/.f64
3118×*-lowering-*.f32
3118×*-lowering-*.f64
2642×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036215
1303215
22936215
08490195
Stop Event
1×iter limit
1×node limit
Counts
19 → 710
Calls
Call 1
Inputs
(log (+ 1 (/ (- y x) (- 1 y))))
(/ 1 (- 1 (log (+ 1 (/ (- y x) (- 1 y))))))
(/ 1 (/ 1 (- 1 (log (+ 1 (/ (- y x) (- 1 y)))))))
(/ (- y x) (- 1 y))
(* x (+ (* x -1/4) -1/3))
(* x (+ (* x (+ (* x -1/4) -1/3)) -1/2))
(* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1))
(* x -1/4)
(log (/ x y))
(- 1 (log (/ x y)))
(/ x y)
(log (/ (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))) y))
(/ (- 1 (+ x (/ (+ -1 x) y))) y)
(/ (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))) y)
(- 1 (log (/ (- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y))) y)))
(- 1 (log (+ 1 (/ (- y x) (- 1 y)))))
(- 1 (* x (+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)))
(+ (* x (+ (* x (+ (* x -1/4) -1/3)) -1/2)) -1)
(- x (+ 1 (/ (- 1 (+ x (/ (+ -1 x) y))) y)))
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(+.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))))))
(-.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x))))) (log1p.f64 (/.f64 (-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))))
(-.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x))))) (log.f64 (+.f64 (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x))))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x))))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (log.f64 (-.f64 (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x))) #s(literal 1 binary64))) (log.f64 (-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y x)))))))
(log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))) (/.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
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simplify592.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
6136×accelerator-lowering-fma.f32
6136×accelerator-lowering-fma.f64
5600×+-lowering-+.f64
5600×+-lowering-+.f32
4530×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094210224
130238551
086618216
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(log (- 1 x))
(+ (log (- 1 x)) (* y (+ (* -1 (/ x (- 1 x))) (/ 1 (- 1 x)))))
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(log (+ 1 (/ y (- 1 y))))
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1
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(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) x) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y))))) x)) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (log.f64 (/.f64 #s(literal -1 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
(* 1/4 (pow x 4))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (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) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/4 (+ (/ 1/2 (pow x 2)) (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(* 1/4 (pow x 4))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (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) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/3 binary64)) x)))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* x (- (* -1/3 x) 1/2)) 1)
(+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(* -1/4 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 (*.f64 x (*.f64 x x))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))) x) #s(literal -1/4 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1/4 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/3 binary64)) x)) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(- (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 x #s(literal -1 binary64)))
(- (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 x #s(literal -1 binary64)))
(- (* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 x #s(literal -1 binary64)))
(* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* x (+ 1 (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))))
(* x (+ 1 (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))))
(* x (+ 1 (+ (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (+ (/ 1 y) (/ 1 (pow y 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))))
(* x (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* -1 (* x (- (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(* -1 (* x (- (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(* -1 (* x (- (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/ (- x 1) (pow y 2))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y y))
(/ (- (+ x (* y (- x 1))) 1) (pow y 2))
(/.f64 (+.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))
(/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 2))
(/.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))
(/ (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1) (pow y 2))
(/.f64 (+.f64 (*.f64 y (+.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64))) (*.f64 y y))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (+ x (/ x y)) (+ 1 (/ 1 y)))
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(+.f64 x (+.f64 (/.f64 x y) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(+.f64 x (+.f64 (/.f64 x y) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (+ x (* -1 (/ (- 1 x) y))) 1)
(+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64)))
(- (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- 1 x))) y))) 1)
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64))) y) (+.f64 x #s(literal -1 binary64)))
(- (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- 1 x))) y))) 1)
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 x #s(literal -1 binary64))) y) (+.f64 x #s(literal -1 binary64)))

eval375.0ms (2.4%)

Compiler

Compiled 36597 to 25389 computations (30.6% saved)

prune187.0ms (1.2%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New109311094
Fresh01111
Picked145
Done011
Total1094171111
Accuracy
100.0%
Counts
1111 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓72.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
31.4%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) y)) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
✓43.6%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
▶44.0%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
43.6%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
▶42.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
61.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
41.4%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y)))
41.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)) x) y)))
17.3%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
✓41.6%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
46.3%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
✓28.4%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
▶19.1%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
▶61.8%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
▶44.2%
(+.f64 #s(literal 1 binary64) x)
✓44.9%
#s(literal 1 binary64)
Compiler

Compiled 370 to 295 computations (20.3% saved)

localize684.0ms (4.4%)

Algorithm
1×egg-herbie
Localize:

Found 30 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 y (-.f64 #s(literal 1 binary64) y))
✓cost-diff0
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
✓cost-diff0
(/.f64 #s(literal -1 binary64) y)
✓cost-diff0
(log.f64 (/.f64 #s(literal -1 binary64) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(/.f64 y (-.f64 #s(literal 1 binary64) y))
✓accuracy99.7%
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
✓accuracy100.0%
(log.f64 (/.f64 #s(literal -1 binary64) y))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
✓accuracy99.8%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy79.4%
(log.f64 (-.f64 #s(literal 1 binary64) x))
Rules
2540×accelerator-lowering-fma.f32
2540×accelerator-lowering-fma.f64
708×*-lowering-*.f32
708×*-lowering-*.f64
588×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024109
159109
2141109
3300109
4861109
51889109
62465109
72560109
82594109
92608109
102614109
0261494
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- 1 (log (- 1 x)))
1
(log (- 1 x))
(- 1 x)
x
(+ 1 x)
(- 1 (* x (+ (* x (+ (* x -1/3) -1/2)) -1)))
(* x (+ (* x (+ (* x -1/3) -1/2)) -1))
(+ (* x (+ (* x -1/3) -1/2)) -1)
(* x (+ (* x -1/3) -1/2))
(+ (* x -1/3) -1/2)
(* x -1/3)
-1/3
-1/2
-1
(- 1 (log (/ -1 y)))
(log (/ -1 y))
(/ -1 y)
y
(- 1 (log (+ 1 (/ y (- 1 y)))))
(log (+ 1 (/ y (- 1 y))))
(/ y (- 1 y))
(- 1 y)
Outputs
(- 1 (log (- 1 x)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
1
#s(literal 1 binary64)
(log (- 1 x))
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
x
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(- 1 (* x (+ (* x (+ (* x -1/3) -1/2)) -1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))
(* x (+ (* x (+ (* x -1/3) -1/2)) -1))
(*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(+ (* x (+ (* x -1/3) -1/2)) -1)
(+.f64 (*.f64 x (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(* x (+ (* x -1/3) -1/2))
(*.f64 x (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))
(+ (* x -1/3) -1/2)
(-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
-1/2
#s(literal -1/2 binary64)
-1
#s(literal -1 binary64)
(- 1 (log (/ -1 y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(log (/ -1 y))
(log.f64 (/.f64 #s(literal -1 binary64) y))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
y
(- 1 (log (+ 1 (/ y (- 1 y)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(log (+ 1 (/ y (- 1 y))))
(log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ y (- 1 y))
(/.f64 y (-.f64 #s(literal 1 binary64) y))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
Results
48.0ms98×0invalid
249.0ms75×5exit
107.0ms69×1valid
22.0ms11×2valid
1.0ms3×0valid
Compiler

Compiled 116 to 85 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 330.0ms
backward-pass: 95.0ms (28.8% of total)
ival-log: 83.0ms (25.2% of total)
ival-mult: 37.0ms (11.2% of total)
<compiled-spec>: 36.0ms (10.9% of total)
ival-sub: 28.0ms (8.5% of total)
ival-add: 25.0ms (7.6% of total)
ival-div: 18.0ms (5.5% of total)
const: 7.0ms (2.1% of total)

series111.0ms (0.7%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (log (- 1 x))>
#<alt (- 1 x)>
#<alt (- 1 (log (- 1 x)))>
#<alt (+ 1 x)>
#<alt (* x -1/3)>
#<alt (* x (+ (* x -1/3) -1/2))>
#<alt (* x (+ (* x (+ (* x -1/3) -1/2)) -1))>
#<alt (+ (* x -1/3) -1/2)>
#<alt (log (/ -1 y))>
#<alt (- 1 (log (/ -1 y)))>
#<alt (/ -1 y)>
#<alt (log (+ 1 (/ y (- 1 y))))>
#<alt (/ y (- 1 y))>
#<alt (- 1 y)>
#<alt (- 1 (log (+ 1 (/ y (- 1 y)))))>
#<alt (- 1 (* x (+ (* x (+ (* x -1/3) -1/2)) -1)))>
#<alt (+ (* x (+ (* x -1/3) -1/2)) -1)>
Outputs
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))>
#<alt (- 1 (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x)))))>
#<alt (- 1 (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x))))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt -1/2>
#<alt (- (* -1/3 x) 1/2)>
#<alt (- (* -1/3 x) 1/2)>
#<alt (- (* -1/3 x) 1/2)>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1/3 x)>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (+ (log -1) (* -1 (log y)))>
#<alt (+ (log -1) (* -1 (log y)))>
#<alt (+ (log -1) (* -1 (log y)))>
#<alt (+ (log -1) (* -1 (log y)))>
#<alt (+ (log -1) (log (/ 1 y)))>
#<alt (+ (log -1) (log (/ 1 y)))>
#<alt (+ (log -1) (log (/ 1 y)))>
#<alt (+ (log -1) (log (/ 1 y)))>
#<alt (log (/ -1 y))>
#<alt (log (/ -1 y))>
#<alt (log (/ -1 y))>
#<alt (log (/ -1 y))>
#<alt (- 1 (+ (log -1) (* -1 (log y))))>
#<alt (- 1 (+ (log -1) (* -1 (log y))))>
#<alt (- 1 (+ (log -1) (* -1 (log y))))>
#<alt (- 1 (+ (log -1) (* -1 (log y))))>
#<alt (- 1 (+ (log -1) (log (/ 1 y))))>
#<alt (- 1 (+ (log -1) (log (/ 1 y))))>
#<alt (- 1 (+ (log -1) (log (/ 1 y))))>
#<alt (- 1 (+ (log -1) (log (/ 1 y))))>
#<alt (- 1 (log (/ -1 y)))>
#<alt (- 1 (log (/ -1 y)))>
#<alt (- 1 (log (/ -1 y)))>
#<alt (- 1 (log (/ -1 y)))>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt (/ -1 y)>
#<alt y>
#<alt (* y (+ 1 (* 1/2 y)))>
#<alt (* y (+ 1 (* y (+ 1/2 (* 1/3 y)))))>
#<alt (* y (+ 1 (* y (+ 1/2 (* y (+ 1/3 (* 1/4 y)))))))>
#<alt (+ (log -1) (log (/ 1 y)))>
#<alt (+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))>
#<alt (+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))>
#<alt (+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))>
#<alt (log (/ -1 y))>
#<alt (+ (log (/ -1 y)) (/ 1 y))>
#<alt (+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))>
#<alt (+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y)))>
#<alt y>
#<alt (* y (+ 1 y))>
#<alt (* y (+ 1 (* y (+ 1 y))))>
#<alt (* y (+ 1 (* y (+ 1 (* y (+ 1 y))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 y)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 y)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- (* -1/2 y) 1)))>
#<alt (+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1)))>
#<alt (- 1 (+ (log -1) (log (/ 1 y))))>
#<alt (- 1 (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (log (/ 1 y))))>
#<alt (- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))>
#<alt (- 1 (log (/ -1 y)))>
#<alt (- 1 (+ (log (/ -1 y)) (/ 1 y)))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (log (/ -1 y)))>
#<alt (- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (log (/ -1 y)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/3)))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
Calls

51 calls:

TimeVariablePointExpression
60.0ms
y
@-inf
(log (/ -1 y))
13.0ms
y
@0
(log (/ -1 y))
11.0ms
y
@inf
(log (/ -1 y))
7.0ms
x
@-inf
(* x -1/3)
0.0ms
x
@inf
(* x (+ (* x -1/3) -1/2))

rewrite790.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
3992×/-lowering-/.f32
3992×/-lowering-/.f64
3688×accelerator-lowering-fma.f32
3688×accelerator-lowering-fma.f64
3572×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024103
1177103
21552102
0833888
Stop Event
1×iter limit
1×node limit
Counts
17 → 549
Calls
Call 1
Inputs
(log (- 1 x))
(- 1 x)
(- 1 (log (- 1 x)))
(+ 1 x)
(* x -1/3)
(* x (+ (* x -1/3) -1/2))
(* x (+ (* x (+ (* x -1/3) -1/2)) -1))
(+ (* x -1/3) -1/2)
(log (/ -1 y))
(- 1 (log (/ -1 y)))
(/ -1 y)
(log (+ 1 (/ y (- 1 y))))
(/ y (- 1 y))
(- 1 y)
(- 1 (log (+ 1 (/ y (- 1 y)))))
(- 1 (* x (+ (* x (+ (* x -1/3) -1/2)) -1)))
(+ (* x (+ (* x -1/3) -1/2)) -1)
Outputs
(log.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log1p.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x)))))
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.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 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(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 x #s(literal -1 binary64) #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 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.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)))
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(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
(*.f64 (+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))))))

simplify842.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
11198×accelerator-lowering-fma.f32
11198×accelerator-lowering-fma.f64
3942×+-lowering-+.f64
3942×+-lowering-+.f32
3256×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411443
17001359
219271340
356141298
085901217
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(- 1 (+ (log -1) (* -1 (log (/ 1 x)))))
(- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x)))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x)))))
(- 1 (* -1 (log (/ -1 x))))
(- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/2 x)
(* x (- (* -1/3 x) 1/2))
(* x (- (* -1/3 x) 1/2))
(* x (- (* -1/3 x) 1/2))
(* -1/3 (pow x 2))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1/3 (pow x 2))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
-1/2
(- (* -1/3 x) 1/2)
(- (* -1/3 x) 1/2)
(- (* -1/3 x) 1/2)
(* -1/3 x)
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1/3 x)
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(+ (log -1) (* -1 (log y)))
(+ (log -1) (* -1 (log y)))
(+ (log -1) (* -1 (log y)))
(+ (log -1) (* -1 (log y)))
(+ (log -1) (log (/ 1 y)))
(+ (log -1) (log (/ 1 y)))
(+ (log -1) (log (/ 1 y)))
(+ (log -1) (log (/ 1 y)))
(log (/ -1 y))
(log (/ -1 y))
(log (/ -1 y))
(log (/ -1 y))
(- 1 (+ (log -1) (* -1 (log y))))
(- 1 (+ (log -1) (* -1 (log y))))
(- 1 (+ (log -1) (* -1 (log y))))
(- 1 (+ (log -1) (* -1 (log y))))
(- 1 (+ (log -1) (log (/ 1 y))))
(- 1 (+ (log -1) (log (/ 1 y))))
(- 1 (+ (log -1) (log (/ 1 y))))
(- 1 (+ (log -1) (log (/ 1 y))))
(- 1 (log (/ -1 y)))
(- 1 (log (/ -1 y)))
(- 1 (log (/ -1 y)))
(- 1 (log (/ -1 y)))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
y
(* y (+ 1 (* 1/2 y)))
(* y (+ 1 (* y (+ 1/2 (* 1/3 y)))))
(* y (+ 1 (* y (+ 1/2 (* y (+ 1/3 (* 1/4 y)))))))
(+ (log -1) (log (/ 1 y)))
(+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))
(+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))
(+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))
(log (/ -1 y))
(+ (log (/ -1 y)) (/ 1 y))
(+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))
(+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y)))
y
(* y (+ 1 y))
(* y (+ 1 (* y (+ 1 y))))
(* y (+ 1 (* y (+ 1 (* y (+ 1 y))))))
-1
(* -1 (+ 1 (/ 1 y)))
(- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)
(- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y)))
-1
(* -1 (+ 1 (/ 1 y)))
(- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* -1/2 y) 1)))
(+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1)))
(- 1 (+ (log -1) (log (/ 1 y))))
(- 1 (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (log (/ 1 y))))
(- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))
(- 1 (log (/ -1 y)))
(- 1 (+ (log (/ -1 y)) (/ 1 y)))
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (log (/ -1 y)))
(- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (log (/ -1 y)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/3)))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(* -1/3 (pow x 2))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(* -1/3 (pow x 2))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
Outputs
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+.f64 (+.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 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))
(* -1 (log (/ -1 x)))
(log.f64 (-.f64 #s(literal 0 binary64) x))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 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 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
(- 1 (+ (log -1) (* -1 (log (/ 1 x)))))
(-.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)))
(- (+ 1 (/ 1 x)) (+ (log -1) (* -1 (log (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (+ (log -1) (* -1 (log (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))) (+ (log -1) (* -1 (log (/ 1 x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(- 1 (* -1 (log (/ -1 x))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(- (+ 1 (/ 1 x)) (* -1 (log (/ -1 x))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (-.f64 #s(literal 0 binary64) x))))
(- (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x))) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) x)) 1) x))) (* -1 (log (/ -1 x))))
(+.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/3 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* x (- (* -1/3 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* x (- (* -1/3 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
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(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* -1 (* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
-1/2
#s(literal -1/2 binary64)
(- (* -1/3 x) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))
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(- (* -1/3 x) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
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(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
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(*.f64 x #s(literal -1/3 binary64))
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))
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(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))
(+ (log -1) (log (/ 1 y)))
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(+ (log -1) (log (/ 1 y)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))
(+ (log -1) (log (/ 1 y)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))
(log (/ -1 y))
(log.f64 (/.f64 #s(literal -1 binary64) y))
(log (/ -1 y))
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(log (/ -1 y))
(log.f64 (/.f64 #s(literal -1 binary64) y))
(log (/ -1 y))
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(- 1 (+ (log -1) (* -1 (log y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))))
(- 1 (+ (log -1) (* -1 (log y))))
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(- 1 (+ (log -1) (* -1 (log y))))
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(- 1 (+ (log -1) (log (/ 1 y))))
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(- 1 (+ (log -1) (log (/ 1 y))))
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(- 1 (+ (log -1) (log (/ 1 y))))
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(- 1 (log (/ -1 y)))
(+.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) y)))
(- 1 (log (/ -1 y)))
(+.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) y)))
(- 1 (log (/ -1 y)))
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(- 1 (log (/ -1 y)))
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(/ -1 y)
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(/ -1 y)
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(/ -1 y)
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(/ -1 y)
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(/ -1 y)
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(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
y
(* y (+ 1 (* 1/2 y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y)))
(* y (+ 1 (* y (+ 1/2 (* 1/3 y)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) y)))))
(* y (+ 1 (* y (+ 1/2 (* y (+ 1/3 (* 1/4 y)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/4 binary64))))))))
(+ (log -1) (log (/ 1 y)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 y))
(+ (log -1) (+ (log (/ 1 y)) (/ 1 y)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 y)))
(+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)))
(+ (log -1) (+ (log (/ 1 y)) (+ (/ 1/2 (pow y 2)) (+ (/ 1 y) (* 1/3 (/ 1 (pow y 3)))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) y)) y) (log.f64 y)))
(log (/ -1 y))
(log.f64 (/.f64 #s(literal -1 binary64) y))
(+ (log (/ -1 y)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 (-.f64 #s(literal 0 binary64) y)))
(+ (log (/ -1 y)) (+ (/ 1/2 (pow y 2)) (/ 1 y)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
(+ (log (/ -1 y)) (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) y)) 1) y)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) y)) y))
y
(* y (+ 1 y))
(*.f64 y (+.f64 #s(literal 1 binary64) y))
(* y (+ 1 (* y (+ 1 y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(* y (+ 1 (* y (+ 1 (* y (+ 1 y))))))
(*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 y y)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 y)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 y)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(- (* -1 (/ (+ 1 (/ 1 y)) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* -1/2 y) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) y))))
(+ 1 (* y (- (* y (- (* -1/3 y) 1/2)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/3 binary64) y))))))
(- 1 (+ (log -1) (log (/ 1 y))))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 #s(literal -1 binary64))))
(- 1 (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))
(+.f64 (log.f64 y) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (log.f64 #s(literal -1 binary64))))
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (+ (log -1) (log (/ 1 y))))
(+.f64 (-.f64 #s(literal 1 binary64) (log.f64 #s(literal -1 binary64))) (-.f64 (log.f64 y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y)))
(- (+ 1 (* -1 (/ (+ 1/2 (* 1/3 (/ 1 y))) (pow y 2)))) (+ (log -1) (+ (log (/ 1 y)) (/ 1 y))))
(+.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 y) (log.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) y)) y))
(- 1 (log (/ -1 y)))
(+.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) y)))
(- 1 (+ (log (/ -1 y)) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
(- (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ 1 y))) y))) (log (/ -1 y)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (log.f64 (-.f64 #s(literal 0 binary64) y))))
(- (+ 1 (* -1 (/ (+ 1 (+ (/ 1/3 (pow y 2)) (* 1/2 (/ 1 y)))) y))) (log (/ -1 y)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) y)) y) (log.f64 (-.f64 #s(literal 0 binary64) y))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/3 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3)))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/3)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- (* x (- (* -1/3 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(- (* x (- (* -1/3 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))

eval217.0ms (1.4%)

Compiler

Compiled 17901 to 13483 computations (24.7% saved)

prune155.0ms (1%)

Pruning

29 alts after pruning (19 fresh and 10 done)

PrunedKeptTotal
New73716753
Fresh437
Picked055
Done055
Total74129770
Accuracy
100.0%
Counts
770 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
43.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
44.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
✓72.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
44.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
18.5%
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 (-.f64 #s(literal 0 binary64) y))))
18.4%
(-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) y)) y)))
41.2%
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/4 binary64)))))))))
41.8%
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) y))))))
41.3%
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))))
✓43.6%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
✓44.0%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
43.6%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓42.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
61.8%
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
41.2%
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
✓41.6%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
46.3%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
✓28.4%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
✓19.1%
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
✓61.8%
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
42.1%
(-.f64 #s(literal 1 binary64) y)
18.1%
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (log.f64 (-.f64 #s(literal 0 binary64) y))))
✓44.2%
(+.f64 #s(literal 1 binary64) x)
43.5%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
43.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
15.5%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
3.9%
x
✓44.9%
#s(literal 1 binary64)
Compiler

Compiled 818 to 601 computations (26.5% saved)

regimes207.0ms (1.3%)

Counts
40 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (log.f64 (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y)))
(-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) y)) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)) x) y)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) y)) y)) y)) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)))))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)) x) y)))
Calls

6 calls:

105.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
40.0ms
x
32.0ms
y
13.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
8.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
87.7%5x
100.0%3y
100.0%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
100.0%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
100.0%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
100.0%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 52 to 38 computations (26.9% saved)

regimes51.0ms (0.3%)

Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (log.f64 (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y)))
(-.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) y)) y)) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y))) y)))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))) y)))
Calls

4 calls:

24.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
12.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
7.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
5.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
99.9%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
99.9%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
99.9%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
99.9%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes43.0ms (0.3%)

Counts
34 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (log.f64 (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y))) y)))
Calls

4 calls:

16.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
11.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
7.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
5.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
Results
AccuracySegmentsBranch
99.8%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
99.8%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
99.8%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
99.8%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes40.0ms (0.3%)

Counts
32 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) (log.f64 (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) (log.f64 (-.f64 #s(literal 0 binary64) y))))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
Calls

4 calls:

16.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
10.0ms
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
7.0ms
(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
5.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
99.8%2(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))))
99.8%2(log.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))))
99.8%2(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)))
99.8%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes23.0ms (0.2%)

Counts
28 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
Calls

1 calls:

21.0ms
y
Results
AccuracySegmentsBranch
98.5%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes85.0ms (0.5%)

Counts
25 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))))
Calls

2 calls:

62.0ms
x
20.0ms
y
Results
AccuracySegmentsBranch
85.5%3x
87.3%5y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes70.0ms (0.5%)

Counts
24 → 5
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (-.f64 #s(literal 0 binary64) x)))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))
Calls

2 calls:

47.0ms
x
18.0ms
y
Results
AccuracySegmentsBranch
87.1%5y
74.2%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
Outputs
(-.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
Calls

1 calls:

14.0ms
y
Results
AccuracySegmentsBranch
75.3%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.1%)

Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
(-.f64 #s(literal 1 binary64) (log1p.f64 (neg.f64 x)))
Calls

2 calls:

12.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
61.8%1x
61.8%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Accuracy

Total -28.4b remaining (-80.6%)

Threshold costs -28.4b (-80.6%)

Counts
19 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) y))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 #s(literal 1/3 binary64) (*.f64 y #s(literal 1/4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (log1p.f64 #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (log1p.f64 y))
Outputs
#s(literal 1 binary64)
Calls

2 calls:

7.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
44.9%1x
44.9%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.9392574027477574e-10
0.9995875277906009
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9995875277906009
0.9997661684942224
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.999961365538546
0.9999993960494181
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999993960494181
0.999999992581371
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch49.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
0.00023009103237261428
15566.12146928123
17.0ms
-2423.4057592555214
-0.012394996290534376
Results
21.0ms288×0valid
8.0ms136×0invalid
Compiler

Compiled 361 to 303 computations (16.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sub: 8.0ms (45.3% of total)
ival-log: 5.0ms (28.3% of total)
ival-div: 3.0ms (17% of total)
const: 1.0ms (5.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch217.0ms (1.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
175.0ms
4.987670442265565e-8
9274757.337517038
22.0ms
-6788854.521620749
-0.032302881748560615
Results
62.0ms619×0invalid
33.0ms190×1invalid
10.0ms140×0valid
17.0ms98×1valid
22.0ms81×2invalid
20.0ms66×2valid
Compiler

Compiled 380 to 319 computations (16.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-sub: 41.0ms (36.5% of total)
ival-div: 32.0ms (28.5% of total)
backward-pass: 18.0ms (16% of total)
ival-log: 16.0ms (14.2% of total)
const: 4.0ms (3.6% of total)

bsearch140.0ms (0.9%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
64.0ms
0.00023009103237261428
15566.12146928123
19.0ms
-2423.4057592555214
-0.012394996290534376
32.0ms
-2.6109357597486405e+75
-1.3377820966572332e+63
9.0ms
-1.0887752756763645e+123
-8.747687768183897e+122
Results
39.0ms554×0invalid
28.0ms346×0valid
26.0ms150×1valid
0.0ms1×1invalid
Compiler

Compiled 559 to 471 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-sub: 30.0ms (52.2% of total)
ival-log: 11.0ms (19.1% of total)
ival-div: 9.0ms (15.7% of total)
backward-pass: 5.0ms (8.7% of total)
const: 2.0ms (3.5% of total)

bsearch20.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
-2423.4057592555214
-0.012394996290534376
Results
12.0ms144×0valid
1.0ms15×0invalid
Compiler

Compiled 172 to 150 computations (12.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (43.5% of total)
ival-log: 2.0ms (29% of total)
ival-div: 1.0ms (14.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

soundness3.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 270 to 183 computations (32.2% saved)

preprocess172.0ms (1.1%)

Compiler

Compiled 678 to 458 computations (32.4% saved)

end0.0ms (0%)

Profiling

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